Write the standard equation of the circle.
Geometry b

Answer:

16ᵗʰ Term of the sequence is 1010

Step-by-step explanation:

7.)

Here,

First Term = a₁ = 5

Common Difference = d = 67

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 5 + (16 - 1) 67

a₁₆ = 5 + 15 × 67

a₁₆ = 5 + 1005

a₁₆ = 1010

Thus, 16ᵗʰ Term of the sequence is 1010

-TheUnknownScientist

Since there was a total of 36 rolls, and 15 of the rolls gave an even number, the odds will be 15/36. This can be reduced to 5/12, your answer.

Hope that helps.

Answer:

2344 .

Step-by-step explanation:

n/a

[tex]\sf x\left(x+3\right)=x+8\\\\\\\\x^2+3x=x+8\\\\\\\\\sf \boxed{\sf\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8=x+8-8\\\\\\\\\sf \boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+3x-8=x\\\\\\\\\boxed{\sf \mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8-x=x-x\\\\\\\\\boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+2x-8=0\\\\\\\\\boxed{\sf factor~ x^2+2x-8=0}\\\\\\\\\sf \left(x-2\right)\left(x+4\right)=0[/tex]

[tex]\sf \boxed{\sf \mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0}\\\\\\\\\sf x-2=0\quad \mathrm{or}\quad \:x+4=0\\\\\\\\\boxed{\sf \{x=2\}}\\\\\boxed{\sf \{x=-4 \} }[/tex]

A system of equations for this problem can be written as:

x + y = 10 (1) equation for the total number of herbs planted

0.50x + 0.25y = 3 (2) equation for the total cost of the herbs

Where x is the number of basil plants and y is the number of mint plants.

Using substitution, we can solve the system of equations.

Solving equation (1) for x, we get x = 10 - y

Substituting this into equation (2) we get:

0.50(10 - y) + 0.25y = 3

5 - 0.50y + 0.25y = 3

5 = 0.75y + 3

0.75y = -2

y = -2/0.75 = -8/3

So, Eden planted -8/3 mint plants, which doesn't make sense, as a fraction of plant are not possible. This implies that either the number of plants or the amount spent are incorrect or something is missing in the problem description.

Let x be the coefficient of y^2 in the expression 2x^2y+15xy^2-7y. So x=0.

What is co-efficient?

A coefficient is a multiplicative factor in a polynomial, series, or expression in mathematics. It is typically a number, although it can also be any expression (including variables such as a, b and c). They may also be referred to as parameters if the coefficients are variables in and of themselves.

Write an example of co-efficient.

As an illustration, 6z stands for 6 times z. Since z is a variable, 6 is a coefficient. For variables without a value, the coefficient is 1.

The given algebraic expression is 2yx^2+15xy^2-7y.

The terms are xy^2, yx^2 any y^2

So the co-efficient of y^2 is 0

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Answer:Don't know

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

x + 4 = 12

Subtract 4 from both sides

x = 8

Let's check

8 + 4 = 12

12 = 12

So, x = 8 is correct!

If you can, please give me a Brainliest, thank you!

Answer:

3/10 m^2

Step-by-step explanation:

To find the area of the rectangle

A = l*w

  = 2/5 * 3/4

   =6/20

Divide the top and bottom by 2

  = 3/10 m^2

Answer:

As a decimal it would be 0.3 but as a faction it would be 3/10

Step-by-step explanation:

2/5 times 3/4 = 0.3 or 3/10

Answer:

Step-by-step explanation:

-x+6=-2(x+2)-5

Solve for x

-x + 6 = -2(x + 2) - 5

-x + 6 = -2x - 4 - 5

x = -15

------------------------

- (-15) + 6 = -2(-15 + 2) - 5

21 = 21

x = -15

Answer:

times 1 by 80 and 5 by 80

Step-by-step explanation:

then you can determine from there

Answer:

2,570 meters

Step-by-step explanation:

110% of what number is 2827

1.1x = 2827  Divide both sides by 1.1

[tex]\frac{1.1x}{1.1}[/tex] = [tex]\frac{2827}{1.1}[/tex]

x = 2570

Answer S−2BP=h

Explanation:isolate the Phterm on one side of the equation:S−2B=PhDivide both sides by P:S−2BP=h

Hopefully this helps!

brainlest if it rightt

Answer:

Find the value of xx in the equation below.

11=

11=

\,\,x -6

x−6

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The formula for intersecting chords creating which create the limits of arcs and associated angles is

<HES = 1/2 (ARC HS + ARC GF)

<HES = 1/2 (ARC 51 + ARC 195)

<HES = 1/2 (246)

<HES = 123

What that tells you is that <GEF =  the same thing because <HES and <GEF are vertically opposite.

Now I am going to assume that <HES = 16x + 11. This is not a sure thing, but I assume it is what is intended.

16x + 11 = 123           Subtract 11 from both sides

16x = 123 - 11

16x = 112                  Divide by 16

x = 112/16

x = 7

In Python an operator -= is subtracts the value on its right to the variable and assigns the result to the variable on its left.

As we know an operator is nothing but a symbol that represents a mathematical or logical process.

We know that in Python the operator -= provides a way to subtract a value to an existing variable and assign the new value back to the same variable.

If m -= n

This means,  the variable m the left side is getting added to the value on the right side (n), and the result is then reassigned to the variable on the left.

i.e., m = m - n

-= is an assignment operator.

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Answer: width = 4m, perimeter = 26m

Step-by-step explanation:

area of rectangle = width x length

9x = 36

x = 4

width = 4m

perimeter:

9 + 9 +4+4 = 26 m

Answer:

85 degrees

Step-by-step explanation:

Hi there!

<x is an exterior of the triangle ABC. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, we could say that x is equal to the sum of 60 and 25:

60+25=x

85=x

Therefore, angle x measures 85 degrees.

I hope this helps!

Answer:

85

Step-by-step explanation:

After solving the algebraic equation, Miguel has 4 quarters, 12 dimes and 16 nickels.

What is algebra?

One of the earliest areas of mathematics that deals with number theory, geometry, and analysis is algebra. Algebra is also defined as the study of mathematical rules and symbols through the manipulation of those mathematical symbols.

The number of quarters is taken to be x, then the number of dimes will be 3x, and the number of nickels will be 3x + x = 4x

$3.00 when converted to cents is 300 cents.

The value of nickels is 5 x 4x=20x.

The value of dimes is 10 x 3x=30x.

The value of quarters is 25x.

As the total value of money Miguel has is 300 cents, then the algebraic equation will be -

20x + 30x + 25x = 300

Solve to get the value of x -

75x = 300

x = 4

Therefore, the amount of quarters is x = 4 quarters.

The amount of dimes is x = 3x = 3 x 4 = 12 dimes.

The amount of nickels is 4x = 4 x 4 = 16 nickels.

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Answer:

30 in.²

Step-by-step explanation:

Real:

length 30 ft

width 36 ft

Scale:

length 5 in.

width ?

30/36 = 5/x

30x = 5 × 36

x = 6

The scale width is 6 inches.

Scale area:

area = length × width

area = 5 in. × 6 in.

area = 30 in.²

The area, of the floor in the scale drawing is 30 in.²

The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.

Given that  rectangular floor of a classroom is 30 feet in length and 36 feet in width. A scale drawing of the floor has a length of 5 inches.

length 30 ft

width 36 ft

Scale: length 5 in.

Then we have

30/36 = 5/x

30x = 5 × 36

x = 6

The scale width is 6 inches.

Scale area:

The area = length × width

area = 5 in. × 6 in.

area = 30 in.²

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Answer: J' (8, -9); K' (8, -2); L' (3, -2); M' (3, -9)

Step-by-step explanation:

A rotation of 90 degrees counterclockwise is (x, y) -> (-y, x), so

J (-9, -8) -> J' (8, -9)

First, you take negative 8 (y) of J and make it positive 8 for the x of J'. Then, take -9 (y) of J and switch it to x of J'.

You repeat this process for the rest of the points. X switches to Y with the opposite sign and Y switches to X but stays the same.

K (-2, -8) -> K' (8, -2)

L (-2, -3) -> (3, -2)

M (-9, -3) -> (3, -9)

Answer:

  $16,755

Step-by-step explanation:

You want the difference in interest earned on $66,000 after 19 years between an account earning 6 3/8% compounded annually, and one earning 5 3/4% compounded continuously.

The formula for the account value multiplier when interest is compounded annually is ...

  k = (1 +r)^t . . . . . . compounded annually at rate r for t years

When interest is compounded continuously, the multiplier is ...

  k = e^(rt)

The difference in account values between the two rates is ...

  ∆value = $66,000·(1 +0.06375)^19 -e^(0.0575·19))

  ∆value ≈ $16,754.70

Benjamin will have about $16,755 more than Christian after 19 years.

Answer:

(-7, 4)

Step-by-step explanation:

The player who goes first will win.

This is because the chocolate bar can be broken up into 6*8=48 squares, and the player who goes first can always ensure that the second player is left with one square on their turn (by breaking the bar into two pieces that leave one square for the second player to take). This means that the second player will always be the one who cannot make a break, and thus loses the game.

Therefore, The player who goes first will win.

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Answer:

3km/h and the speed of the ship is 21 km/h.

Step-by-step explanation:

Answer:

The current is 3km/h and the speed of the ship is 21 km/h.

Step-by-step explanation:

The value of F (- 3 2 where F x )= 4x2 3x 72 is:

F ( -3) = - 27 and F (2) = - 62

In mathematics, function is an expression that shows a relationship between an independent variable and a dependent variable. In other words, a function creates a relation between an input to an output.

As per the given function F(x), x is the independent variable and F (x) is the dependent variables.

generally, we write F(x) = y

given, F (x) = 4x² - 3x -72

F (x) is a function of x

for x = - 3, F ( -3) = 4(-3) ² - 3(-3) -72

F (- 3) = - 27

again, x = 2, we get F (2) = 4(2) ² - 3(2) - 72

F (2) = - 62

from the above calculation, we find (-3, 2) are domain of function F (x) and

(- 27, -62) are ranges of the above function.

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The equation point slope is y - y1 = m(x - x1)

we got y - (-16)=3(x-7)

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The length c of the right angle triangle is 9 units.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.

The sides of a right angle triangle can be found using trigonometric ratios as follows:

Therefore,

sin 60° = opposite / hypotenuse

where

opposite side = c

hypotenuse side = 6√3 ft

Hence,

sin 60° = c / 6 √3

cross multiply

c = 6√3 × sin 60

c  = 6√3 × √3 / 2

c = 6 × 3 / 2

c = 18 / 2

Therefore,

c = 9 units

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