Find the volume of the following solid. The solid in the first octant bounded by the coordinate planes and the surface zy

Answer:

\(d \approx 8.2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point F (2, 7)

Point G (4, -1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer: 56.9 years to 63.1 years.

Step-by-step explanation:

Confidence interval for population mean (when population standard deviation is unknown):

\(\overline{x}\pm t_{\alpha/2}{\dfrac{s}{\sqrt{n}}}\)

, where \(\overline{x}\)= sample mean, n= sample size, s= sample standard deviation, \(t_{\alpha/2}\)= Two tailed t-value for \(\alpha\).

Given: n= 24

degree of freedom = n- 1= 23

\(\overline{x}\)= 60 years

s= 7.4 years

\(\alpha=0.05\)

Two tailed t-critical value for significance level of \(\alpha=0.05\) and degree of freedom 23:

\(t_{\alpha/2}=2.0687\)

A 95% confidence interval on the true mean age:

\(60\pm (2.0686){\dfrac{7.4}{\sqrt{24}}}\\\\\approx60\pm3.1\\\\=(60-3.1,\ 60+3.1)\\\\=(56.9,\ 63.1)\)

Hence, a 95% confidence interval on the true mean age. : 56.9 years to 63.1 years.

Answer:

A

Step-by-step explanation:

If you sub in all the values, you get [1+5][2(-1)-1]. Now combine like terms. 1+5 is 6 and 2*-1-1=-3. 6*-3=-18 so the answer is A.

Answer:

x = 3

Step-by-step explanation:

If the same number is added to the numerator of 12/13 and subtract from the denominator, the new fraction is equal to 3/2. What is the number?

\(\frac{12+x}{13-x} =\frac{3}{2}\)

multiply both sides by 13-x:

\((13-x)\frac{12+x}{13-x} =\frac{3}{2}(13-x)\\\\12+x = \frac{3(13-x)}{2} \\\\12+x = \frac{39-3x}{2} \\\)

multiply both sides by 2:

\(2(12+x) = (\frac{39-3x}{2})\\\\24+2x = 39-3x\)

subtract 24 from both sides:

24 + 2x - 24 = 39 - 3x - 24

2x = 15 - 3x

add 3 x to both sides:

2x + 3x = 15 - 3x + 3x

5x = 15

divide both sides by 5:

5x/5 = 15/5

x = 3

check:

\(\frac{12+x}{13-x} =\frac{3}{2}\\\\\frac{12+3}{13-3} =\frac{3}{2}\\\\\frac{15}{10} =\frac{3}{2}\\\\\frac{3}{2} =\frac{3}{2}\)

Answer:

A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm

Calculate the volume using the value 22/7. 

Step-by-step explanation:

Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.

The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.

solve the equation logₓ(64) + 5 = 2, we can follow these steps:

Step 1: Move the constant term to the other side of the equation:

logₓ(64) = 2 - 5

logₓ(64) = -3

Step 2: Rewrite the equation in exponential form:

x^(-3) = 64

Step 3: Rewrite 64 as a power of x:

x^(-3) = x^6

Step 4: Set the exponents equal to each other:

-3 = 6

The equation -3 = 6 is not true, which means there is no real solution to the given equation.

Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.

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Answer:

9 1/2 ounces

Step-by-step explanation:

76÷8=9 4/8= 9 1/2 ounces

Answer:

Coordinates A and B: (1, 0) and (3, 0)

Coordinates of P: (0, 3)

Coordinates of Q: (2, -1)

Step-by-step explanation:

You're pretty much given the x-intercepts from the original equation.

y = (x - 1)(x - 3). So to get the x-intercepts (points A and B), y has to equal 0. So,

0 = (x - 1)(x - 3).

and y = 0 when x equals 1 and 3. Because anything multiplied by 0 equals 0. So substituting 1 for the value of x, for example, we get:

0 = (1 - 1)(1 - 3)

0 = 0 * (-2)

So there are your x-intercepts, points A and B.

Now,

Expand the brackets of the equation.

y = (x - 1)(x - 3) becomes

y = x^2  -  4x  + 3

You get the y-intercept (point P) by substituting 0 for the value of x. Doing so gives:

y = 0^2 - 4*0 + 3

y = 0 - 0 + 3

y = 3

So, we have our y-intercept (0, 3).

Point Q, the x-coordinate of the vertex is calculated with the equation -b/2a

Taking our expanded equation: x^2 - 4x + 3

which is of the form ax^2 + bx + c

So we find the values of a, b and c and input the values into the equation

a = 1

b = -4

c = 3

So, inputting these into the vertex equation, gives:

-(-4) / 2 * 1

4 / 2

2

So we have the x-coordinate of the vertex. Now that we know that, we can just substitute it into the expanded equation to give the y-coordinate:

y = 2^2 - 4*2 + 3

y = 4 - 8 + 3

y = -1

So there's our y-coordinate, and now we have both the x and y coordinate for the vertex, point Q. (2, -1).

The answer is D: conjecture

The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.

The other answer choices are defined as follows:

A. conjugation - the act of changing a verb to agree with its subject

B. conjunction - a connecting word

C. congruence - the state of agreeing, matching, or coinciding

D. conjecture - an opinion or conclusion formed on the basis of incomplete information

So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.

Answer:

The contractor made an error in calculating the unit price of the padded work gloves.

Step-by-step explanation:

To find the unit price of an item, we need to divide the total cost of the item by the number of units purchased. In this case, the contractor purchased 7 dozen pair of padded work gloves, which is equal to 7 x 12 = 84 pair of gloves. Therefore, the unit price of the padded work gloves is $103.32 / 84 pair = $1.23 per pair.

The contractor incorrectly calculated the unit price as $14.76, which is an error of $14.76 - $1.23 = $13.53. This error occurred because the contractor did not correctly take into account the number of units purchased when calculating the unit price.

Hope this helps:)

Answer:

A) The relation is a function.  Every input (x) and only one output (y)

B) Domains are the x values: 1,2,3,4,5,6

The Ranges are the y values: 1,4,9,16,25,36

Step-by-step explanation:

Answer:

\(\frac{17}{28}\)

Step-by-step explanation:

I hope this helps!

The percentage of bicyclists that finished the race in less than 56 minutes is 96 %

Percentage is a ratio out of hundred

If in a​ race, 24 out of the 25 bicyclists finished in less than 56 minutes. To find what percent of bicyclists finished the race in less than 56 ​minutes, we first write it in a fraction as number/total

Since

We have that

fraction = number/total

= 24/25

Now to write it as a percentage, we multiply by 100.

So, we have that percentage = fraction × 100 %

So, we have that in percentage = 24/25 × 100 %

= 24 × 4 %

= 96 %

So, the percentage is 96 %

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Answer:

0.5714

Step-by-step explanation:

tan theta = perpendicular upon base that is P/B

P= 4

B= 7

P/B = 4/7 = 0.5714

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

Answer:

24:40

Step-by-step explanation:

To find the radio for red dye to total drops of dye, just add the red and blue dye.

The ratio of drops of red dye to total drops of dye is 3:2.

When a number is divisible by another number, then it can be written in the form of a:b, this is called Ratio.

Priya is making frosting.

The number of drops of blue dye is 16.

The number of drops of red dye is 24.

Ratio ( Red dye : Blue dye) = 24 : 16

Ratio ( Red dye : Blue dye) = 3:2

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Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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Answer:

if it's a 45 45 90 angle it should be 8

The interval of the function f(x) = 3 · x - eˣ such that the function shall be positive is x ∈ (0.6191, 1.5121).

In this question we have an expression that combines polynomic and exponential expression, whose variable x cannot be cleared by analytical approaches, but by numerical and graphical methods. Herein we decide to find the interval by graphical methods, using a graphing tool:

First, write the function in explicit form (f(x) = 3 · x - eˣ). Second, find the two points such that the function goes through the x-axis (horizontal axis). Third, define the set of possible x-values by interval notation such that y > 0.

Then, the points of the function that are on the x-axis are (x₁, y₁) = (0.6191, 0) and (x₂, y₂) = (1.5121, 0). Then, the interval of the function f(x) = 3 · x - eˣ such that the function shall be positive is x ∈ (0.6191, 1.5121).

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Answer:

3/25

Step-by-step explanation:

12% is equal to 0.12, which is equal to 12/100.

Simplify.

12/100

Divide numerator and denominator by 2.

6/50

Divide numerator and denominator by 2.

3/25.

Answer:

Since I just sold my home, the mean was most important to me. It tells me what I would most likely get and where to place my opening bid.

Step-by-step explanation:

The median and the range has their uses. So does the range.

Albert himself has the most interest in the mean providing his commission is a constant one (usually 6% -- at least in Canada). His commission would be 5 times the average * 6%.

A buyer might have an entirely different view. I think the range would interest him the most. That tells him he has a variety of choices and his economics would determine what he will choose.

I'm sure that the real estate company would be most concerned with range as well. It would tell them where they should focus their advertising. They might want to focus on the mode because there are 2 choices there or the median which is quite a ways away.

Answer:

4.5

Step-by-step explanation:

Just did the Lesson

The expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

We break up a number according to its place value and expand it to show the value of each digit.

Given that to write expanded form of 706.039

Expanded Factors Form:

706.039 = 7 × 100  + 0 × 10 + 6 × 1  + 0 × 0.1 + 3 × 0.01 + 9 × 0.001

Expanded Notation Form:

706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

Hence, the expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

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Answer:

D

Step-by-step explanation:

do you want an explanation?

btw, plz brainliest :)

Answer:

prime factorization of 28

28 = 2 × 2 × 7

prime factorization of 50

50 = 2 × 5 × 5

Step-by-step explanation:

GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2

pls thats the answer have a nice day

Answer:

2

Step-by-step explanation:

The absolute value of a number is its distance from zero, since distance is always positive, the absolute value is always positive.

| -2 + 4 |

Simplify,

|2|

= 2