The square in the figure has two sides tangent to the circle. If area of the circle is 9a^2pi^2, find the area of the square. (A=6, pi=3.14, please estimate the answer two places after decimal)

Answer:

no solution

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer:

84x

Step-by-step explanation:

Option D is the correct synthetic division of (x^2-4x+7) divided by (x-2)

Synthetic division is a shorthand procedure used to divide a polynomial by a linear factor of (x - a) form, in which "a" is constant. This method gives an expedient way to locate the quotient and remainder without carrying out long division.

x - 2 | x^2 - 4x + 7

            x^2 - 2x

           ---------

                 -2x + 7

                 -2x + 4

                 -------

                        3

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There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer:

12 prob

Step-by-step explanation:

The value of the variable 'w' for the given equation 7 ( w + 7 )³ = 7(6³)  is equal to w = -1.

As given in the question,

Given equation is equal to :

7 ( w + 7 )³ = 7(6³)

Divide both the side of the equation by 7 we get,

⇒ 7 ( w + 7 )³ / 7 = 7(6³) /7

⇒( w + 7 )³ = (6³)  

Take cube root both the side of the equation we get,

⇒∛( w + 7 )³ = ∛(6³)  

⇒ w + 7 = 6

Now subtract 7 from both the side of the equation we get,

⇒w + 7 - 7 = 6 - 7

⇒ w = -1

Therefore, the value of the variable 'w' for the given equation is equal to w = -1.

The complete question is:

Solve this equation:

7 ( w + 7 )³ = 7(6³)

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\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)

Answer:

D. $2304.70

Step-by-step explanation:

a typical 2000 square foot house may cost anything from $200000 to $300000

Step-by-step explanation:

How much of a premium do you pay for a steel house worth $190,000 with $49,000 worth of content in a suburban area?

B. $1372.70

The two polynomials whose difference is 2x^2 + x + 4 are

6x² + 3x + 5 and 4x² + 2x + 1.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

The difference between the two polynomials is 2x² + x + 4.

The two polynomials are:

6x² + 3x + 5 _____(1)

4x² + 2x + 1 ______(2)

The difference between (1) and (2)

6x² + 3x + 5 - 4x² - 2x - 1

2x² + x + 4

Thus,

The two polynomials are 6x² + 3x + 5 and 4x² + 2x + 1.

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Answer: 50% decrease

Step-by-step explanation:

50% of 310 = 155

310-155=155

50% decrease :)

ANSWER: 50% decrease

SOLUTION:

50% of 310 = 155

310-155=155

So in all the answer is.......

50% decrease  :)))))

-XOXOXO:)

The annual percentage yield (APY) of Rocio is 3.11 %

What is Annual Percentage Yield?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.

Given data ,

Deposit amount of Russ = $ 3200

Interest rate R = 3.1 %

And it is given that the interest rate is compounded daily , so

Interest rate R = 3.1 % / 365

                       = 0.031 / 365

                       = 0.000084

Now , The annual percentage yield (APY) is calculated as

The interest amount = 3200 x ( 1 + 0.000084 )³⁶⁵

                                 = 3200 x ( 1.000084 )³⁶⁵

                                 = 3200 x 1.031133

                                 = 3299.6272

                                 ≈ 3299.627

Therefore , the interest will be

= 3299.627 - 3200

= $ 99.627

Now , the annual percentage yield (APY) is given by

= Interest / Deposit

= 99.627 / 3200

= 0.03113

≈ 3.11 %

Hence , annual percentage yield (APY) of Rocio is 3.11 %

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Answer:

The answer to the multipliers that will create opposite terms of the y-variable for this system have been determined. Use the equivalent system of equations to solve the system. is (3, -24)

Step-by-step explanation:

Answer:

3 -24

Step-by-step explanation:

got it right

Answer:

the first and second M is undefined because we have no information to make an equation

Answer:

14

Step-by-step explanation:

(3)^2 + 4(3) - 7

9 + 12 - 7

21 - 7

14

The equation of the graph is y = 3x + 7

The equation of a line is composed of;

The formula for the equation of line is written this;

y = m x + c

Where;

From the graph shown, we can see that the intercept on y is 7, thus, c = 7

The formula for slope is given as;

m = y2 - y1/x2 - x1

m = 7 - 1/ 2 - 0

m = 6/2

m = 3

The slope of the graph is 3

Now, let's substitute into the equation for the line

y = 3x + 7

Thus, the equation of the line is y = 3x + 7

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Answer:

Their average velocity during their trip was 59.19 miles per hour.

Step-by-step explanation:

To calculate the average velocity of the family's trip, we divide the total distance traveled by the time it took to travel that distance:

Average velocity = total distance ÷ time

In this case, the total distance traveled is 509 miles and the time it took to travel that distance is 8.6 hours. So, we can plug these values into the formula:

Average velocity = 509 miles ÷ 8.6 hours

Simplifying this equation, we get:

Average velocity = 59.19 miles per hour (rounded to two decimal places)

Therefore, the family's average velocity during their trip was 59.19 miles per hour.

Answer:

y = 102*x

Step-by-step explanation:

y=a*x

x: distance

y: calories

816=a*8

a= 816/8= 102

Answer:

12x + 3y + 9

Step-by-step explanation:

Im not sure if you can add constants to variables so here is my simplified expression.

9514 1404 393

Answer:

Step-by-step explanation:

For a pair of numbers, I find it convenient to think in terms of factors unique to the number, and factors shared with the other number.

Consider the numbers 21 and 51, for example.

  21 = 3·7

  51 = 3·17

The factor 3 is shared by both numbers. The factors 7 and 17 are unique to one number or the other.

If we group these factors like this ...

  (factors unique to 1 [ shared factors ) factors unique to 2]

  = (7 [3 ) 17]

The numbers in ( ) parentheses are the factors of 21, and the numbers in [ ] brackets are the factors of 51.

The LCM (least common multiple) is the product of the factors in those brackets:

  LCM(21, 51) = 7 × 3 × 17 = 357

__

The unique factors of the numbers don't have to be prime (as in the above example); they just cannot be shared. Here's another example for the numbers 42 and 90

  (7 [ 3·2 ) 3·5 ] = (7 [ 6 ) 15] . . . . factors of (42) and [90]

Then the LCM is ...

  LCM(42, 90) = 7 × 6 × 15 = 630

_____

Additional comment

What we have called "shared factors" here is the same as the "greatest common divisor"(GCD) or "greatest common factor" (GCF).

If we divide our little diagram so it shows the product of the two numbers:

  (42)[90] = (7×6)·[6×15]

we can see that the LCM is the quotient of the product and the GCD.

  LCM(A, B) = A·B/GCD(A, B)

This is an occasionally handy relationship, as it is not difficult to find the GCD of a pair of numbers using Euclid's algorithm.

Answer: -4

Step-by-step explanation:

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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The equation that models the zombie population is the one in option D.

\(y = 50*(2)^{x/4}\)

We know that the zombie population will be described by an exponential equation, these are of the form:

\(y = A*(b)^{kx}\)

Where A is the initial population, in this case we know that:

A = 50

b is the rate of growth, we know that the population is doubled every 4 days, so:

b = 2

And k is a factor that is defined by in how many days the population is doubled, here we know that the population is doubled every 4 days, then k = 1/4

And the population equation is.

\(y = 50*(2)^{x/4}\)

So the correct option is D.

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the answer for this question is  i don't know

So , bye

(a) This differential equation can be written in the form (*) with P(x) = 1, Q(x) = 2x, and n = 2.

(b) The substitution u = 1/y will transform it into the linear equation Du/dx +  0u = -2x

(c)Using the substitution in part (b), we rewrite the initial condition in part  u(1) = 1/y(1) = 1/4.

(d) the linear equation in part (b) is y = 1/(C - x) and  the solution that satisfies the initial condition in part (c) U(x) = -y⁻¹ = -x + C,

(e) Finally, solve for y(x) = 1/(1/4 + 1 - x) = 4/(5 - x).

What is  Bernoulli differential equation?

A Bernoulli differential equation is a type of non-linear ordinary differential equation of the form:

dy/dx + P(x)y = Q(x)yⁿ

where P(x) and Q(x) are functions of x and n is a constant. The equation is named after the Swiss mathematician Jakob Bernoulli.

These types of differential equations are important in various fields of science, such as physics, engineering, and economics. They are non-linear, meaning that the dependent variable y appears in both linear and non-linear terms, making them difficult to solve in general.

a) This differential equation can be written in the form (*) with P(x) = x, Q(x) = 2x, and n = 2.

b) The substitution u = y⁻¹ will transform it into the linear equation du/dx - xu = -2x.

c) Using the substitution in part (b), we rewrite the initial condition as u(1) = 1/4.

d) Now we solve the linear equation in part (b). The characteristic equation is given by d/dx(e\(\mathrm{(\int -xdx))}\) = -xe\(\mathrm{(\int -xdx))}\) which has the general solution u(x) = Ce\((-x^2/2)\).

Using the initial condition, we find C = 1/4, so u(x) = 1/4e\((-x^2/2)\).

e) Finally, we solve for y. From u = y⁻¹, we have y = 1/u = 4e\((-x^2/2)\).

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The HCF of 560 and 729 is 1.

To find the HCF of 560 and 729, we use the Euclidean algorithm as follows;HCF of 560 and 729:Step 1: Divide the larger number by the smaller number, then find the remainder.729 ÷ 560 = 169 remainder 169Step 2: Divide the smaller number (i.e., 560) by the remainder (i.e., 169).560 ÷ 169 = 3 remainder 53.

Step 3: Divide the remainder from step 1 (i.e., 169) by the remainder from step 2 (i.e., 53).169 ÷ 53 = 3 remainder 10Step 4: Divide the remainder from step 2 (i.e., 53) by the remainder from step 3 (i.e., 10).53 ÷ 10 = 5 remainder 3Step 5: Divide the remainder from step 3 (i.e., 10) by the remainder from step 4 (i.e., 3).10 ÷ 3 = 3 remainder 1.

Step 6: Divide the remainder from step 4 (i.e., 3) by the remainder from step 5 (i.e., 1).3 ÷ 1 = 3 remainder 0The HCF of 560 and 729 is the last non-zero remainder, which is 1.

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Answer:

the surface area of the triangular pyramid is 227.6 square inches.

Step-by-step explanation:

To find the surface area of the triangular pyramid, we need to calculate the area of the triangular base and the area of each triangular face, and then add them together.

The area of the triangular base can be found using the formula:

Base Area = (1/2) x Base Edge Length x Apothem

Substituting the given values, we get:

Base Area = (1/2) x 8 x 6.9 = 27.6 square inches

To find the area of each triangular face, we can use the formula:

Face Area = (1/2) x Base Edge Length x Slant Height

Substituting the given values, we get:

Face Area = (1/2) x 8 x 14 = 56 square inches

Since the triangular pyramid has 4 faces, we need to multiply the area of each face by 4 to get the total surface area. Therefore, the surface area of the triangular pyramid is:

Total Surface Area = 4 x Face Area + Base Area

= 4 x 56 + 27.6

= 227.6 square inches

So the surface area of the triangular pyramid is 227.6 square inches.

Answer:

1. Find the GCF:

16 y | 5

1

2. Write the GCF: 1

3. Rewrite expression factor out the GCF: 16y + 5

4. Write the final factored expression: 16y + 5

Explanation:

The initial expression is:

16y + 5

So, we have two terms: 16y and 5

The factors of these terms are:

16y: 1, 2, 4, 16, y, 2y, 4y, 16y

5: 1, 5

So, the greatest common factor is 1

Then, the expression factor out the GCF is:

Therefore, the final factored expression is:

1*(16y + 5) = 16y + 5