A circle is centered at (11, -9) and has a radius of 12.
What is the equation of the circle?
Enter the equation using lowercase variables x and y in the box.

1. The jackrabbit runs at a constant rate, as the rate between the output and the input for each point on the table is constant.

2. The squirrel runs at a constant rate, as the graph is that of a linear function with a constant slope.

3. The rate of the jackrabbit is of 44 miles per hour.

4. The rate of the squirrel is of 11 miles per hour.

5. A.

B. The jackrabbit ran the fastest.

6. In three hours, the fastest animal will have run 99 miles further than the slowest animal.

7. The point (0,0) means that all the animals, the jackrabbit, the gray fox and the squirrel start from the origin.

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

The rates for the jackrabbit are given as follows:

k = 22/0.5 = 44/1 = 44 miles per hour.

This is also equals to k = 0/0, which can assume any value, and the point (0,0) means that all the animals, the jackrabbit, the gray fox and the squirrel start from the origin.

The rate for the squirrel is given as follows:

k = 11/1 = 11 miles per hour.

(as the graph passes through point (1, 11)).

The difference between the rates of the fastest and of the slowest animal is given as follows:

44 - 11 = 33 miles per hour.

Hence in three hours, the distance is given as follows:

3 x 33 = 99 miles.

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Answer:

f(3) = 10

Step-by-step explanation:

given f(x) = 12/x + 6,

we want to find f(3)

to do so we plug in x = 3

so,

==> f(3) = 12/3 + 6

==> f(3) = 4 + 6

==> f(3) = 10

Answer:

2.4

Step-by-step explanation:

12 divided by 5

In order to get it

Answer:

2.4 lbs

also 2lbs 6oz (rounded to the nearest ounce)

Step-by-step explanation:

We are comparing pounds of blueberries to pies.



pounds/pies

= 12pounds/5pies

= 12/5

= 2.4 pounds per pie

Mary used 2.4lbs of blueberries in each pie.

If you need to know the ounces, the .4 part of the 2.4 answer is the ounces. (2 is pounds, .4 is parts of a pound)

There are 16 ounces in a pound.

.4 × 16

= 6.4

2.4 pounds is 2pounds6ounces (rounded to the nearest ounce)

Answer:

5x+3y=10

subtract both sides by 5x

divide everything by 3

y= -5/3x +10/3

hopes this helps

The graph of the parabola is drawn below. And all the intersection points are shown in the diagram.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation is given below.

y = -4(x - 5)² + 125

Where y is the height of the rocket and x is the number of seconds since launch.

The vertex of the parabola is at (5, 125).

The graph of the parabola is drawn below. And all the intersection points are shown in the diagram.

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It would take 23.45 years to double the investment of  £100 with a compound interest rate of 3% to £200.

Using the formula A = P(1 + r)^t

Initial amount of investment, P = 100

Final amount(double the investment), A = (2 x 100) = 200

Interest rate, r = 3% = 0.03

Number of years, t = ?

A = P(1 + r)^t

200 = 100 (1 + 0.03)^t = 100(1.03)^t

Divide both sides by 100

200/100 = 100(1.03)^t/100

2 = (1.03)^t

In2 = t In(1.03)

t = In2/In(1.03)

t = 23.45 years

The amount of time it would take to make £200 from £100 is 23.45 years at a compound rate of 3% using the rule of 72 and the simple interest formula.

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Step-by-step explanation:

you did not say what needs to be done.

simplify ?

sqrt(12/b²)

12 = 4×3

4 is a square number (2² = 4).

3 is not.

b² is per definition a square "number".

in a multiplication or division we can apply the square root (or any root) individually to the different factors involved.

so,

sqrt(12/b²) = sqrt(12)/sqrt(b²) = sqrt(4×3)/b =

= 2×sqrt(3)/b

FYI - about your question : if somebody does not know (how to get) the answer, he/she will also not be able to doubtlessly determine, if a specific answer is right ...

Answer:

8.5440037453175 or 8.5 since the directions say to round, if necessary. Please let me know if you have any questions about this! Also, please mark brainliest! Thanks so much and have a blessed day!

Answer:

8.5

Step-by-step explanation:

Answer in the diagram

Answer:

Step-by-step explanation:

144 días

Answer:

(0, - 3 )

Step-by-step explanation:

Any point on the y- axis has an x- coordinate of zero

the only point with an x- coordinate of zero is (0, - 3 )

Answer:
$33.64

If this help please set brainliest.

Step-by-step explanation:

The total cost of all the items before the discount is $42.05. The discount Joseph receives is 20% of this amount, so the discount he receives is $42.05 * 20% = $8.41.

The total cost after the discount is applied is $42.05 - $8.41 = $33.64. This is the total cost in dollars and cents, before tax, rounded to the nearest cent.

3x√5 and 3(³√5x) are like radicals because they both have the same radicand (the number or expression inside the radical symbol) of 5 and the same index (the number that indicates the root being taken) of 3. The only difference is the coefficient (the number multiplying the radical) of 3 in front of the radical symbol, which is a factor that does not affect the radical itself.

x(³√5) and y √√5 are not like radicals to 3x√5 because they have different radicands.

√5y is not a like radical to 3x√5 because it has a different index.

You are responsible for paying the interest while you are in school because a direct unsubsidized loan does not cover it.

The Federal Direct Loan Program through William D. Ford offers "loans with low interest rates that parents and students can use to help cover the expense of a student's post-high school education. A bank or other financial institution is not the lender; rather, it is the U.S. Department of Education."

The U.S. Department of Education issues federal direct loans, which are loans for students. In most cases, if you obtained a federal student loan or consolidated your debt on or after July 1, 2010, you have a federal Direct Loan.

Federal and private loans are the two main categories of student loans. Federal government funding is used to support federal parent and student loans. Private student loans are made by lenders such as banks, credit unions, state agencies, or educational institutions and are not provided by the federal government.

Therefore, the correct answer is option a) A direct unsubsidized loan will not cover interest while you are in school, and you are responsible for paying the interest while you are in school.

The complete question is:

Which of the following statements are true when considered direct student loans (Stafford Loans)?

A direct subsidized loan requires you start paying interest immediately while you are in school.

A direct subsidized loan will cover the interest on the loan while you are in school.

A direct unsubsidized loan will not require interest be paid until you graduate or leave the school.

A direct unsubsidized loan will not cover interest while you are in school, and you are responsible for paying the interest while you are in school.

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For shape A the area to volume ratio is 101: 66

For shape B the area to volume ratio is 197117.7 : 207034

For shape C the area to volume ratio is 202.71 : 529.2

The area is the amount of space occupied by a two-dimensional flat object in a plane. Volume is defined as the space occupied by a three-dimensional object. The unit of area is in square units. The unit of volume is in cubic units.

For shape A, the area = 2(lh+lb+bh)

= 2( 2×12+12×5.5+5.5×2)

= 2 ( 24+ 66+ 11)

= 2 ( 101)

= 202m²

The volume of shape A = l×b×h = 2× 12× 5.5 = 132m³.

Therefore the ratio of area to volume of shape A = 202:132 = 101: 66

For shape B

The area of the cylinder = 2πr(r+h)

= 2×3.14× 28( 28+84.1)

= 197117.7m²

The volume of the cylinder =πr²h = 3.14×28²×84.1

= 207034

Therefore the ratio of area to volume = 197117.7 : 207034

in the third shape

The area = ½bh×2 + lb+lh+bh

=6.8×7.5+ 7.2×6.8+ 7.2×7.5+ 7.5×6.8

= 48.75+48.96+54+51 = 202.71

The volume of the shape= base area × height

= 7.2×6.8×7.5

= 529.2m⅗

Thereore the area to volume ratio is 202.71:529.2

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On solving the provided question, we can say that - by the help of unitary method we have total cost is 4.74* 13 + 3.25 = $64.87

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

he bought =  $51.25 worth of candies and pretzels

ach candy costs  = $4.75 and each pretzel costs  = $3.25.

total cost is 4.74* 13 + 3.25 = $64.87

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The perimeter of nonagon in units is 24.28 units.

The perimeter is comprised of 9 segments of length 2 plus the circumference of a circle with a radius of 1  [each curved part of S is 1/9 of this circumference and there are 9 of them ]

The perimeter  = 9*2  + 2pi (1)   =  18 + 2pi ≈  24.28 units

Calculate the perimeter of many forms by summing the lengths of their sides. Since there are two of each side length, the perimeter is calculated by simply adding the length and width and multiplying the result by two. The formula for perimeter is perimeter=(length+width)2.

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Answer:

$1520

Step-by-step explanation:

The total amount of money in the savings account after W weeks is equal to the initial amount of money, $750, plus the amount of money added each week for W weeks. We can represent this relationship with the following equation:

S = 750 + 70W

To find the total amount of money in the savings account after 11 weeks, we can substitute 11 for W in the equation above:

S = 750 + 70(11)

= 750 + 770

= 1520

Therefore, the total amount of money in the savings account after 11 weeks is $1520.

Answer:

$1520

Step-by-step explanation:

S = $750 + $70W

S = $750 + $70(11) = $1520

The expression can be combined as  [2x - xy - x²] / [y²-x²]

An expression is the collection of numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given: 2x/(y²-x²) - x/(y-x)

2x/(y²-x²) + x/(y-x) = 2x/(y-x)(y+x) - x/(y-x)

The LCM of (y-x)(y+x) and (y-x) is (y-x)(y+x)

                             = 2x/(y-x)(y+x) - x/(y-x)

                             = [2x - x(y+x)] / [(y-x)(y+x)]

                             = [2x - xy - x²] / [(y-x)(y+x)]

                             = [2x - xy - x²] / [y²-x²]

Note:  y²- x² = (y-x)(y+x)

Thus, the expression can be combined as  [2x - xy - x²] / [y²-x²]

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The statements are always true regarding the diagram, as follows:

1.  m∠5 + m∠6 = 180°

2. ∠ 2+ ∠ 3 = ∠ 6

3. m∠2 + m∠3 + m∠5 = 180°

An interior angle is defined as an angle produced on the inside of a polygon by extending the sides of the polygon.

Consider Δ ABC with Exterior angles as

∠ 1 , ∠ 4 , and ∠ 6

For Exterior ∠ 1 we have

∠ 1 = ∠ 5 + ∠ 3

This true due to Exterior angle Property of Triangle

Similarly,

For Exterior ∠ 4 we have

∠ 4 = ∠ 5 + ∠ 2.

This true due to the Exterior angle Property of the Triangle

Similarly,

For Exterior ∠ 6 we have

∠ 6 = ∠ 2 + ∠ 3

In a triangle sum of the measures of angles is equal to 180°

∴ m∠2 + m∠3 + m∠5 = 180°

This is true due to Triangle Sum Property

A straight angle has a measurement of 180 degrees, hence a linear pair of angles must sum up to 180 degrees.

∴ m∠5 + m∠6 = 180°

This true due to the Linear Pair.

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Peter will need approximately 169169 centimetres of red ribbon to make the "x" on his flag. Rounded to the nearest centimetre, this is 169200 centimetres.

To find the length of the red ribbon needed to make the "x" on the flag, we need to find the length of the diagonal of the square. The diagonal of a square is a line segment that connects two opposite corners of the square and passes through the centre of the square.

The diagonal of a square can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In the case of a square, the two shorter sides of the right triangle are equal in length to the sides of the square, so the Pythagorean theorem can be written as:

[tex]a^2 + a^2 = c^2[/tex]

Where "a" is the length of a side of the square and "c" is the length of the diagonal.

To find the length of the diagonal of Peter's flag, we can substitute 121212 for "a" in the equation above:

[tex](121212)^2 + (121212)^2 = c^2[/tex]

Solving for "c" gives us:

c = 169169 centimetres

Therefore, Peter will need approximately 169169 centimetres of red ribbon to make the "x" on his flag. Rounded to the nearest centimetre, this is 169200 centimetres.

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The value of 8dm to 3.2 dm as a fraction is 2 1/2.

It is important to note that a fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

8dm to 3.2 dm as a fraction will be simply be gotten by dividing the values that are given in the question.

In this case, this will be Illustrated as:

= 8 / 3.2

= 80 / 32

= 5 / 2

= 2 1/2

Therefore, the fraction is 2 1/2.

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The logarithmic expression [tex]\log {750}[/tex]  is the lograrithm with base 10 of 750 and it's value is approximately equal to 2.8751


Logarithms are expressed mathematically as [tex]\log_{x}b=y[/tex] where [tex]x[/tex] denotes the base of the logarithm, [tex]b[/tex] denotes a number and [tex]y[/tex] denotes the exponent. The above expression can also be written as [tex]x^{y}=b[/tex]
We will be using two logarithmic properties in this question:

The first one is, [tex]log(mn) = logm + logn[/tex]

And the second one is, [tex]log(m^{n}) = n*logm[/tex]

Whenever the base in the question is not shown then it is assumed to be 10 in mathematics.

∵ This is a base 10 logarithm, we must determine a value of [tex]y[/tex] for expression [tex]10^{y} = 750[/tex]
Since there is no other value of log given we have to use the calculator.

If the value of [tex]log_{}3[/tex] and [tex]log5[/tex] is given then we can solve the question:

[tex]log750 = log_{10} 750[/tex]

⇒[tex]log_{10}(3*5^{2} * 10)[/tex]  

⇒[tex]log 3 + 2log 5 + log 10[/tex]

⇒[tex](0.47712) + 2(0.69897) + 1[/tex]

⇒[tex](0.47712) + (1.39794) + 1[/tex]

≈ [tex]2.8751[/tex]

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The solution for each operation, involving multiplication of fractions, is given as follows:

1. 2 x 5/8 = 10/8. (option d).

2. 9 x 2/3 = 18/3. (option d).

3. 5 x 3/4 = 15/4. (option c).

A fraction has the notation given as follows:

Fraction = x/y.

In which the technical terms of each term are given as follows:

To multiply two fractions, we simply multiply the numerators among themselves, and the denominators among themselves, and then the product of the fractions is given by the multiplication of the numerators divided by the multiplication of the denominators.

For example:

2 x 5/8 = (2 x 5)/(1 x 8) = 10/8.

(as an integer term can be represented by a fraction with denominator one).

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The value of 3/4 + 1/2 is 5/4, 1/2 x 1/2 =1/4 and Midpoint of a segment with the endpoints (12,-8) and (8,-4) is (10, -6

A fraction represents a part of a whole.

We have to find the value of 3/4 + 1/2

LC of 4 and 2 is 4

(3+2)/4

3/4 + 1/2 =5/4

1/2 x 1/2 =1/4

Midpoint of a segment with the endpoints: (12,-8) and (8,-4).

Midpoint=(12+8/2, -8-4/2)

=(10, -6)

Hence, the value of 3/4 + 1/2 is 5/4, 1/2 x 1/2 =1/4 and Midpoint of a segment with the endpoints (12,-8) and (8,-4) is (10, -6)

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The graph of the equation of g(x) is steeper than the graph of f(x) and has a lower y-intercept.

The ratio of how much y grows as x grows by a certain amount is called the slope of a line. A line's slope, or the amount by which y rises as x rises, indicates how steep a line is.

Given that the equation of f(x) and g(x) are as follows:

[tex]f(x) = \frac{1}{4} x -1\\\\g(x) = \frac{1}{2} x -2[/tex]

Using the slope-intercept form [tex]y=mx+C[/tex], and comparing with the equations we have:

Here, m is the slope and C is the y-intercept.

Slope of f(x) = [tex]\frac{1}{4}[/tex]

Slope of g(x) = [tex]\frac{1}{2}[/tex]

y-intercept of f(x) = -1

y-intercept of g(x) = -2

The slope of g(x) is greater than the slope of f(x), also, the y-intercept of g(x) is less than the y-intercept of f(x).

Hence, the slope of g(x) is steeper than f(x) and has a lower y-intercept.

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Answer: If a sphere and a cube have the same volume then the ratio of the surface of the sphere to that of the cube is 6: π

The solution of (1/3x) -6 = -7 will be -1 / 3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (1/3x) -6 = -7. The expression will be solved as below:-

(1/3x) -6 = -7

1 / 3x = -7 + 6

1 / 3x = -1

x = -1 / 3

Hence, the solution of the expression for the value of x will be -1 / 3.

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The factored form of the expression [tex]3x+24y[/tex] can be written by using  distributive Property as [tex]3(x+8y)[/tex] .

The expression is given as : [tex]3x+24y[/tex] ;

we have to write the factored form this expression ;

we use the distributive property , to write the factored form ,

the distributive property ⇒ states that for any three numbers the condition [tex]a(b+c) = ab+ac[/tex] is satisfied;

the first term of the expression is 3x ,

the second term of the expression is 24y , which can be written as [tex]3\times 8y[/tex] ;

In the first and second term , we can see that 3 is the common factor in both the terms ,

Therefore , the factored form can be written as [tex]3(x+8y)[/tex] .

The given question is incomplete , the complete question is

What is the factored form of the expression [tex]3x+24y[/tex]  ?

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After taking the common, the factored form of 3x + 24y is 3(x + 8y).

In the given question, we have to find the factored form of 3x + 24y.

The given expression is 3x + 24y.

The following is how we factor the GCF out of a polynomial:

(1) Determine the polynomial's GCF for each term.

(2) Present each term as the GCF and another factor's product.

(3) To factor out the GCF, use the distributive property.

To solve this question, we take common the number that are common in both terms. Then We solve this expression.

Taking 3 common

3x + 24y = 3(x + 8y)

Hence, the factored form of 3x + 24y is 3(x + 8y).

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The complete answer is:

What is the factored form of 3x + 24y?

Answer:

1) The number of miles Priya ran last week was 43 miles

2) The way Elena found Priya's miles is faster compared to the way it was found here

Step-by-step explanation:

1) The number of miles Priya ran this week = The number of miles Priya ran last week - 7

The number of miles Priya ran this week = 9 × The number of miles Elena ran this week

The number of miles Elena ran this week = 4 miles

Therefore;

Let the number of miles Priya ran last week = x miles

The number of miles Priya ran this week = (x - 7) miles

Therefore, we have

(x - 7) = 9 × The number of miles Elena ran this week = 9 × 4 miles = 36 miles

x = (36 + 7) miles = 43 miles

The number of miles Priya ran last week = x miles = 43 miles

The number of miles Priya ran last week = 43 miles

2) From (x - 7) = 9 × The number of miles Elena ran this week = 9 × 4 miles = 36 miles, we have;

(x - 7) = 9 × 4

1/9(x - 7) = 4

Therefore, multiplying by 9, we have;

9 × 1/9(x - 7) = 9 × 4

(x - 7) = 9 × 4 = 36

x - 7 + 7 = 36 + 7

x = 43 miles

Therefore, the way Elena found Priya's miles is faster compared to the way it is found here