Incorrect
7(14+49)
7(2+49)
Question 5
60
0/1 pts
Fabric is sold in stores from bolts that are 45 or 60 inches wide. What is the
width, in inches, of the widest strips of fabric you can cut from either bolt
without wasting any of the fabric if each strip has the same width?

Answers

Answer 1

Answer:

15

Step-by-step explanation:

The greatest common factor of 45 and 60 is 15.


Related Questions

Write 10,100,or 1,000 to make each statement true. C. 1,000,000 is-------------times greater than 100,000.

Answers

10 makes the statement true

1,000,000 is 10 times greater than 100,000.

Given :

We use 10 or 100 or `1000 to make each statement true

1,000,000 is-------------times greater than 100,000.

Lets multiply 100,000 by 10 or 100 or 1000 and check

\(100,000 \cdot 10= 1,000,000\\100,000 \cdot 100= 10,000,000\\\\100,000 \cdot 1000= 100,000,000\\\)

From this we can see that

1,000,000 is 10 times greater than 100,000.

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Carrie has a 10-ft plank of wood. She wants to cut 3 pieces that are each 2 ⅔ feet long from the plank. How long will the plank be after she cuts off the three pieces?

Answers

Answer:

2ft

Step-by-step explanation:

(3)2 2/3= 8

10-8 = 2ft left

Subtraction is a mathematical operation that reflects the removal of things from a collection.  The length of the plank after Carrie cuts off the three pieces is 2 ft.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given that Carrie has a 10-ft plank of wood. She wants to cut 3 pieces that are each 2 ⅔ feet long from the plank. Therefore, the length of the plank after she cut off the three pieces is,

Length of the plank afterward = 10ft - 2⅔ ft - 2⅔ ft - 2⅔ ft

                                                  = 10ft - 2.6667 ft - 2.6667 ft - 2.6667 ft

                                                  = 2 ft

Hence, the length of the plank after Carrie cuts off the three pieces is 2 ft.

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Which of these is not a possible r-value

Which of these is not a possible r-value

Answers

Answer:

1.75

I believe the correct answer is option D, a value of greater than 1 is not a possible value of r or the correlation coefficient in statistics. It is a measurement of the direction and strength of relationship between variables. Its value would only have a range of positive one to negative one.

Step-by-step explanation:

This is an answer from another brainly, the same question was asked and answered.

Answer:

D

Step-by-step explanation:

Anything greater than 1 is not possible

Find the length x.
3
6
3.5

Find the length x.363.5

Answers

Answer:

X = 7

Step-by-step explanation:

If you look you can see that the middle line has 6 and 3.

3 is half of 6 right?

So this means that 3.5 is half of whatever x is.

Just multiply 3.5 by 2 to find x.

(3.5)(2) = x

x = 7

Therefore, x is equal to 7.

I hope this helps!!

- Kay :)

The curvature of a circle is inversely proportional to its radius. What is the exact circumference of a circle with one-third the curvature of a circle of radius 1?

Answers

The circumference of a circle with one-third the curvature of a circle of radius 1 is 18.85 units

What is circumference ?

The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.

If a circle has a radius of 1,

the curvature is inversely proportional to this

So, the curvature= 1

A circle with a curvature of 1/3 :

radius=3

Thus, the circumference of the circle  =  2 *π * radius

                                                               =  2*π * 3

                                                               =  6π

                                                               ≈ 18.85 units

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C Clodi Que Significan las siglas SGR?​

Answers

Answer:

Es el acronimo de la (Contraloría General de la República

Step-by-step explanation:

Espero ayudarte suerte

Significado de SGR. El significado de la sigla SGR es el acrónimo de Sociedades de Garantía Recíproca. El significado de la sigla SGR es el acrónimo de sociedad de garantía recíproca y pertenece a la categoría Europa. El significado de la sigla SGR es el acrónimo de Sociedad de Garantías Recíprocas.

What translation would map C onto A?

A. (x – 7, y + 3)

B. (x + 3, y – 7)

C. (x – 3, y + 7)

D. (x + 7, y – 3)

What translation would map C onto A?A. (x 7, y + 3)B. (x + 3, y 7)C. (x 3, y + 7)D. (x + 7, y 3)

Answers

Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

insert two numbers between 54 and 2 so that the four numbers are in geometric sequence.​

Answers

Answer:

2,6,18,54

How I got this answer:

Each term after the first is found by multiplying by a fixed, non-zero number called a common ratio.

step by step:

2×3=6

6×3=18

18×3=54

The common ratio is 3.

Please solve the question below 1

Please solve the question below 1

Answers

Answer:

A

Step-by-step explanation:

Find the mean:

Day 1: 2

Day 2: 1

Day 3: 4

Day 4: 5

Day 5: 0

Day 6: 7

Mean = \( \frac{2 + 1 + 4 + 5 + 0 + 7}{6} = 3.17 \)

This does not exceed a daily mean of 3.5 hours which was set by her mom as a guideline.

Therefore we can conclude that:

"Chawrdi complied with the guideline because the mean number of hours played is \( \frac{2 + 1 + 4 + 5 + 0 + 7}{6} = 3.17 \).

93,83,65,59,88,76,86,93,48,73,54,79
What is the percentage of these test scores that are less than 88?

Answers

58.33% of the test scores are less than 88

Which of the following points satisfies y < 3x - 6?

(2, -4)

(1,0)​

Which of the following points satisfies y &lt; 3x - 6?(2, -4)(1,0)

Answers

The point (2,-4) satisfies y < 3x - 6

Answer: (2,-4)

Explanation: The coordinates are in the form (x,y) so 2 is the x value, and -4 is the y value. You substitute these values into the equation:

y<3x-6
-4<3(2)-6
-4<6-6
-4<0

Now let’s substitute (1,0) into the inequality:

y<3x-6
0<3(1)-6
0<3-6
0<-3

This is false as 0 is greater than -3, not less than. Hope this helps :)

} One number is 8 times another. When the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number. What are the numbers?​

Answers

The numbers are 1 and 8.

We have,

Let's assume the lesser number as "x" and the greater number as "8x".

According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:

8x - x = 5x + 2

Simplifying the expression:

7x = 5x + 2

Subtracting 5x from both sides:

2x = 2

Dividing both sides by 2:

x = 1

So, the lesser number is 1 and the greater number is 8 times that, which is 8.

Therefore,

The numbers are 1 and 8.

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10÷2[500÷5{6 + (21+7-24)}}
can any one ????​​

102[5005{6 + (21+7-24)}}can any one ????

Answers

Answer:

5,000

Step-by-step explanation:

=10÷2[500÷5{6+4}

=10÷2[500÷5×10]

=10÷2[100×10]

=10÷2×1000

=5×1000

=5000

b) The Median and Mode of the following wage distribution are known to be $33.5 and $34 respectively. Three frequency values from the table are, however, missing. Find the missing values. Wages (in $) 0-10 10 - 20 20 - 30 30 - 40 40 - 50 50-60 60-70 Frequencies (f) 10 10 ? ? ? 6 230 repsectively ​

Answers

The missing values are 60, 100 and 40 if the Median and Mode of the  wage distribution are known to be $33.5 and $34 respectively

Wages (in Rs)_freq____        CF

0-10________4___________4

10-20_______16________20

20-30_______x________20+x

30-40______y_________20+x+y

40-50______z________20+x+y+z

50-60______6_______26+x+y+z

60-70______4______30+x+y+z

Since total 230

So, 30+x+y+z=230

x+y+z=200

Mode =34

Median = 33.5

By solving the equations we get x=60, y=100 and z=40

Hence, the missing values are 60, 100 and 40

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What is an equation of the line that passes through the point ) (8,−5) and is parallel to the line
5x+4y=24?

Answers

By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.

The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.

To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.

Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.

Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.

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A salesperson earns $99 per day, plus a 9% sales commission. Find a function that
expresses her earnings as a function of sales, and use it to compute her earnings if the
total sales were $999. The salesperson would take home $___ for the day?
$188.00
$188.91
$188.99
$189.99

Answers

Answer:

$188.91

Step-by-step explanation:

$999*.09=$89.91

$89.91+$99=$188.91

Given BCM=ZYR find each missing measure

Answers

Answer:

Step-by-step explanation:

Since, ΔBCM ≅ ΔZYR,

∠B ≅ ∠Z

∠C ≅ ∠Y

∠M ≅ ∠R

And BC ≅ ZY

CM ≅ YR

BM ≅ ZR

a). CM = YR = 11 m

b). BM = RZ = 15 m

c). YZ = BC = 8 m

d). m∠B = m∠Z = 45°

e). m∠M = 180° - [m(∠B) + m(∠C)]

             = 180° - (45 + 103)°

             = 180° - 148°

             = 32°

f). m∠Y = m∠C = 103°

The side lengths are as follows: YZ is 8, BM is 15, and CM is 11. and angle B has a measure of 45 degrees. The angle C is 103 and the angle m is 32.

What is a Congruent triangle?

Congruent triangles are two triangles that are the same size and shape. They remain congruent if we flip, turn, or rotate one of two congruent triangles. If the sides of two triangles are the same, they must have the same angles and thus be congruent.

Congruent triangles have equal corresponding sides and angles

The measure of the side lengths are: YZ = 8,BM = 15 and CM = 11

The measure of the angles is angle B = 45. angle C = 103 and  angle m  =32

The given parameter is:

Tri angle BCM = Triangle ZYR

This means that triangles BCM and ZYR are congruent.

So, we have the following congruent sides

YZ = CB

BM = ZR

CM = YR

so, the measure of the side lengths are:

YZ = 8

BM = 15

CM = 11

Also, we have the following congruent angles

angle B = angle Z

angle C =  angle Y

angle M =  angle R

the measure of the angles are

angle B = 45

angle Y = 103

The measure of angle M is calculated using:

∠M + ∠C + ∠B = 180

∠M = 32

Therefore, The measure of the side lengths is: YZ is 8, BM is 15 and CM is 11. and The measure of the angles is angle B is 45. angle C is 103 and angle m  is 32.

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Given BCM=ZYR find each missing measure

Let f (x) = x - 4 . Graph g(x) = f (5x)


Choose the description of the transformation from the graph of f to the graph of g.
A.) The graph of g is a horizontal stretch of the graph of f by a factor of 5.
B) The graph of g is a horizontal shrink of the graph of f by a factor of 1/5
C) The graph of g is a vertical stretch of the graph of f by a factor of 5
D) The graph of g is a vertical shrink of the graph of f by a factor of 1/5

And what points would be plotted on a graph?

Answers

The graph of g(x) is on the image at the end, and the correct option for the transformation is B.

Which is the transformation applied?

We define a horizontal dilation of scale factor k as:

g(x) = f(k*x)

if k > 1, we have a stretch.

if  0 < k < 1, we have a shink of scale factor 1/k

Here we have:

g(x) = f (5x) = 5x - 4

We can notice that k = 5, then we have a stretch, thus, the correct option is B.

The graph of function g(x) can be seen in the image at the end.,

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Let f (x) = x - 4 . Graph g(x) = f (5x)Choose the description of the transformation from the graph of

Which graph is an exponential growth model?
А
В
С

Which graph is an exponential growth model?

Answers

Answer:

The graph that have an exports growth model is A.

AZ Vocabulary
1. A number line shows numbers in order using a scale.
On the number line below, the distance between 0 and 1 is divided
into 5 equal parts.
Each part is of the whole.
9000
Label the number line.
0
1

Answers

Each part of the whole is 1/5 or 0.2.

What is number line?

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

The distance between 0 and 1 is divided into 5 parts.

This means,

Each part.

= 1/5

= 0.2

We see that,

The distance between 0 and 1 is 1.

i.e

1 - 0 = 1

And,

Since it is divided into 5 parts.

1 part = 1 ÷ 5 = 1/5

And,

1/5 + 1/5 + 1/5 + 1/5 + 1/5

= 5/5

= 1

Thus,

Each part of the whole is 1/5 or 0.2.

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random sample of n equal to 25 scores is selected from a normally distributed population with mu equal to 52 and sigma equal to 12. what is the probability that the sample mean will be less than 58

Answers

There is a 0.9994 percent probability that the group mean will be less than 58.

To find the probability that the sample mean is less than 58, we need to calculate the z-score for this sample mean and find the corresponding probability from the standard normal distribution.

The formula for calculating the z-score is:

z = (x - μ) / (sigma / √(n))

where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.

Substituting the given values, we get:

z = (58 - 52) / (12 / √(25))

z = 3.33

Now we need to find the probability that a z-score less than 3.33 would occur by chance. From a standard normal distribution table, we find that the area to the left of a z-score of 3.33 is approximately 0.9994.

Therefore, the probability that the sample mean will be less than 58 is approximately 0.9994. This means that in 99.94% of random samples of size 25, the sample mean will be less than 58.

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solve the following for x

solve the following for x

Answers

Answer:

x = 27

Step-by-step explanation:

\(\displaystyle 4x^{\frac{2}{3}}-5=31\\4x^\frac{2}{3}=36\\x^{\frac{2}{3}}=9\\x=9^\frac{3}{2}\\x=27\)

...................................................................

...................................................................

Answers

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Is landing on a number less then 10 on a 6 sided dice impossible?

Answers

Answer:yes

Step-by-step explanation:

if you have two dice one dice can land on a 4 and 6

27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 35 college students are randomly selected, find the probability that

a. Exactly 9 of them major in STEM.

b. At most 11 of them major in STEM.

c. At least 11 of them major in STEM

Answers

The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

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According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge drinking" behavior, having five or more drinks on one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is lower than the national proportion. In a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. Of these, 162 admitted to having engaged in binge drinking.


Required:

Using the most conservative estimate, what sample size would be required to reduce the margin of error to 2 percentage points?

Answers

Answer:

The sample size required is 2188.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

\(CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The margin of error for this interval is:

\(MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The information provided is:

X = 162

n = 462

MOE = 0.02

Assume the confidence level as 95%.

Compute the sample proportion as follows:

\(\hat p=\frac{X}{n}=\frac{162}{462}=0.351\)

The z-critical value for 95% confidence interval is:

\(z_{0.025}=1.96\)

Compute the sample size required as follows:

\(MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

      \(n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\)

         \(=[\frac{1.96\times\sqrt{0.351(1-0.351)}}{0.02}]^{2}\\\\=2187.781596\\\\\approx 2188\)

Thus, the sample size required is 2188.

What is the slope of the line represented by the equation y = -1/2x + 1/4

Answers

Answer:

Hey there! The answer to your question will be below

Step-by-step explanation:

The answer to your question is -1/2

-1/2x + 1/4

= -1/2

Hope that helps

By:xBrainly

What is the sum?

StartFraction x Over x + 3 EndFraction + StartFraction 3 Over x + 3 EndFraction + 2 Over x + 3 EndFraction
Five-thirds
StartFraction x + 5 Over x + 3 EndFraction
StartFraction x + 5 Over 3 x + 27 EndFraction
StartFraction 6 x Over x + 3 EndFraction

What is the sum?StartFraction x Over x + 3 EndFraction + StartFraction 3 Over x + 3 EndFraction + 2 Over

Answers

Answer:

4 i think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A family is planning their vacation to Disney World. They will drive from a small town outside New Orleans,
Louisiana, to Orlando, Florida, a distance of 700 miles. They plan to average a rate of 55 mph. How long will this
trip take?

Answers

The time taken for the trip will be 12.7 hours.

How to calculate the value?

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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A rectangle with the dimensions of 2 feet
by 8 feet is similar to a rectangle with the
dimensions of
А 4 feet by 16 feet
B. 6 feet by 12 feet
C 12 feet by 32 feet
D 22 feet by 28 feet

Answers

Answer: A. 4ft by 16ft

Given rectangle: 2 feet by 8 feet. Similar rectangle: Option A (4 feet by 16 feet).

Use the concept of the rectangle defined as:

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Given that,

Rectangle dimensions: 2 feet by 8 feet

And here are the options provided:

A) 4 feet by 16 feet

B) 6 feet by 12 feet

C) 12 feet by 32 feet

D) 22 feet by 28 feet

To determine if two rectangles are similar,

Compare their corresponding side lengths.

In this case,

A rectangle with dimensions 2 feet by 8 feet.

After simplifying it we can write 1:4

Let's check each option to see if it matches the similarity:

A) 4 feet by 16 feet:

The ratio of the corresponding side lengths is 2:8, which simplifies to 1:4. However, the given rectangle has side lengths of 4:16,

Which simplifies to 1:4 as well.

So, option A is similar to the given rectangle.

B) 6 feet by 12 feet:

The given rectangle has side lengths of 6:12,

Which simplifies to 1:2.

So, option B is not similar to the given rectangle.

C) 12 feet by 32 feet:

The given rectangle has side lengths of 12:32,

Which simplifies to 3:8.

So, option C is not similar to the given rectangle.

D) 22 feet by 28 feet:

The given rectangle has side lengths of 22:28,

Which simplifies to 11:14.

So, option D is not similar to the given rectangle.

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Why does Eleanor Roosevelt most likely use the image of Aladdins lamp in her speech? which of the three domains is the largest in terms of numbers? group of answer choices prokaryotes archaeans eukaryotes Rewrite this expression using distributive property: 4a + 4b - 5 reflect upon this quote"Consequently we have the choice between a badly trained imagination and a well trained one [...] you soon realize that our imagination is what our whole social life is based on. We have feelings but they affect only us and those immediately around us and feelings cannot be directly conveyed by words at all. We have intelligence and the capacity for reasoning but in ordinary life we almost never get a chance to use the intellect by itself [...] and practically everything we do is the combination of emotion and intellect we call imagination that goes to work "The Educated Imagination- Northrop Frye the recommended centrifugation setting for preparation of the urine sediment is: PLEASE ANSWER! WILL MARK BRAINLIEST!! A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes. Find an orthogonal basis of the subspace \( W \) of \( \mathbb{R}^{5} \) spanned by \[ \left\{\vec{u}_{1}=(1,1,1,0,1), \vec{u}_{2}=(1,0,0,-1,1), \vec{u}_{3}=(3,1,1,-2,3), \vec{u}_{4}=(0,2,1,1,-1)\righ Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations. z= xy z = 0 y= x^4 x= 1first octant V = _____________ dy dx = ______ What are some financial intermediaries that are not formally organized or regulated as investment companies but serve similar functions? A security program alerts you of a failed logon attempt to a secure system. On investigation, you learn the system's normal user accidentally had caps lock turned on. What kind of alert was it?A.True positiveB.True negativeC.False positiveD.False negative the demand curve for spinach shows the quantity demanded of spinach True or False?Neptune's volume is more than 50 times as great as that of Earth. Record for at least 30 seconds and choose a minimum of 3 structures below to create your own sentencesms/menos + adverb + que = more/lessthanExample: I listen to K-pop music more frequently than Reggaeton music. I really like.tan + adiective + como = asasExample: My favorite band is not as popular as my friend's favorite band. It is.tanto(-a, -05, -as) + noun(s) + como = as much/manyasExample: The solo artist won as many awards as the musical group. Thev are very...definite article + noun + ms/menos + adjective + de = the most/leastExample: In my opinion, the least exciting type of music of all is. The most exciting is. what is the answer to this please help T/F. gender does not vary according to culture because all cultures have the same standards for expected behaviors. 15What is the process of changing one situation into another in order to meet a goal? A. problem solving B. functional fixedness C. mental mode D. deductive reasoning HELP ME FASTT!Which quote from the story helps show the dramatic irony in the story of the Titanic?Responses"Down in the plain wooden cabins of the steerage class were 706 immigrants.""She was not only the largest ship afloat, but was also believed to be the safest.""Slowly, the Titanic stopped.""Her sister ship, the Olympic, had been in service for some months already." f Italy can produce 100,000 more pounds of chocolate every year by forgoing the production of 200,000 pounds of pasta, what is the opportunity cost of 1 pound of chocolate Why might President Obama have called Rosa Parks a "genuine American hero" in this speech? Support your answer using key details from the text. Determine whether the series converges or diverges.[infinity] 3 / ( 4n + 5 )n=1