Sarah is making a pizza the diameter of the pizza is 8 inches what is the circumference of the pizza using 3.14 rounded to the nearest tenth

Answer:

a) S=-6.512t+176

b) 123.904

c) 13.024

Step-by-step explanation:

A glacier covered about 176 acres in 2006

Rate of shrinking is 3.7% per year.

A. The formula for size S as function of years 't' since 2006

               ⇒ S(t)=179(1-0.037)^t

B. Let us take a model were ice ice lost from the glaciers between 2006 to 2014

            S=179(1-0.037)^8

            S=179(0.963)^8

            S=179×0.74

            S =132.4 acres

C. According to the model above area of glaciers lost between 2006 and 2008 is=113 acreacres

       ⇒S=179(1-0.037)^2

      ⇒S=179(0.963)^2

      ⇒S=179×0.90.93

      ⇒S=166 acres

∴glaciers lost between 2006 and 2008 is=179-166=113 acres.

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To write a number in exponential form, we look at the main number, then see how much is it repeated by.

Our main number is 0.75.

How many times 0.75 is repeating is 5 times.

Therefore, our answer is: \(0.75^5\).

Optional: 0.75 to the power of 5 is: 0.2373046875.

The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:

Between 20 and 30 bags.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.

In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:

Number of bags = Number of treats / Treats per bag.

The values of these parameters are given as follows:

Hence the numeric value of the expression is:

Number of bags = 78/3 = 26.

Which is a number between 20 and 30.

The problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.

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A variable is zero for all primal optimal solutions if and only if its complementary dual variable is positive for some dual optimal solution.

Let x be the primal optimal solution and y be the complementary dual variable. According to the complementary slackness theorem, for all primal optimal solutions, x = 0 if and only if y > 0 for some dual optimal solution.

This can be demonstrated mathematically with the following formula:

x*y = 0

If x = 0, then y*x = 0. Thus, if x = 0, then y > 0 for some dual optimal solution.

Conversely, if y > 0 for some dual optimal solution, then x*y = 0. Therefore, if y > 0, then x = 0 for all primal optimal solutions.

In summary, a variable is zero for all primal optimal solutions if and only if its complementary dual variable is positive for some dual optimal solution.

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Answer:

75%

Step-by-step explanation:

9/12 then multiply by 100 %

Answer:

Not a solution.

Step-by-step explanation:

Substitute x and y co-ordinates in the equation.

     y = 2x + 8

   LHS = y

           = 21

   RHS = 2x + 8

          = 2*6 + 8

          = 12 + 8

          = 20

        LHS ≠ RHS. So, (6,21) is not a solution.

Answer:

<yau

Step-by-step explanation:

the measure of <xaz is 40° so to complete it to 90° we need 50° which is angle <yau

By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Answer:

C. To control both unintentional research bias and participant prior beliefs

Step-by-step explanation:

Double blinding is a type of study where neither the participants nor the researchers know the treatment or intervention that the participants receive until the whole study/research is completed. This is very important because it means that the results gotten from the study have a very slim chance of being biased.

Thus,the correct answer is option C as it includes both the researcher and the participants

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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Answer:

4 inches long and 2 inches wide.

Step-by-step explanation:

20/5 = 4 10/5=2

Answer:

Choice D

Step-by-step explanation:

Reflection over the x axis and then a line reflection over y=1 will give you the second desired triangle.

Answer:

improper fraction form 113/6

mixed number 18 5/6

By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

Answer: B

Step-by-step explanation:

Answer:

13 and 7

Step-by-step explanation:

Using the given information, the weight of the male zebra is 750 pounds

From the question, we are to determine how much the male zebra weighs

Let the weight of the male zebra be m and the weight of the female zebra be f

From the given information,

"The male zebra weighs 5 pounds for every 4 pounds the female zebra weighs"

Then, we can write that

4m = 5f

Also,

"If the male zebra weighs 150 pounds more than the female zebra"

That is,

m = f + 150

From the first equation,

4m = 5f

We can write that

f = (4/5)m

Substitute this into the second equation

m = (4/5)m + 150

Multiply through by 5

5m = 4m + 750

5m - 4m = 750

m = 750 pounds

Hence, the weight is 750 pounds

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The weight of the male zebra is 750 pounds

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

Categories of Zebras = 2

Male zebra weighs 5 pounds for every 4 pounds the female zebra weighs

This means that we  have the following ratio

Male : Female = 5 : 4

Express as a fraction

So, we have the following representation

Male/Female = 5/4

This gives

Male/Female = 1.25

So, we have

Female = Male/1.25

Also from the question, we have:

Male zebra weighs 150 pounds more than the female zebra

This means that

Male = 150 + Female

So, we have

Male = 150 + Male/1.25

Multiply through by 1.25

1.25Male = 187.5 + Male

So, we have

0.25Male = 187.5

Divide both sides by 0.25

Male = 750

Hence, the male zebra weighs 750 pounds

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Answer:

(f - g)(x) = -x - 14

Step-by-step explanation:

Step 1: Plug in equations

4x - 8 - (5x + 6)

Step 2; Distribute negative

4x - 8 - 5x - 6

Step 3: Combine like terms

-x - 14

Answer:

-x-14

Step-by-step explanation:

Hope this helps

Answer:

$110.5

Step-by-step explanation:

48 + 25(2.5)

48 + 62.5

=110.2

Answer:

The answer is 110.5

Step-by-step explanation:

48+25(2.5)=110.5

Answer:

32/40 = 0.8

have a nice day!

Answer:

Saturday

Step-by-step explanation:

I think

Answer: no one cares

Step-by-step explanation:

Answer:

i not know what you need me to help you

Step-by-step explanation:

Answer:

ask the person who poured it how many gallons did they pour

Step-by-step explanation:

ask melanie martineź parents

Answer:

Question 1, it was 4500 gallons of water in the tank

Question 2, it will take 70 minutes to fill the pool with water

Step-by-step explanation:

Question 1 explanation, just multiply 150 times the minutes

ACF is a 30º-60º-90º triangle because of the following:

1) Based on a theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : \(\sqrt{3}\)

1 → short leg

2 → hypotenuse

\(\sqrt{3}\) → long leg

Side length of the hexagon is the short leg of the triangle. It is 1.

r1 is the radius of the incircle in a regular hexagon. 2(r1) is the diameter of the incircle. It is also the hypotenuse of the right triangle. It is 2.

Using Pythagorean theorem.

\(a^2 + b^2 = c^2\)

\(1^2 + b^2 = 2^2\)

\(b^2 = 2^2 - 1^2\)

\(b^2 = 4 - 1\)

\(b^2 = 3\)

\(\sqrt{b^2} = \sqrt{3}\)

\(b = \sqrt{3}\)

Answer:

621

629

Step-by-step explanation:

We know that

sin

(

x

+

y

)

=

sin

x

cos

y

+

sin

y

cos

x

If

cos

x

=

8

17

and

sin

y

=

12

37

We can use,

cos

2

x

+

sin

2

x

=

1

and

cos

2

y

+

sin

2

y

=

1

To calculate

sin

x

and

cos

y

sin

2

x

=

1

−

cos

2

x

=

1

−

(

8

17

)

2

=

225

17

2

sin

x

=

15

17

cos

2

y

=

1

−

sin

2

y

=

1

−

(

12

37

)

2

=

1225

37

2

cos

y

=

35

37

so,

sin

(

x

+

y

)

=

15

17

⋅

35

37

+

12

37

⋅

8

17

=

621

629

Answer link

Shwetank Mauria

Nov 22, 2016

sin

(

x

+

y

)

=

621

629

or

−

429

629

depending on the quadrant in which sine and cosine lie.

Explanation:

Before we commence further, it may be mentioned that as

cos

x

=

8

17

,

x

is in

Q

1

or

Q

4

i.e.

sin

x

could be positive or negative and as

sin

y

=

12

37

,

y

is in

Q

1

or

Q

2

i.e.

cos

y

could be positive or negative.

Hence four combinations for

(

x

+

y

)

are there and for

sin

(

x

+

y

)

=

sin

x

cos

y

+

cos

x

sin

y

, there are four possibilities.

Now as

cos

x

=

8

17

,

sin

x

=

√

1

−

(

8

17

)

2

=

√

1

−

64

289

=

√

225

289

=

±

15

17

and

as

sin

y

=

12

37

,

cos

y

=

√

1

−

(

12

37

)

2

=

√

1

−

144

1369

=

√

1225

1369

=

±

35

37

Hence,

(1) when

x

and

y

are in

Q

1

sin

(

x

+

y

)

=

15

17

×

35

37

+

8

17

×

12

37

=

525

+

96

629

=

621

629

(2) when

x

is in

Q

1

and

y

is in

Q

2

sin

(

x

+

y

)

=

15

17

×

−

35

37

+

8

17

×

12

37

=

−

525

+

96

629

=

−

429

629

(3) when

x

is in

Q

4

and

y

is in

Q

2

sin

(

x

+

y

)

=

−

15

17

×

−

35

37

+

8

17

×

12

37

=

525

+

96

629

=

621

629

(4) when

x

is in

Q

4

and

y

is in

Q

1

sin

(

x

+

y

)

=

−

15

17

×

35

37

+

8

17

×

12

37

=

−

525

+

96

629

=

−

429

629

Hence,

sin

(

x

+

y

)

=

621

629

or

−

429

629

Answer:

Number 7

Step-by-step explanation:

to check we have the right answer, we can insert our value into the equation we formed and see if the equation equals to 16. So, inserting 7 into 3x-5 = (3x7)-5 = 21-5 = 16. Since the equation does equal to 16, we know that 7 is the correct answer to this question.

Answer:10/3

Step-by-step explanation:3x-5=5

                                          3x=5+5

                                           3x=10

                                           3x/3=10/3

                                           x=10/3

201.06

Step-by-step explanation:

pie which is 3.14^2 = 3.14 x 8^2 = 201.06193 but

201.06 is right