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The base of a solid S is the triangle enclosed by the line x+y=1, the x-axis, and the y-axis.
Cross-sections perpendicular to the x-axis are equilateral triangles.

Determine the exact volume of solid S.

Also bounds are from 0 to 1.
Solve using integration.

Their new velocity after the collision is 2.97m/s

According to the law of momentum, the sum of momentum of bodies before the collision is equal to their sum after the collision.

The formula for calculating the momentum of a body is expressed as:
Momentum = mass * velocity

According to the law

m1u1 + m2u2 = (m1 + m2)v

v is the new velocity after the collision

Substitute the given values

1000(3) + 10(0) = (1000+10)v

3000 = 1010v

v = 3000/1010

v = 2.97m/s

Hence their new velocity after the collision is 2.97m/s

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Volume Formula: length x width x height

---Let's first write down what we're given.

Volume = 80

Length = 4

Width = 4

Height = ?

---Now, plug what we know into the formula for volume and solve for the missing variable.

80 = 4 x 4 x h

80 = 16 x h

h = 5

g = 5 centimeters

Hope this helps!

Answer:

89.97

Step-by-step explanation:

5.99+79.99 = 85.98 + 3.99  = 89.97

Answer:

x = 88 -5y/2

Step-by-step explanation:

(2x - 4) + 5y + x = 180
x = 180 - (2x - 4) -5y -x

x = 180 - x - 4 -5y

x = 176 - x -5y

2x = 176 - 5y
x = 88 -5y/2
Hope this helps :)

Answer:

C is the answer

Step-by-step explanation:

people who usually volunteers really don't get represented

Answer:

6.25 weeks

Step-by-step explanation:

Take 18.75 and divide it by 3, since the crew is finishing 3 km per week. You get 6.25, so it took the crew 6.25 weeks to finish the road.

Hopefully this helps- let me know if you have any questions!

Answer and Explanation:

1 - 0.69/ 2 = 0.155

0.155 = -1.02

(-1.02, 1.02) = z

The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution is  (-1.02, 1.02).

Z- score refers to how much a given value differs from the standard deviation.

The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution.

α = 1 - 0.69/ 2

α =  0.155

0.155 = -1.02

z = (-1.02, 1.02)

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Answer:

Step-by-step explanation:

He is incorrect.

We are not only subtracting 1 from 5 but 1/4 also,  so the result has to be less than 4.

5 - 1 1/4

= 5 - 1 -1/4

= 3 3/4.

Answer:

and

Step-by-step explanation:

we have

-----> equation A

------> equation B

we know that

The solution of the system of equations is equal to the intersection point of both graphs

Using a graphing tool  

see the attached figure

There are two intersection points

Therefore

The system of equations has two solutions

The solutions of the system of equations are the points  and

Answer:

16

Step-by-step explanation:

You're doing a subtraction problem between (x+5) and (2x+3)

(x+5) - (2x+3) =

**You need to solve for x first then plug it in to find the answer.***

(I had to break the parentheses because that is the only way to solve)

-x +8

x= -8

-8 + 5 - (-16+3)

-3 + 16 + 3

13 + 3 = 16

Answer:

-x+2

Step-by-step explanation:

(x+5)-(2x+3)
distribute
x+5-2x-3
combine like terms
x-2x+5-3
-x+2

Answer: 1,096 cups

Step-by-step explanation:

Answer: 1096 cups left.

Step-by-step explanation: 20% of 5,480 is 1096.  This is accurate because 20% is one-fifth of 100%.  In this case, 5,480 is our 100%.  When you divide 5,480 by 5, you get the answer 1,096, which is 20% of the 5,480 cups that Eric started with.

Have a great day! :)

Answer:

1. 314.159

2. 3,801.327

3. 1,407.433

Answer:

the answer to question a is 24

the answer to question b is 8

Answer:

Short-term parking is generally used by drivers who will be in the airport for less than four hours. On-site long-term parking allows travelers to park their cars for the duration of their trip. Off-site long-term parking offers discounted parking space for travelers wishing to park for the duration of their trip.

Answer:

2 days.

Step-by-step explanation:

Candice has already taken 5 pictures total, so if she needs to have seven in total she will only have to go on vacation for two days.

Answer:

A. 35

Step-by-step explanation:

a || b .....(given)

line c is their transversal.

-> x° + (3x + 40)° = 180° (Interior angles on the same side of transversal)

-> (3x + 40 + x)° = 180°

-> (4x + 40)° = 180°

-> 4x + 40 = 180

-> 4x = 180 - 40

-> 4x = 140

-> x = 140/4

-> x = 35

Answer:

3.75?

Step-by-step explanation:

I dont know if this is what youre looking for but I guess?

The correct statement about the data set is the mean would be the best measure of central tendency for Mr Cochran's class because the data is symetrical.

A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode.

Mean is the average of a data set. Median is the number at the center of the data set. Mode is the number that occurs most in the data set.  A data set is negatively skewed if the mean is less than the mode. If the mean is equal to the mode, the data is symmetric.

Mean of Mrs culpepper’s class = (1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3) / 10 = 1.9

Mode of Mrs culpepper’s class = 1

Mean of mr Cochran's class  = (1+ 1 + 2 + 3 + 3 + 3 + 3 + 4 + 9 + 9) / 10 = 3.8

Mode of mr Cochran s class = 3

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Answer:

C. Narrower and the margin of error would decrease

The required, option b (wider and the margin of error would increase) is the correct answer.

In statistics, the margin of error (MOE) is the degree of uncertainty associated with a statistical estimate, usually an estimate of a population parameter based on a sample of data. It is the range of values above and below a sample statistic that is likely to contain the true population parameter with a certain level of confidence.

Compared to a 90% confidence interval, a 95% confidence interval will be wider and the margin of error would increase.

This is because a higher confidence level requires a larger range of possible values to be included in the interval, which in turn leads to a wider interval. With a higher confidence level, the z-score used to calculate the margin of error increases, resulting in a larger margin of error.

Therefore, option b (wider and the margin of error would increase) is the correct answer.

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Answer:

$464

Step-by-step explanation:

(I don't really know how to explain it though.)

[tex]===========================================[/tex]

Let's create an expression that always results in 6 more than a multiple of 5.

First, let the unknown number be x.

Then, we should multiply it times 5 and add 6 (6 more means we add 6)

So the expression is

5x+6

Will this work? We can easily check by plugging in some numbers:

5(2)+6

10+6

10 is a multiple of 5

16 ✓

Try another number:

5(3)+6

15+6

21 ✓

Try a negative number:

5(-3)+6

-15+6

-9 ✓

Try zero:

5(0)+6

0+6

6 ✓

[tex]============================[/tex]

[tex]^\square\boxed{An~Emotional~Helper}^\square^\bigstar[/tex]

An algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.

The given statement is "6 more than a multiple of 5 if the variable is an integer".

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Let the unknown number be x.

A multiple of 5 is 5x

6 more than a multiple of 5 if the variable is an integer

= 5x+6

Hence, an algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.

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solution:

[tex]\frac{299}{6}=49\frac{5}{6}[/tex]

decimal result:

[tex]49.833[/tex]

1. Simplify the expression

[tex]26/3*23/4[/tex]

Multiply the fractions:

[tex]\frac{\left(26\cdot23\right)}{\left(3\cdot4\right)}[/tex]

Cancel terms:

[tex]\frac{\left(13\cdot23\right)}{\left(3\cdot2\right)}[/tex]

Simplify the arithmetic:

[tex]\frac{299}{\left(3\cdot2\right)}[/tex]

Simplify the arithmetic:

[tex]\frac{299}{6}[/tex]

Simplify the fraction:

[tex]\frac{299}{6} =49\frac{5}{6}[/tex]

[tex]==========================================[/tex]

First, let's convert the mixed numbers into improper fractions:-

[tex]\bf{8\displaystyle\frac{2}{3}[/tex]

[tex]\displaystyle\frac{26}{3}[/tex]

Now, do the same for the second fraction:-

[tex]\displaystyle\frac{23}{4}[/tex]

Now, the formula for the area is

[tex]\bold{A=bh}[/tex]

We know both b and h, so we can just plug in the values and solve:

[tex]\bold{A=\displaystyle\frac{26}{3} *\frac{23}{4} }}[/tex]

Actually, we can reduce some fractions here (we can divide 26 and 4 by 2)

[tex]\bold{\displaystyle\frac{13}{3} *\frac{23}{2}}[/tex]

Multiplying 13 times 23 is easier than multiplying 26 times 13.

Now, this can only be done if the numbers do have some common factors. Both fractions are now in simplest form; 13, 23, 3 & 2 don't have common factors.

Multiply:

[tex]\bold{\displaystyle\frac{13*23}{3*2}}}[/tex]

The answer is

[tex]\bold{\displaystyle\frac{299}{6}}[/tex]

Convert to a Mixed Number:-

[tex]\bold{49\displaystyle\frac{5}{6}}[/tex]

[tex]==================================[/tex]

Nickname:- [tex]\mathbb{DiAmOnD}[/tex]

[tex]\boxed{An~emotional~helper}[/tex]

A percentage is a way to describe a part of a whole. The number of French people at the conference is 50.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the total number of people in the conference is 500, while 10% of the participants are french. Therefore, the number of people who are French at the conference can be written as,

Number of French People = 10% of the number of people in the conference

[tex]\text{Number of French People} = \dfrac{10}{100} \times 500 = 50[/tex]

Hence, the number of French people at the conference is 50.

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Answer:

48

Step-by-step explanation:

8x3x2= 48

Answer:

its 48

Step-by-step explanation:

8x3x2= 48

So we see one large triangle, that can be split into two triangles split by the thin dotted line:

Let us find the other leg of the First triangle which also happens to be the height of the larger triangle, using the Pythagorean theorem

     [tex]a^2+b^2=c^2\\a^2 + 11^2 = 26^2\\a^2 = 26^2-11^2=555\\a=23.56[/tex]

Thus the height of the entire triangle is 23.56 which also happens to be one of the legs of the Second triangle

     [tex]a^2+b^2=c^2\\a^2+(23.56)^2=42^2\\a^2 = 1764-555=1209\\a = 34.77[/tex]

Having found the other leg of the Second Triangle, we can find the base of the larger triangle is:

     -->  34.77 + 11 = 45.77

The height as found in the first initial step is 23.56 thus the area is

   Area = [tex]\frac{1}{2}*b*h=\frac{1}{2}*23.56*45.77=539.17[/tex]

Hope that helps!

It has a ratio of 1:4, meaning for every x, you'd get 4 from your y

Answer:

To answer this, we have to do the equation below:

[tex]1,380/80[/tex]

When we do this, we come up with the answer of 17.25

Now we know that we get paid $17.25 an hour.

Now, we must do the equation below:

[tex]100 X 17.25[/tex]

When we multiply, we get the answer of 1,725

So, we get paid $1,725 if we work for 100 hours.

Step-by-step explanation:

Hope this helps!

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