VsgsscNw d dhdnBskele r. Eheu

Answer:

πr2h

3

Step-by-step explanation:

Answer:

q=L/(B - z)

Step-by-step explanation:

It's actually very easy just make q the subject of the formula by dividing both sides by (B - z)

Given the mass of each box, and the total number of boxes, multiply both quantities to obtain the total mass, as shown below

Therefore, the answer is 24kg.

The third side of a triangle with sides of 35 ft and 26 ft and an included angle of 16° is equal to 12.31 feet.

The third side of a triangle with sides of 120 ft and 100 ft and an included angle of 47° is equal to 89.62 feet.

In order to determine the missing side length of a geometric figure with the adjacent and hypotenuse side lengths given, you should apply the law of cosine:

C² = A² + B² - 2(A)(B)cosθ

Where:

A, B, and C represent the side lengths of a triangle.

Substituting the given data points into the law of cosine formula, we have the following;

C² = 35² + 26² - 2(35)(26)cos16

C² = 1,225 + 676 - 1,749.50

C = √151.5

C = 12.31 feet.

For the second triangle, we have:

C² = 120² + 100² - 2(120)(100)cos47

C² = 14,400 + 10,000 - 16,367.96

C = √8,032.04

C = 89.62 feet.

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Answer: y intercept =  y=-1/3x+4, point-slope = (y-6)=-1/3(x+6)

Step-by-step explanation:

9514 1404 393

Answer:

  y = -1/3x +4

Step-by-step explanation:

The graph of the line has two points marked on it.

  (x1, y1) = (-6, 6) . . . . . left point

  (x2, y2) = (0, 4) . . . . right point, and y-intercept

The slope of the line is the ratio of the differences:

  m = (y2 -y1)/(x2 -x1)

  m = (4 -6)/(0 -(-6)) = -2/6 = -1/3

The y-intercept is the y-value where the line crosses the y-axis. Here, that y-value is 4.

In the slope-intercept form of the equation for the line, the slope is called m, and the y-intercept is called b. For this line, we have m=-1/3, b=4.

The equation is ...

  y = mx +b

  y = -1/3x +4 . . . . . the equation you're looking for

Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

The Matching is :

1. \(i^{81\) = i

2. \(i^{52\) = 1

3.  \(i^{99\) = -i

4.  \(i^{66\) = -1.

Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1).

Given:

1. \(i^{81\)

= i. \(i^{80\)

= i . (i²\()^{40\)

= i (-1\()^{40\)

Now, the even power of (-1) gives 1.

\(i^{81\) = i

2. \(i^{52\)

= 1 . (i²\()^{26\)

Now, the even power of (-1) gives 1.

=1

3.  \(i^{99\)

= i. \(i^{98\)

= i . (i²\()^{49\)

= i (-1\()^{49\)

Now, the odd power of (-1) gives -1.

\(i^{81\) = -i

4.  \(i^{66\)

= 1 . (i²\()^{33\)

Now, the odd power of (-1) gives -1.

= (-1)

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Answer:

\(-\frac{32}{3}\)  or -10.666666666666 or -10 2/3.

Step-by-step explanation:

The question is asking what Y value makes them equal to each other. Thankfully you know that your primary (and only) goal is to isolate the y value and get it's numerical value.

First let's simplify the equation.

-6y-90=3y+6

Now lets do the PEMDAS operations to isolate Y and get it's numerical value.

-6y-90=3y+6

-6y-90-6=3y+6-6

-6y-96=3y

-96=9y

\(-\frac{32}{3}\) = y

Answer:g=0 is not the solution

Step-byd-step explanation:

-1 1/2 is a negative number and 0 is not negative

Answer:

g=0

Step-by-step explanation:

happy to help ya :)

The congruent reason for the triangles is (b) HL theorem

From the question, we have the following parameters that can be used in our computation:

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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Answer:

Confidence Interval =-0.76,+1.56

Step-by-step explanation:

The confidence interval can be determined by

(x1`- x2`) ± z∝/2 √s1²/n1 + s2²/n2

z∝/2 for 93% is 1.81

The mean and the standard deviations can be calculated using the calculator.

The mean x1`= ∑x/ n=  5+ 5+ 6+ 6+ 6+ 3+ 4+ 6+ 6+ 6

                                  = 53/10= 5.3

Standard deviation = s1`=   1.0049= 1.005

The mean x2`= ∑x/ n=  7+ 3+ 4 +7+ 4+ 7+ 3+ 3+ 7+ 4/10

                                  = 49/10= 4.9

Standard Deviation = s2= 1.75783= 1.76

Putting the values

(x1`- x2`) ± z∝/2   √s1²/n1 + s2²/n2

(5.3-4.9 ) ± 1.81 √1.005²/10 +1.76²/10

0.4 ± 1.81 √ 1.010025/10 + 3.0976/10

-0.76,+1.56

The confidence interval for 93% two tailed test is [-0.76,+1.56]

The solution is:

⇒ 6b = 95.94   (equation to determine cost of one box)

cost of one box 'b' = $`15.99

⇒ 12t = 95.94   (equation to determine cost of per tile)

cost of one tile t = $0.7995.

Given :

Jorge bought a crate of floor tiles for $95.94.

The crate had 6 boxes of floor tiles.

Each box contained 20 floor tiles .

To Find :

Write and solve equation to determine the cost per box'b'.

Write and solve a second equation to determine the cost per tile't'

Solution :

Cost of one box = b

There are 6 boxes

So, cost of 6 boxes = $  6b

Since Jorge bought 1 crate( = 6 boxes) of cost $95.94

⇒     (equation to determine cost of one box)

⇒6b = 95.94

⇒b =15.99

Thus cost of one box = $`15.99

Since 1 box 20 floor tiles

So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles

We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94

Cost of one tile = t

Cost of 120 tiles = $120t

⇒ (equation to determine cost of per tile)

⇒12t = 95.94

⇒t = 0.7995.

Thus cost of one tile t = $0.7995.

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Answer:

The first, third, and fourth answer choices represent a function.

Step-by-step explanation:

A relation is a relationship between sets of values. The two quantities that are being related to each other are the input (x-variable) and the output (y-variable). But relations in general aren't always a good way to relate between x and y.

Say that I have situation where I want to give x dollars to the cashier so he can change them to y quarters. Here is a "example" of the relation:

Dollars (x) | Quarters (y)            

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

       0       |          0                      

        1       |          4                      

       2       |          8

       2       |          12

Do you see something wrong here? Yes! We all know that you can't exchange 2 dollars for 12 quarters. You can only exchange 2 dollars for 8 quarters and only 8 quarters. This is a general reason why we don't rely on general relations for real-life situations. One x-variable does not exactly map to one and only one y-variable.

However, a relation that can map one x-variable to one and only one y-variable is known as a function. Let's make the above example an actual function to prove a point:

Dollars (x) | Quarters (y)            

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

       0       |          0                      

        1       |          4                      

       2       |          8

       3       |          12

Now, the 3 dollars make 12 quarters as it should. This is how a function should look like.

There are two ways to check if a relation is a function. On a relation, table, or a set of ordered pairs, you have to make sure there is no "x-variable" that repeats. All x-values of a relation have to be unique in order to be a function. On a graph, you can also perform the Vertical Line Test. If you draw vertical lines over a relation and if the lines cross only once, then it is a function. If not, it fails the Vertical Line Test.

So to answer you're question, the first, third, and fourth choices are functions because they all have unique x-variables. The second choice is not a function because it fails the Vertical Line Test.

Answer:

9

Step-by-step explanation:

8x - 4x = 36

4x = 36

x = 36/4 = 9

Answer:

9

Step-by-step explanation:

8n-4n=36

n=9

8(9)-4(9)=36

Answer:

3.24

Step-by-step explanation:

Answer:

B. 3.24 minutes

A sample of 20 employees. Difference between men and women of 0.01 significance level. Yes, there is a sallary difference between men and women and The sallary difference is equals to 4345.7514.

Sample data of employees relating annual salary to years of education and gender. We have sample size , n = 20

Significance level, = 0.01

We have to calculate a salary difference between men and women of 0.01 significance level. From the above table,

Standard error for female = 1099.2318

p-Value for Female = 0.0010

Yes, there is a salary difference between men and women and because p - value 0.001 for Female coefficient is less than alpha value , 0.01 . Hence, difference in salaries of employees is 4345.751

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Complete question:

Suppose the following table was generated from the sample data of 20 employees relating annual salary to years of education and gender. According to the results, is there a salary difference between men and women at the 0.01 level of significance? If yes, write the difference in salary in the space provided, rounded to two decimal places. Selecting radio button will replace the entered answer value(s) with the radio button value: If the radio button is not selected the entered answer is used. Else, select "There is not enough evidence." Coefficients Standard Error t Stat P-Value Intercept - 3800.705649 3520.137860 – 1.079704 0.295355 Education 3316.309784 201.397495 16.466490 0.000000 Female (1 if female, 0 if male) 4345.751452 1099.231883 3.953444 0.001026

Answer:

Step-by-step explanation:

Solve the System of Equations

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−1,7)

Equation Form:

x=−1,y=7

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

The answer is 32

Step-by-step explanation:

The formula for finding the area of a trapezoid is:

         ((base 1 + base 2)/ 2 )* h

Now all you have to do is substitute the numbers in.

Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.

Answer:

32 square units

Step-by-step explanation:

\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)

Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.

Answer:

the mistake is x and y x is 6 and y is 4 so it would be 5x6 and 4^2 divide by 2

Step-by-step explanation:

the right one is 5x-y^2 divide 2

                           5x6-4^2 divide 2

                            5x6-16 divide 2

                             30-8

                                 22

Answer:

The range of the function f(x)= (x-4)(x-2) is all real numbers greater than or equal to -1

Step-by-step explanation:

Answer:

B: Divide by -2

Step-by-step explanation:

The only logical conclusion would be divide by -2, though that may not be the entire correct answer. Why?

Firstly, the sequence of 8, -4, 2, -1 only follows division by -2. Division by 2 would result in 8, 4, 2 and 1, multiplication by -2 would result in 8, -16, 32, -64, and multiplication by 2 would result in 8, 16, 32 and 64. Hence, the only logical conclusion would be division by -2.

However, this rule breaks down as we go into the fractions. -1 / -2 is 1/2, sure, but (1/2) / -2 should be - 1/4, and not 1/4. Hence, as we go into the fractions, the rule should have changed to division by 2 instead.

The only solution to unite the whole sequence would be to correct 1/4 to -1/4, and maybe OP should check whether that is the case.

Hope this helped!

Answer:

b. divided by -2

Step-by-step explanation:

Answer: The most expensive one would probably be the safest to drink (Fiji water, Aquafina)

Answer:

5.22

Step-by-step explanation:

Answer:

its easy, just subtract 50 - 38 = 22 so its $5.60

(your welcome and math makes me notalisgica :) )

Step-by-step explanation:

Answer:

d)6.00

d)3.00

Step-by-step explanation:

We are given that

n=4 scores

\(S^2_1=68\)

\(S^2_2=76\)

We have to find the  difference should be expected, on average, between the two sample means.

\(S_{M_1-M_2}=\sqrt{\frac{S^2_1}{n_1}+\frac{S^2_2}{n_2}}\)

\(n_1=n_2=4\)

Using the formula

\(S_{M_1-M_2}=\sqrt{\frac{68}{4}+\frac{76}{4}}\)

\(S_{M_1-M_2}=\sqrt{\frac{68+76}{4}}\)

\(S_{M_1-M_2}=\sqrt{36}=6\)

Option d is correct.

Now, replace n by 16

\(n_1=n_2=16\)

\(S_{M_1-M_2}=\sqrt{\frac{68}{16}+\frac{76}{16}}\)

\(S_{M_1-M_2}=\sqrt{\frac{68+76}{16}}\)

\(S_{M_1-M_2}=\sqrt{9}=3\)

Option d is correct.

Answer:

1

Step-by-step explanation:

The probability of an event occurring is the ratio of the possible outcome to the total outcome. In this case, 15 friends were chosen and the choices are either  strawberry or vanilla.

Since there are no other flavors, a friend picked at random will either pick strawberry or vanilla.

Therefore probability that this friend's favorite flavor is either strawberry or vanilla is 1.

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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