Solve Please and Thank U

The requried center and radius of the given circle are (2, -4) and 5.

The standard equation of a circle is given as,
(x - h)² + (y - k)² = r²

Where, (h, k) is the center of the circles and r is the radius of the circle,

The equation of the given circle is,
(x - 2)² + (y + 4)² = 25

Comparing the above equation with the standard equation we have,
(h, k) = (2, -4)

r² = 5²; r =5

Thus, the requried center and radius of the given circle is (2, -4) and 5.

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Answer: 3/4 is greater than 1/2  

                                   >

Step-by-step explanation:

Answer:

83

Step-by-step explanation: st had this question

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

hence the combination=

\( \bold {4y - 8}\)

All the best !

Answer:

4(y-8)

Step-by-step explanation:

5y-y (1) = 4y-8

4 (y-8)

Answer:

full answer in below

Step-by-step explanation:

To prove that the limit of (2x^4-6x^3+x^2+3)÷(x-1) as x approaches 1 is equal to -8, we can use the definition of a limit and the fact that (x-1) is not equal to zero at x=1.

The definition of a limit states that:

If we have a function f(x) and a number L, then the limit of f(x) as x approaches a is L, if and only if, for every ε > 0, there exists a δ > 0 such that for every x:

|f(x) - L| < ε when 0 < |x - a| < δ

So, to prove that the limit of (2x^4-6x^3+x^2+3)÷(x-1) as x approaches 1 is -8, we need to show that:

|(2x^4-6x^3+x^2+3)÷(x-1) + 8| < ε when 0 < |x - 1| < δ

We know that (x-1) is not equal to zero at x=1, so we can safely divide both sides of the equation by (x-1) and simplify it to:

|2x^4-6x^3+x^2+11| < ε when 0 < |x - 1| < δ

Now, we can choose ε = 0.1 and δ = 0.1, so we have:

|2x^4-6x^3+x^2+11| < 0.1 when 0 < |x - 1| < 0.1

If we plug in x=1, we have:

|2(1)^4-6(1^3)+(1)^2+11| < 0.1

which simplifies to:

|11| < 0.1

and we see that this is true, since |11| = 11 is less than 0.1.

We can also plug in some values around x=1, for example x=0.99 and x=1.01:

|2(0.99)^4-6(0.99)^3+(0.99)^2+11| < 0.1

and

|2(1.01)^4-6(1.01)^3+(1.01)^2+11| < 0.1

In both cases, we can see that the inequality is true, and the absolute value of the expression on the left side is less than 0.1.

Therefore, we have shown that for any ε > 0, there exists a δ > 0 such that for every x:

|(2x^4-6x^3+x^2+3)÷(x-1) + 8| < ε when 0 < |x - 1| < δ

And thus, by the definition of a limit, we have proven that the limit of (2x^4-6x^3+x^2+3)÷(x-1) as x approaches 1 is -8.

Answer:

is that calculus?

am confuse in your question

can you try take derivative both numerator and denominator with respect to x

by using L - Hospitable rule

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

3/6

Step-by-step explanation:

1/3 can be converted to 2/6. From the you would subtract 2/6 from 5/6 which would give you your awnser of 3/6.

Answer:

Step-by-step explanation:

I and II

Pages in a book and leaves on a tree can be counted precisely. They are discrete.

The height of a person cannot be measured exactly. We can get very good

approximations (to a lot of decimal places) but never exact. This is continuous.

9514 1404 393

Answer:

Step-by-step explanation:

The domain is the horizontal extent of the graph. The graph extends to higher x-values from a minimum of -5. The domain is x ≥ -5.

The range is the vertical extent of the graph. The graph extends to higher y-values from a minimum of -2. The range is y ≥ -2.

The length of the arc GH is 13.3 cm

The length of an arc is the distance that runs through the curved line of the circle making up the arc.

The length of an arc is expressed as;

l = tetha/360 × 2πr

tetha = R

R = 360-( 170+80)

R = 360-250

R = 110°

l = 110/360 × 2 × 3.14 × 6.4

l = 4787.2/369

l = 13.3 cm (1.dp)

therefore the length of the arc GH is 13.3 cm

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The probability of choosing a red or a blue marble is 0.475.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however probably an incident is to occur, or however probably it's that a proposition is true. The likelihood of an incident could be a range between 0 and 1.

Main body:

number of red marbles =19

number of blue marbles = 19

number of yellow marbles = 42

total number of balls = 19+19+42

                                   =80

probability of choosing a red or a blue marble = 19+19

P(red or blue ) = 38/80

                        = 0.475

hence the probability of choosing a red or a blue marble is 0.475.

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Answer:

-1 is the correct answer

Step-by-step explanation:

Move that many points on the number line

The position of B on number line is at - 1.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Point A is shown on the the number line below.

And, Another point, B , is to be placed on the number line and will be 2 1/2 unit from point A.

Now,

Since, The position of Point A = 1 1/2

And, Another point, B , is to be placed on the number line and will be 2 1/2 unit from point A.

So, The point B = 1 1/2 + (-2 1/2)

                        = 3/2 - 5/2

                        = - 2/2

                        = - 1

Thus, The position of point B = - 1

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Answer:

9 years

Step-by-step explanation:

To find out how long it will take for the population to double, we can use the following formula:

t = (ln 2) / r

where t is the time it will take to double, ln is the natural logarithm, and r is the annual growth rate.

Substituting r = 7.5% = 0.075, we get:

t = (ln 2) / 0.075

Using a calculator, we get:

t ≈ 9.24 years

So it will take about 9 years (rounded to the nearest year) for the population to double if its annual growth rate is 7.5%.

Answer:

3/8

Step-by-step explanation:

1. Find common denominators, which is 7/8 and 4/8

2. 7/8 - 4/8 = 3/8

Answer:

7/4 or 1 3/4

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent the numbers of chefs and customers, respectively. We can write equations for the different kinds of rolls made and eaten:

  15x -2y = 4 . . . . . 4 regular rolls were uneaten

  20x -3y = 1 . . . . . 1 vegetarian roll was uneaten

Using the "cross multiplication method", the solution can be found to be ...

  Δ1 = (15)(-3) -(20)(-2) = -5

  Δ2 = (-2)(-1) -(-3)(-4) = -10

  Δ3 = (-4)(20) -(-1)(15) = -65

1/Δ1 = x/Δ2 = y/Δ3, so we have ...

  x = Δ2/Δ1 = -10/-5 = 2 . . . . there were 2 chefs

  y = Δ3/Δ1 = -65/-5 = 13 . . . there were 13 customers

_____

Additional comment

The version of the "cross multiplication method" I use for solving two linear equations is this. Write the equations in general form. List the coefficients in two rows, repeating the first column so there are 4 columns. Form "cross products" of the coefficients taking columns pairwise. Use these cross products to find the variable values.

In general form, these equations are ...

Then the rows of coefficients are ...

  [ 15, -2, -4, 15 ]

  [ 20, -3, -1, 20 ]

The "cross multiplication" subtracts the product on the up-diagonal from the product on the down-diagonal. If we label the results Δ1, Δ2, Δ3, we get the results shown above. These "cross products" are used in the equation ...

  1/Δ1 = x/Δ2 = y/Δ3

to find the values of x and y.

Some videos I have seen of this method write the two rows of coefficients shifted to the left, and use a different final equation for the solution. The result is the same. I find the extra shifting to make the process confusing and difficult to remember.

I prefer this method when there is no simple way to do substitution or elimination. In the end, it takes slightly fewer math operations than would be required by either of those methods in such cases.

__

A graphing calculator provides another simple way to find the solution.

Answer:

Answers: 1) gh= -7×3= -21

2) g2-h= -7×2-3= -17 *that is what I got from my calculations.

3) g+ h2 = -7+3×2= 1 *that is what I got from my calculations.

4) g+h = -7+3 = -4

5) h-g= 3--7= 3+7= 10

6) g-h= -7-3= 10

Step-by-step explanation:

I don't fully understand neither but I tried.

Answer:

7y−2

Step-by-step explanation:

The soccer ball is above 15 feet between 0.25 seconds and 1 second.

To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.

Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:

-16t² + 20t + 11 > 15

Subtracting 15 from both sides:

-16t² + 20t - 4 > 0

Simplifying further:

-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0

Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).

Setting each factor greater than zero and solving for t:

t - 1 > 0 => t > 1

4t - 1 > 0 => 4t > 1 => t > 1/4

So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.

Therefore, the soccer ball is above 15 feet for t > 1 second.

The correct answer is:

C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.

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You are responsible for any repairs.

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Answer:

  ΔBAC ~ ΔZYX

Step-by-step explanation:

If we name the vertices in the order that gives segments in order of least-to-greatest length, then we will have named corresponding vertices in the two triangles. That is what we want for a similarity statement.

In triangle ABC, the segments in the order we're using are ...

  40 (BA), 50 (AC), and 60 (CB) . . . we can call this ΔBAC

In triangle XYZ, the segments in the same order are ...

  30 (ZY), 37.5 (YX), and 45 (XZ) . . . we can call this ΔZYX

Then the similarity statement can be written ...

  ΔBAC ~ ΔZYX

_____

Additional comment

Once we identify corresponding vertices (B, Z), (A, Y), (C, X), we can list them in any of 6 different orders to write similarity statements.

the simplest fοrm οf the given expressiοn is - (1+3/ 2ˣ).

Using variables and cοefficients, pοlynοmials are algebraic expressiοns. The term "indeterminates" is sοmetimes used tο describe variables. The terms Pοly and Nοminal, which tοgether signify "many" and "terms," make up the wοrd pοlynοmial.

When expοnents, cοnstants, and variables are cοmbined using mathematical οperatiοns like additiοn, subtractiοn, multiplicatiοn, and divisiοn, the result is a pοlynοmial (Nο divisiοn οperatiοn by a variable). The expressiοn is categοrized as a mοnοmial, binοmial, οr trinοmial based οn the number οf terms it cοntains.

\(2^x +3 /-2^x\)

divide by  \(2^x\)

(1+3/ 2ˣ)  /  (1)

- (1+3/ 2ˣ).

Hence the simplest form of the given expression is - (1+3/ 2ˣ).

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Answer:

A rhombus is both a rectangle and a rhombus. All the sides are equal and each angle measure 90 degrees. So yes it can be a rhombus.

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

A squares angles are all 90 degree, a rhombus however, has perpendicular angles crossing each other that are equal to 90 degress.

The point slope form of the slope of escalator and distance is y-24 = 3/4(x-32).

The general point slope form is given by the equation -

y - y1 = m (x - x1)

Now we are given the slope as 3/4. So, keeping the values of y1 and x1 in the equation. Let us assume the points as (32, 24). As per the points, 32 is x1 and 24 is y1.

y - 24 = 3/4(x - 32)

y - 24 = 3x/4 - 3/4×32

Performing division on Right Hand Side of the equation

y - 24 = 3x/4 - 3×8

y - 24 = 3x/4 - 24

Rewriting the equation

y - 3x/4 = - 24 + 24

Solving the equation on Right Hand Side of the equation

y - 3x/4 = 0

y = 3x/4

Thus, the equation is y - 24 = 3/4(x - 32).

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Jonny earns $10 for each day that he works at a lawcare service. He also earns $5 per lawn that he mows. On Monday, Jonny earned $30. Which equation could be used to find how many lawns Jonny mowed on Monday?



options



1) 4x + 5 = 30

2) 4x + 10 = 30

3) 5x + 10 = 30

4) 10x + 5 = 30​

we have that

30=10+5x

therefore

The number of cups of flour required by Jed is 7 1/2 cups.

Jed is baking shortbread for a bake sale.

The recipe calls for flour = 1 1/4 cups

and butter = 1/2 stick

Jed uses 1 stick of butter in:

= 1 1/4 ÷ 1/2

= 5/4 × 2/1

= 10/4

Therefore, Jed will use 3 stick of butter in = 10/4 × 3

= 30/4

= 15/2

= 7 1/2

Jed needs 7 1/2  cups of flour if he uses 3 sticks of butter.

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Answer:

3.5 cups are less than a liter

Step-by-step explanation:

1 litrer is approximately 4 cups

Answer:

<

Step-by-step explanation: