A circle with center O has radius 25. Chord AB of length 30 and chord CD of length 14 intersect at point P . The distance between the midpoints of the two chords is 12. The quantity OP^2 can be represented as m/n, where and are relatively prime positive integers. Find the remainder when m+n is divided by 1000.

Answer:

y = 7x - 2

Step-by-step explanation:

m = slope

b = y int

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Answer and Step-by-step explanation:

The equation formula is written as:

y = mx + b

Where:

m = the slope

b = y-intercept

So, all we have to do is plug in the values given to us into the equation.

7 = m

b = -2

y = 7x - 2  is your answer.

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The equation of a parabola that intersects the x-axis at points (-1, 0) and

(3, 0) is y = x² - 2x - 3.

What is a parabola?

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola.

Since the parabola intersects x-axis at points (-1,0) and (3,0), the parabola has its axis parallel to y-axis.

The general equation for such parabola is,

y = ax² + bx + c

The roots of the quadratic equation is found when y = 0

We know that when y = 0, x = -1 , 3

So (x+1) (x - 3) = 0

Solving the above equation we can find the equation of parabola

x² - 3x + x -3 = y

Therefore y = x² - 2x- 3 is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0).

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Answer:

0

Step-by-step explanation:

625 / 25 = 25

55g + 25 = 25

55g = 25 - 25

55g = 0

g = 0/55

g = 0

Answer:

[tex] \sf \: g = 0[/tex]

Step-by-step explanation:

Given equation,

→ 55g + 25 = 625 ÷ 25

Now the value of g will be,

→ 55g + 25 = 625 ÷ 25

→ 55g + 25 = 25

→ 55g = 25 - 25

→ g = 0 ÷ 55

→ [ g = 0 ]

Hence, the value of g is 0.

No, 1 gram is not equal to 1 mole. The numerical values of mole and gram are different for an object.

What is 1 gram?

Avogadro number of atoms makes up one mole. It is possible to convert a mole into grams if you know the mole quantity.

Mole: The International System of Units uses the mole (symbol: mol) as the unit of material quantity. How many elementary entities of a particular substance are present in an object or sample is determined by the quantity of that material. It is specified that the mole contains exactly 6.02214076×10²³ elementary entities.

The relation between  gram  and mole is

1 gram = Mole × atomic weight.

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Answer: 9

Step-by-step explanation: Simplify the expression = 3 *3 ( 2 /3 )

Cancel the common factor of  3  = 3*3

Raise  3  to the power of  2 = 9

The mixed fraction number 27 ²/₃ in the form of the decimal number will be 27.667.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The mixed fraction number is given below.

⇒ 27 ²/₃

Convert the mixed fraction number into a decimal number. Then we have

⇒ 27 ²/₃

⇒ 27 + ²/₃

⇒ 27 + 0.667

⇒ 27.667

The mixed fraction number 27 ²/₃ in the form of the decimal number will be 27.667.

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Answer:

x-intercepts: -72 and 133

y-intercept: -19152

Step-by-step explanation:

You can solve for x-intercepts by...

[tex]y = (2x + 144)(x - 133)[/tex]

2x+144=0

-144 -144

2x=-144

2 2

x=-72

x-133=0

+133 +133

x=133

to find y intercept you plug in 0 for x...

y=(2(0)+144)(0-133)

y=(0+144)(-133)

y=(144)(-133)

y=-19152

Answer:

AC = PF

Step-by-step explanation:

Answer: 5.474 m

Step-by-step explanation:

first jump = 4.25

best jump = first jump * 1.12

winning jump = best jump *1.15

Answer:

[tex]opposite \approx 147[/tex]

Step-by-step explanation:

To solve this problem one can use the trigonometric ratios, these ratios are the following,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

In this problem, one is given the adjacent side, and is asked to find the opposite side, thus use the function ([tex]tan[/tex]). Substitute in the given value and solve,

[tex]tan(52)=\frac{opposite}{115}[/tex]

Inverse operations,

[tex]115(tan(52))=opposite[/tex]

Solve,

[tex]147 \approx opposite[/tex]

Answer: The input values for this function are the number of hours traveled, represented by the variable h. Therefore, appropriate input values for this function would be any positive number representing a number of hours traveled.

For example, some appropriate input values could be:

h = 1: This represents 1 hour of travel, or a total distance of 140 miles.

h = 2: This represents 2 hours of travel, or a total distance of 280 miles.

h = 3.5: This represents 3.5 hours of travel, or a total distance of 490 miles.

Note that the input values do not have to be whole numbers, they can be any positive number representing a number of hours traveled.

Step-by-step explanation:

The coefficient of XY in 7xy is 7

Any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value is known as a coefficient in mathematics. In some phrases, a letter might be substituted for the usual number. For example, x is the variable and a and b are the coefficients in the formula: ax2 + bx + c.

What is a coefficient?

A coefficient is a quantity or number that is coupled with a variable. Frequently, an integer is multiplied by the variable and written next to it. The variables that don't have a corresponding number are presumed to have a coefficient of 1.

Seven is the coefficient of XY in 7xy.

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Answer:

(0, 4)

Step-by-step explanation:

If x = 0, 4(3^x) = 4(3^0) = 4(1) = 4.  So the y-intercept is (0, 4)

Answer:

To find the number of hours you work, you need to set up an equation using the information given. Let's say that the number of hours you work is x. The equation would be:

17(x/2) = 42.50

The parentheses around x/2 indicate that the division should be done before the multiplication. So, x/2 = 2.5. Multiplying both sides of the equation by 2 gives us:

x = 5

So, you work 5 hours.

Step-by-step explanation:

So, we know that you earn $17 per 2 hours. We also know that we earned $42.50. Now, we just need to find the hours! We can do this by using a cross multiply.

$17 is directly correlated to 2 hours of work. Therefore, to find the hourly wage we should divide it by 2:

   $8.5 = 1 hour

$42.50 = x hours?

Now cross multiply:

$8.5x = $42.50

x = 5 hours

Therefore, your answer is 5 hours!

Hope this helps!

Answer:

d

Step-by-step explanation:

Answer:

You are in fact correct

Step-by-step explanation:

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Answer:

yes

Step-by-step explanation:

Answer:

The point, (0.0). is the ordered pair at the origin.

Step-by-step explanation:

Answer:

14.7 ft²

Step-by-step explanation:

the volume of the triangular prism =

(½×3.5×2) x 4.2

= 3.5 × 4.2

= 14.7 ft²

Answer:

Solution given:

For triangle

base=3.5

height =2ft

and length=4.2ft

Now

Volume of triangular prism=area of traingle x length

=½(3.5*2)×4.2

=14.7ft³

Required volume is 14.7ft³.

Answer:

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Answer:

19 ( i think)

Step-by-step explanation:

1/8*(5/5)= 5/40

2/5*(8/8)= 16/40

16/40 + 5/40 =21/40

40-21= 19

Answer:

19 houses

Step-by-step explanation:

Answer:

6 tubes of lip balm

Step-by-step explanation:

We can start solving this problem by isolating the variable x.

Given the equation 1.5x + 2.5y = 9, and we know that y = 0 (because we're not buying any bottles of hand sanitizer), we can substitute this into the equation:

1.5x + 2.5(0) = 9

Simplifying this, we get:

1.5x = 9

To solve for x, we can divide both sides of the equation by 1.5:

x = 9/1.5

x = 6

So we can buy 6 tubes of lip balm if we do not buy any bottles of hand sanitizer

Step-by-step explanation:

3^0=1

3^2=9

[tex] \frac{1}{9} [/tex]

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Answer:

1/9

Step-by-step explanation:

When dividing terms with exponents, you subtract the exponents.

3⁰/3² = 3⁰⁻² = 3⁻² = 1/9

Therefore, the simplified expression is 1/9.

1/2

If there are 3 ponies, and 6 sheep,

the original ratio is 3/6.

However, it must be simplified down to 1/2.

(x - 3) is a factor of the polynomial f(x) = x³ - 3x² + 4x - 12 since f(3) = 0.

To solve the problem, recall the factor theorem.

Factor Theorem states that if we have a polynomial f(x) and if (x - a) is a factor of f(x), then f(a) = 0

The given function is:

f(x) = x³ - 3x² + 4x - 12

To see whether x - 3 is a factor of f(x) = x³ - 3x² + 4x - 12, we need to find f(3).

Substitute x = 3 into f(x):

f(3) =3³ - 3(3)² + 4(3) - 12

f(3) = 27 - 27 + 12 - 12

f(3) = 0

Since f(3) = 0, then x -3 is a factor of  x³ - 3x² + 4x - 12

Your question is incomplete, but most probably your question was:

Is x - 3 a factor of the polynomial  x³ - 3x² + 4x - 12?

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The values of x and y, given the angles, can be found to be :

The parallel line is drawn such that ( 7 y - 12 ) degrees and ( 6 y + 8 ) degrees are equal to each other.

In the same vein, 4x degrees and 6x - 26 degrees are the same as well. This is because they are vertical angles.

The value of x is:

4x = 6x - 26

6x - 4 x = 26

2x = 26

x = 26 / 2

x = 13

The value of y is :
7 y - 12 = 6 y + 8

7y - 6 y = 8 + 12

y = 20

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[tex]2xA^{3}[/tex]  is a polynomial as a result.  Constants, variables, and exponents can all be included in a polynomial, but variable division is never permitted.

In mathematics, a polynomial is an expression made up of variables (also known as indeterminates) and coefficients that exclusively uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).

given

[tex]2xA^{3}[/tex]  is a polynomial as a result. Constants, variables, and exponents can all be included in a polynomial, but variable division is never permitted.

It is impossible to classify an expression as a polynomial if it contains a variable with exponents that are negative or fractional, divides by a variable, or is included inside a radical.

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Yes S lies as the perpendicular bisector as asked in the question .

The distance is calculated with the use of distance formula,

d = √( x2 - x1 )² + ( y2 - y1 )²

Now , we are suppose to calculate the distance between the points S and R, given their values are ,

S=(4,-2) and

R=(3,7)

Using distance formula ,

d = √( 3 - 4 )² + ( 7 - (-2))²

d =  √ 1 + 81

=  √82

Now, the distance between Q and S can be found as ,

Q=(-5,-1)

S=(4,-2)

d = d = √(4 + 5)² + ( -2 + 1)²

d =  √ 81 + 1

=  √82

As the distance between the two ends of the segment and the point S is the same, the point S must lie on the perpendicular bisector of QR, according to the perpendicular bisector theorem.

For question number 9 the distance between Q and S are,

Q=(-5,4)

S=(-2,-5)

d = √( -2 -5)² + ( 5 - 4)²

d =  √ 9 + 1

=  √10

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Answer:

take 19 degree as reference angle

using sine rule

sin 19 degree=x/74

0.32=x/74

0.32*74=x

23.68=x

Step-by-step explanation:

Hope this helps u !!