James wants to cook a turkey for Christmas. He uses the formula below to calculate how long to cook it for. Cooking time (minutes) = Weight (kg) x 30 + 90 Calculate how long James will need to cook a 6kg turkey​

The prove of expression is shown below.

Now, It is given that;

P = aˣ , q = \(a^{y}\) and a⁴ = \((p^4^y q^4^x)^z\)

And, we have to prove that xyz = 1/2.

Hence, We can simplify as;

Since, here a⁴ = \((p^4^y q^4^x)^z\)

⇒ a⁴ = \([(a^x)^{4y} . (a^y)^4^x ]^z\)

⇒a⁴ = \([a^{4xy} . a^{4xy} ]^z\)

⇒a⁴ = \([a^{4xy + 4xy} ]^z\)

⇒a⁴ = \((a^{8xy} )^{z}\)

⇒a⁴ = \(a^{8xy} ^{z}\)

⇒ 4 = 8xyz

⇒ xyz = 1/2

Thus, It can prove as shown.

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Question is,

If p = a^x, q = a^y and a^4 = (p^4y.q^4x)^z prove that xyz =1/2​

The expression xyz = 1/2 is proved.

The given exponential expressions are,

\(p = a^{x}\)

\(q = a^{y}\)

And \(a^{4} = (p^{4y} q^{4x}) ^{z}\)

Now proceed the third expression,

\(a^{4} = (p^{4y} q^{4x}) ^{z}\)

⇒\(a^{4} = ((a^{x} )^{4y} (a^{y} )^{4x}) ^{z}\)

⇒\(a^{4} = (a^{4xy} a^{4xy}) ^{z}\)

⇒\(a^{4} = (a^{8xy}) ^{z}\)

⇒\(a^{4} = a^{8xyz}\)

Now equate the exponents

⇒ 8xyz = 4

⇒   xyz = 1/2

Which was required.

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The complete question is :

If \(p = a^{x}\), \(q = a^{y}\) and  \(a^{4} = (p^{4y} q^{4x}) ^{z}\) then prove that xyz =1/2​.

The solution is x = 2, y = -2 and z =0

The system of equations is given as

x – y - 3z = 4

2x + 3y – 3z = -2

x + 3y – 2z = -4

Start by eliminating y

To do that, we subtract (2) from (3)

x + 3y – 2z = -4 - (2x + 3y – 3z = -2)

This gives

-x + z = -2

Make x the subject in the above equation

x = z + 2

Substitute x = z + 2 in (1) and (2)

z + 2 – y - 3z = 4

z + 2 + 3y – 2z = -4

Solve the equations

-2z - y = 2

-z + 3y = -6

Multiply -z + 3y = -6 by 2

-2z + 6y = -12

Start by eliminating z

Subtract -2z + 6y = -12 from -2z - y = 2

7y = -14

Evaluate

y = -2

Substitute y = -2 in -z + 3y = -6

-z + 3(-2) = -6

Evaluate

-z - 6 = -6

Evaluate

z = 0

Recall that x – y - 3z = 4

So, we have

x + 2 - 3(0) = 4

Evaluate

x = 2

Hence, the values of the variables are x = 2, y = -2 and z =0

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Answer:

33

Step-by-step explanation:

Answer:

1.5 × 10^14 m²

Step-by-step explanation:

71% of the surface is covered with water.

The total surface of the Earth is 100% of the surface.

100% - 71% = 29%

29% of the surface is not covered with water.

29% of 5.1 × 10^14 m² =

= 0.29 × 5.1 × 10^14 m²

= 1.479 × 10^14 m²

= 1.5 × 10^14 m²

Answer:

the dice is not fair

Step-by-step explanation:

The dice is not fair because why would you roll a dice for 120 times

The average of the data values 22.10, 13.45, 25.10, 17.20, 19.10 is 19.39.

This is the average of a set of values, calculated by summing them together and dividing by the number of terms. It is also referred to as the arithmetic mean.

Mean average = Total sum of data values ÷ number of data values

Mean average = Total sum of data values ÷ number of data values

= (22.10 + 13.45 + 25.10 + 17.20 + 19.10) / 5

= 96.95 / 5

= 19.39

Therefore, the average of the data values 22.10, 13.45, 25.10, 17.20, 19.10 is 19.39.

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The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

A = -6 and B = 65

From the question, we are to express the given expression in the form (x + A)^2+B by completing the square

The given expression is

x² -12x + 101

Using the completing the square method

x² -12x + 101

Divide the coefficient of x by 2 and then square it

The coefficient of x is -12

Dividing by 2, we get

-12/2 = -6

Squaring

(-6)²

Now, add and subtract this value from the expression

x² -12x + (-6)² + 101 - (-6)²

Then, we can write that

(x - 6)² + 101 - (-6)²

(x - 6)² + 101 - 36

(x - 6)² + 65

Thus,

The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

By comparison,

A = -6

and

B = 65

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answer is 30 jfjhfghgkf

its 30!!! this was so ez. Also thanks for the fr.ee points

Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

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Es preciso transformar un número mixto en una fracción impropia cuando se requiere calcular la cantidad asociada al número en formato decimal.

En esta pregunta vamos a abordar dos tipos de notación utilizadas entre los números racionales, esto es, números reales de la forma m / n, donde m y n son números enteros y n es distinto de cero.

Tanto los números mixtos como las fracciones impropias son utilizadas para representar números reales mayores que 1, cuyas diferencias se enumeran a continuación:

Es preciso transformar un número mixto en una fracción impropia cuando se requiere calcular la cantidad asociada al número en formato decimal.

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Answer:

Step-by-step explanation:

The key features of a quadratic function are the y-intercept, the axis of symmetry, and the coordinates and nature of the turning point (or vertex)

for opposite: Its reflection and its symmetrical

opposite function or inverse functions are reflections of each other over the line y = x. You find the inverse by switching x and y in the equation.

The numeric value of the function f(x) = 14/[3 + ae^(kx)] at x = 2 is given as follows:

f(2) = 0.172.

The function for this problem is defined as follows:

f(x) = 14/[3 + ae^(kx)]

When x = 0, y = 2, hence we can obtain the coefficient a as follows:

2 = 14/(3 + a)

6 + a = 14

a = 8.

Hence:

f(x) = 14/[3 + 8e^(kx)]

When x = 1, y = 1/2, hence the coefficient k is given as follows:

0.5 = 14/(3 + 8e^k)

1.5 + 4e^k = 14

4e^k = 12.5

e^k = 12.5/4

k = ln(12.5/4)

k = 1.14.

Hence:

f(x) = 14/[3 + 8e^(1.14x)]

Then the numeric value of the function at x = 2 is given as follows:

f(2) = 14/[3 + 8e^(1.14(2))]

f(2) = 0.172.

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Yes, the two problems are congruent by the given information

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

ΔIJH≅ΔKHJ

The three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Yes the two triangles are congruent because both triangles sides are congruent.

Now ΔTNS≅ΔUHS

the hypotenuse and leg in one right triangle are congruent to the hypotenuse and leg in another right triangle, then the two triangles are congruent.

Yes the triangles congruent with the pattern listed in the problem

Hence, Yes the two problems are congruent by the given information

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Answer:

no babe

Step-by-step explanation:

Both representations are equivalent and describe the same function.the function rule for this table is:   f(x) = -1/2 x 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.

To write a function rule for a given array, we need to determine how the values ​​in the output column (y) relate to the values ​​in the input column (x).

Looking at the given data, we notice that the output values ​​decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .

The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values ​​decrease by 1 every time the input values ​​increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.

Therefore, the function rule for this table is:

f(x) = -1/2 x 2

where x is the input value and f(x) is the output value.

Alternatively, we can also represent the function in table entries, for example:

f(0) = 2

f(2) = 1

f(4) = 0

f(6) = -1

Both representations are equivalent and describe the same function.

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9514 1404 393

Answer:

Step-by-step explanation:

1. Input 3 for x and do the arithmetic.

  z(x) = x+1

  z(3) = 3+1 = 4 . . . . . the output is 4

__

2. The expression for n(x) has x in the denominator. The expression will be undefined when the denominator is zero, so x=0 cannot be used.

(a) We have ⌊x⌋ = 5 if 5 ≤ x < 6, and similarly ⌊x/3⌋ = 5 if

5 ≤ x/3 < 6   ==>   15 ≤ x < 18

(b) ⌊x⌋ = -2 if -2 ≤ x < -1, so ⌊x/3⌋ = -2 if

-2 ≤ x/3 < -1   ==>   -6 ≤ x < -3

In general, ⌊x⌋ = n if n ≤ x < n + 1, where n is any integer.

I do not understand what is being asked in (c) and (d), so you'll have to clarify...

Answer:

220

Step-by-step explanation:

Area = length · width

Area = 22 · 10

Area = 220

Note:

Please mark as Brainliest! <3

Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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Answer:

D

Step-by-step explanation:

-2/3 is -.666

-3/5 is -.60

1/2 is .5

and 5/8 is a little more than half since 4/8 is half. so -2/3, -3/5, 1/2, 5/8, or D

Ф {0, [3√3/2(3√3-π)]}

The poster above has good diagrams ; so , I will just go through the calculations .

The region of integration is with in the circle x ^2+y^2=2y but outside the circle   x^2+y^2=1.

I would convert to polar . With polar , we have  x^2+y^2=r^2 ,x=rcosФ and        y=rsinФ
We thus have the first circle becomes x^2+y^2=2y ⇒r^2=2rsinФ Divide through by r,  and you get r=2sinФ(1).  
This is the upper circle in the previous posters diagrams .

The other equation of a circle becomes :
x^2 + y^2 =  1  ⇒ r^2 = 1 ⇒ r =  1   (2)      
These two curves intersect at :
r= 2sinФ =1 ⇒     sinФ=1/2  ⇒Ф= \(\alpha\)/6 or 5\(\pi\)/6    
From the previous poster's diagrams , we can see that there is as much mass on either side of the positive. y axis or
Ф=\(\pi\)/2 axis in polar ; so , the X  coordinate of the center of mass is zero  
X=0 We can also see from his diagrams that the mass and moment of mass is symmetrical about the Ф=\(\pi\)/2
we only need to integrate from Ф=\(\pi\)/6 to Ф=\(\pi\)/2  ( the answers from to are the same and double )
The differential of area in polar coordinates is
d A=rdrdФ  They say the area mass density is inversely proportional to the distance from the origin .

This can be written as : p=k/r. We can thus say the differential of mass is
d M=PDA=

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Answer:

Give me a sec

Step-by-step explanation:

Using the length formula we know that the length of the given arc is 30.144 miles.

In mathematics, an arc is a portion of the boundary of a circle or curve. It is sometimes referred to as an open curve.

The measurement around a circle that determines its edge is called the circumference, often known as the perimeter.

So, the formula to find the length of the arc is:

Length of an Arc = θ × r

Now, insert values and calculate as follows:

Length of an Arc = θ × r

Length of an Arc = 4π/5 × 12

Length of an Arc = 4π/5 × 12

Length of an Arc = 12.56/5 * 12

Length of an Arc = 2.512 * 12

Length of an Arc =  30.144

Therefore, using the length formula we know that the length of the given arc is 30.144 miles.

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Answer:

2.5, which would be 2:30 hours

Step-by-step explanation:

time/distance:

22.5/9 = 2.5

9 x 2.5 = 22.5

so the answer is 2.5

Answer:

2.5 hours

Step-by-step explanation:

\(\sf time \ taken = \dfrac{distance}{speed}\)

Here:

\(\hookrightarrow \sf \dfrac{22.5}{9}\)

\(\hookrightarrow \sf 2.5\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

Answer:

ixtjtxgixgixyixiyxyifyicjgckckhckhcjgckckhckhckhcihciyciyfiyfiyfiyfiyfiyyif

Step-by-step explanation:

ridutd6utsutsursustysysyytshfzyrsyrsyrsyrsutd

Answer:

Step-by-step explanation:

I had this answer

Answer: a=5cm. B=13cm. C=15cm

Step-by-step explanation:

Your welcome

The additional acres that the parks occupy will be 33.75 acres.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, the additional acres that the parks occupy will be:

= (12.5 × 3) - 3.75

= 33.75 acres.

Note that the information is incomplete and the complete information is given below.

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A city is building 3 parks in a new subdivision. Each park will be 1.25 acres. How many total acres will the 3 parks be? 3.75 acres

The city acquired more land next to the subdivision. If it decides to make each park 12.5 acres, how many additional acres would the parks occupy?