Drag and drop three values into the space provided that will make the inequality 18 − 3x < 10 true.

The wrap has an area of  1.12π square inches.

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

Given, The net of a cylinder with a diameter of both circles labeled 1.6 inches.

So, The complete circle or the circumference of the circle will be the length of the wrap which is,

= 2π×0.8.

= 1.6π and the height of the wrap is 0.7 inches.

Therefore, the area of the wrap is 1.6π×0.7 square inches.

= 1.12π square inches.

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Answer: The real answer is 2.4π square inches (B)

Step-by-step explanation:

(Get ready for a long explanation)

So, we are trying to find the Surface Area of the cylinder.

We need to use the formula (SA = 2πr^2 + 2πrh)

Looks like a very long formula, but let do it in parts.

So the first part is just finding the area of the circle and multiplying by 2 because there are two bases. The area formula for circles is (πr^2)

But this time put a 2 in there. (2πr^2)

Okay lets get started. The diameter is 1.6. The radius is half the diameter, so divide 1.6 by 2 and you will get 0.8 which is the radius.

Now times the radius by itself (0.8 * 0.8 = 0.64) Now times that by 2 (0.64 * 2 = 1.28) The answer should be in terms of pi so just put the pi symbol next to 1.28  (1.28π)

On to the next part, (2πrh) you are basically taking the circumference of either circle base, and multiplying that by the height, which is (0.7)

The formula for Circumference is (2πr)

We already have the diameter so we don't need times the radius by 2.

So take the diameter of the circle base (1.6) and multiply that by the height, which is (0.7)
(1.6 * 0.7 = 1.12π)

Now for the last part, we need to add the two values together to find the surface area.

The first value we found is (1.28π ) and the second is (1.12π)

Now add (1.28π  + 1.12π = 2.4π)

Answer: 2.4π square inches

Sorry for the really long explanation. I took the same test and I got it right so here is proof that it is correct. Have a great day y'all.

Assuming both rescue crafts travel at the same rate, the second coast guard craft would get to the distressed boat the fastest.

In order to determine the rescue crafts that got to the distressed boat fastest, we would have to determine the craft with the shortest travel distance by using their respective coordinates from the coordinates of the boat that is in trouble (49, 64).

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

For the first rescue craft, we have;

Distance = √[(60 - 49)² + (82 - 64)²]

Distance = √[(11)² + (18)²]

Distance = √[121 + 324]

Distance = √445

Distance = 21.10 units.

For the second coast guard craft, we have;

Distance = √[(58 - 49)² + (47 - 64)²]

Distance = √[(9)² + (-17)²]

Distance = √[81 + 289]

Distance = √370

Distance = 19.24 units.

In this context, we can reasonably and logically deduce that the second rescue craft would travel fastest.

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Answer:

y=1/3x-3

Step-by-step explanation:

I can't draw the line, but I can turn this into slope-intercept for it to be easier to graph! The equation would look like this:

y=1/3x-3

Hope this helps!! Have a great day! ^^

C. The point estimate of the difference between the two population means is 2.

D. The 90% confidence interval estimate of the difference between the two population means is (1.748, 0.867)

Given that:

Sample 1 mean (x1) = 9

Sample 2 mean (x2) = 7

Sample 1 standard deviation (σ1^2) = 2.28

Sample 2 standard deviation (σ2^2) = 1.79

C. To find point estimate of the difference between the two population   means.

sample mean(x1) - sample mean(x 2)

 = 9 - 7

= 2

Therefore, point estimate = 2

D. To find 90% confidence interval estimate of the difference between the two population means

90% confidence for 't'

df = (n1 + n2) - 2

   = 12-2

   = 10

90%  confidence with df = 10 is t

t = 1.812

point estimate + 1 - t * \(\sqrt{\frac{s^2_{1} }{n_{1} } + \frac{s^2_{2} }{n_{2} } }\)

2 + 1 - 1.812*\(\sqrt{\frac{2.28^2}{6} + \frac{1.79^2}{6} }\)

3 - 1.812 *\(\sqrt{0.866 + 0.534}\)

1.188 * 0.9305 + 0.7307

(1.748, 0.867)

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Answer:

its A because the Y intercept is at 3

We can write g in terms of f as: g(x) = f(x) - 3 = x² - 3

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

To write g in terms of f, we can use function composition, which involves plugging the function f(x) into g(x) wherever we see x.

So, we have:

g(x) = f(x) - 3

where f(x) = x².

Substituting f(x) into g(x), we get:

g(x) = (x²) - 3

Therefore, we can write g in terms of f as:

g(x) = f(x) - 3 = x² - 3.

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Answer:

Patel’s initial deposit was $3000

Step-by-step explanation:

Given:

Simple interest (S.I.) = 5%

Time period (t) = 10 years

Interest earned (r) = $1500

To find: Patel’s initial deposit

Solution:

Simple interest is a method of calculating the interest charged on the principal, or original amount of a loan.

Let p denotes original amount of a loan

\(S.I.=\frac{p\times r\times t}{100}\\\Rightarrow 1500=\frac{p\times 5\times 10}{100}\\\Rightarrow p=\frac{1500\times 100}{5\times 10}\\=3000\)

So, Patel’s initial deposit was $3000

Answer: answer is B

Step-by-step explanation:

use Pythagorean theorem to find other side. And sine is opposite side over hypotenuse.

Step-by-step explanation:

4(a-3b) - 2(a-2b)

4a - 12b - 2a - 4b

2a - 16b

Answer:

------------------------

Use the given expression z/16, substitute z with 40 and calculate:

Answer:

The p-value will be "0.0549".

Step-by-step explanation:

The given values are:

Time, t = 15 minutes

Df, σ = 25-1 = 24

Now,

⇒  \(H_{0}:\sigma^2\leq 150\)

and,

⇒  \(H_{1}:\sigma^2>150\)

As we know,

Chi square = \(\frac{(n-1)s^2}{(\sigma^2)}\)

On putting the values in the above formula, we get

⇒                = \(\frac{24\times 15^2}{150}\)

⇒                = \(\frac{24\times 225}{150}\)

⇒                = \(36\)

Therefore, p-value = 0.0549

The p-value determined > 0.05, the null hypothesis also isn't dismissed at point 0.05.

\(50/60\)

That should be your answer

Answer:

Hello, There! I'm here to help!

Which fractions are equivalent to 10/12?

According to The Question I'm guessing you mean 10/12

If so The Following Fractions are Equilvalent to 10/12

1. 20/24

2. 30/36

3. 40/48

5. 50/60

Step-by-step explanation:

To get Eqilvalent You Can Multiply Number  to the fractions to find out what's Equilvalent

Therefore, I hope this helps you!

3) By the time Janet pays off the loan, the total interest she would have paid is D. $941.17.

4) By the time Jane pays off the loan, the total cost of her tip is B. $4,441.17.

5) The equation to find the new balance after each month's payment is D. New balance = Previous balance - Total monthly payment.

The monthly payments can be computed by first computing the total payments (future value of the loan). Then, the above figure is divided by the number of periods.

For instance, the total cost of Janet's trip is $4,441.17.  The payments are made for 24 months. Dividing $4,441.17 by 24 gives $941.17.

N (# of periods) = 24 months (2 x 12)

I/Y (Interest per year) = 24%

PV (Present Value) = $3,500

FV (Future Value) = $0

Results:

PMT = $185.05

Sum of all periodic payments = $4,441.17 ($3,500 + $941.17)

Total Interest = $941.17

Thus, Janet would have spent $4,441.17 to obtain a loan of $3,500 for her trip at 24% interest with 24 months for repayment.

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To get one stamp for each envelope and have nine extra, we must purchase one box of envelopes and five packs of stamps.

Let's call the number of packs of envelopes we need to buy "e" and the number of packs of stamps we need to buy “s”.

We know that envelopes come in packs of 6, and we need one envelope for each stamp, so we need 6s envelopes in total. We also know that stamps come in packs of 8, and we need one stamp for each envelope, so we need 8e stamps in total.

We are told that we have  \(9\) stamps left over, which means we have 8e + 9 stamps in total. We also know that we need 6s envelopes in total. Putting these two equations together, we get:

\(8e + 9 = 6s\)

We want to find the least amount of envelopes and stamps we need to buy, so we want to minimize e + s. Let's start by finding some possible values of e and s that satisfy the equation above:

If  \(e = 1\) , then  \(s = 5\) . This gives us a total of 8 envelopes and 40 stamps, which is enough for our needs.

If  \(e = 2\) , then  \(s = 9\) . This gives us a total of 12 envelopes and \(72\)  stamps, which is also enough for our needs.

Since we want to minimize e + s, we choose the first option, where \(e = 1\) and \(s = 5.\)

Therefore, we need to buy 1 pack of envelopes and 5 packs of stamps to get one stamp for each envelope with 9 left over.

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Answer:

-1

Step-by-step explanation:

It hits the y-axis at -1, so the answer is -1.

The answer is:

1° a lake that you want to measure the size of. You can create triangles that encompass the lake, but you can’t effectively measure the distance across the lake to the opposing shore at the point where the perpendicular meets the opposing side.

2° imagine a case where you are surveying a piece of land, but there is a building in the center where you cannot measure the perpendicular through it, but you can measure the sizes of triangles that encompass it. So you can measure the edges, but not the perpendicular.

3° Imagine a field whose area has to be calculated accurately.

Answer:

See below.

Step-by-step explanation:

a. 5 points have names.  There is an infinite number of points in the plane, but most of them are nameless!

b. two

c. one

d. line a.  Also known as \(\overleftrightarrow{VW}, \overleftrightarrow{VX}, \overleftrightarrow{WX}\)

e. W

f. \(\overleftrightarrow{YW}, \overleftrightarrow{YZ}, \overleftrightarrow{WZ}\) are all good names

g. V, W, Z is just one of several sets of 3 non-collinear points.

h. plane XWZ  (name it using 3 non-collinear points

Answer:

101 it called ratios

Step-by-step explanation:

it simple you see the pattern it goes 101010 and the next three is 101

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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Yes, the dressmaker is correct because the area of the fabric is 1 yard

The formula for calculating the area of a rectangle is expressed with the formula;

A = lw

Such that the parameters from the equation are represented as;

From the information given, we have;

l = 2/3 yards

w = 1 1 /2 yards

Convert to improper fractions

width, w = 3/2 yards

Substitute the values, we get;

Area = 3/2 × 2/3

Multiply the numerators

Area = 6/6

Divide the values

Area = 1 yard

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The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

Add both

Put in first one

Find

8 halls would be required to accommodate 520 people in the hall.

As we know that a hall can accommodate 65 people.

To determine the number of hall required for 520 people,

first we need to find that how many halls would be required for one person,

So, we will divide the 1 by 6 to find :

The number of one person accommodate = 1/65 Hall

Then, 520 people required to accommodate = 1/65 × 520

                                                                      = 8 Halls.

[Accommodate: to have enough space for somebody/something, especially for a certain number of people]

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f(x)= x^2

if f(x) = -x^2 it reflect over the x-axis.

if f(x)= x^2-k it shifts down k units.

So, the correct option is:

option 1

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Hi

500 *1.025^10 ≈ 640.04