Find the slope of the graph

Answer:

a

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

if you distribute and simplify:

4x-12 = 12+4x-8

4x-12 = 4x+4

-12 ≠ 4

Answer:

\(x = - \frac{1}{3} \)

Step-by-step explanation:

1) Simplify 2 - 6 to -4.

\(2x \times - 4 = 4(3 + 1 \times x - 2)\)

2) Simplify 1 × x to x.

\(2x \times - 4 = 4(3 + x - 2)\)

3) Simplify 3 + x - 2 to x + 1.

\(2x \times - 4 = 4(x + 1)\)

4) Simplify 2x × -4 to -8x.

\( - 8x = 4(x + 1)\)

5) Divide both sides by 4.

\( - 2x = x + 1\)

6) Subtract x from both sides.

\( - 2x - x = 1\)

7) Simplify -2x - x to -3x.

\( - 3x = 1\)

8) Divide both sides by -3.

\(x = - \frac{1}{3} \)

Therefor, the answer is x = -1/3.

Answer:

y=4x-23

Step-by-step explanation:

y+3=4(x-5)

y+3=4x-20

y=4x-20-3

y=4x-23

From using the polar coordinates, the volume of a solid present below the paraboloid z = 32 − 2x² − 2y² and above the xy-plane is equals to the 256π.

The polar coordinates of a point is like cartesian coordinates (x,y) describe its position in terms of a distance from a fixed point say origin and an angle measured from a fixed direction, that is (r, θ). The volume of a solid can be determined by using a double integral. The volume of solid is determined by the expression, \(V= \int \int_D f ( r , θ ) r d r d θ\).

We have a paraboloid z = 32 − 2x² − 2y², and determine the volume of solid below the paraboloid and above xy-plane.

Change the cartesian coordinates into polar coordinates, put \(x= rcos(θ)\) , \(y = rsin(\theta)\) and z = 0

=> 32 − 2x² − 2y² = 0

=> 32 = 2( x² + y²)

=> 16 = x² + y² = r² ( since r² cos²θ + r²sin²θ = x² + y²)

=> r² = 16

=> r = ± 4, but r is always positive so, 0≤ r≤ 4 and for angle, 0≤ θ≤ 2π. Also, we can rewrite the paraboloid, z = f(r,θ)= 32 - 2r² in polar coordinates. Using the volume integral, \(V = \int_{0}^{2π} \int_{0}^{4}( 32- 2r²) r d r d θ\)

\(= \int_{0}^{2π} \int_{0}^{4}( 32r - 2r³) d r d θ\)

=\( \int_{0}^{2π} [ \frac{32r^2}{2}- \frac{2r⁴}{4}]_{0}^{4} d θ\)

= \(\int_{0}^{2π} ( \frac{32(4²)}{2}- \frac{2(4)⁴}{4}) d θ\)

\(= \int_{0}^{2π} 16 d θ\)

\(= [128θ]_{0}^{2π} \)

= 256π

Hence, required volume value is 256π.

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Answer:

The Triangle Midsegment Theorem states that, if we connect the midpoints of any two sides of a triangle with a line segment, then that line segment satisfies the following two properties

Step-by-step explanation:

Step-by-step explanation:

Domain is the independent variable x. All values listed in x column are in Domain

So, Domain = {5, 10, 15, 20, 25}

Answer:

133.33333333 percent

the diffrence is 800

Step-by-step explanation:

[(1400 - 600) / 600] × 100%

= 1.3333333333 × 100%

= 133.33333333%

Answer:

133.33% increase

Step-by-step explanation:

This is a percent increase, and to solve for one you need to know the following formula

\(|\frac{new~value~-~original~value}{original~value}| *100\)

Plugging it in;

New value = 1400

Old value = 600

\(|\frac{new~value~-~original~value}{original~value}|= |\frac{1400-600}{600}| = |\frac{800}{600}| = 1.333333333\)

1.3333333 as a percent is

133.33%

So you have an increase of 133.33%

The required, there are 8998912 possible license plates that can be generated using this format.

Here, we have,

There are 8 digits that can be used for each of the three digits on the license plate, with two digits (4 and 5) that cannot be used.

Therefore, there are 8 choices for each of the three digits,

giving us 8 x 8 x 8 = 512 possible combinations for the digits.

Similarly, there are 26 letters that can be used for each of the three letters on the license plate.

Therefore, there are 26 choices for each of the three letters, giving us 26 x 26 x 26 = 17576 possible combinations for the letters.

Total number of license plates = number of choices for the digits x number of choices for the letters

= 512 x 17576

= 8998912

Therefore, there are 8998912 possible license plates that can be generated using this format.

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The unit circle is the circle centered at with radius The unit circle is a circle centered at the origin with a radius of 1 unit. It plays a fundamental role in trigonometry, providing a geometric representation of the trigonometric functions

The unit circle is a circle that is centered at the origin (0, 0) of a coordinate plane and has a radius of 1 unit. In other words, it is a circle with a diameter of 2 units.

The unit circle is particularly significant in mathematics, especially in trigonometry. Its properties and relationships with angles are extensively used in various mathematical applications.

One of the main reasons the unit circle is so important is due to its connection with the trigonometric functions sine and cosine. As an angle rotates around the origin,

the coordinates of the point on the unit circle where the terminal side of the angle intersects the circle correspond to the values of sine and cosine of that angle.

For example, if an angle of 30 degrees is measured counterclockwise from the positive x-axis, the coordinates of the corresponding point on the unit circle would be (√3/2, 1/2), which are the values of sine and cosine for that angle.

Additionally, the unit circle provides a convenient way to visualize and understand other trigonometric functions such as tangent, cotangent, secant, and cosecant.

By examining the ratios of the coordinates on the unit circle, we can relate these trigonometric functions to the lengths and angles associated with right triangles.

In summary, the unit circle is a circle centered at the origin with a radius of 1 unit. It plays a fundamental role in trigonometry, providing a geometric representation of the trigonometric functions and aiding in the understanding of angles, ratios, and relationships within the field of mathematics.

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Answer:

a=100 b=50 c=30

Step-by-step explanation:

30+50+a= 180, A= 100.

90+40+b=180, B=50      

A+B+C= 180

100+50+c=180, C=30

Answer:

5 - 15 = -10

Step-by-step explanation:

Answer:

5 - 15 = -10

Step-by-step explanation:

If you start with 5 and then subtract 15, you end up at -10.

Each of Polina's juice pouches holds 7 fluid ounces of juice. A equation that connects the quantity of juice in each pouch to the overall amount in fluid ounces is p-7j=0.

Given that,

Each of Polina's juice pouches holds 7 fluid ounces of juice.

We have to create a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces.

The equation is p=7j

p-7j=0

Therefore, a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces is p-7j=0.

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Answer: what he said^

Step-by-step explanation: i like the points

Answer:

2

+

8

+

6Step-by-step explanation:

Answer:

Step-by-step explanation:

\(x^2+8x+6 =\\\\=\underline{x^2+2\cdot x\cdot 4+4^2}-4^2+6=\\\\=(x+4)^2-16+6=\\\\=(x+4)^2-10\)

If all six bounds (limits of integration) are constant (numerical values, no variables) in cylindrical coordinates, then we must have a rectangular box-like region.

This is because in cylindrical coordinates, we have three variables: radius, angle, and height. When all six bounds are constants, we are essentially fixing the range of each variable, resulting in a rectangular box-like region.

In spherical coordinates, if all six bounds are constant, then we must have a rectangular pyramid-like region. This is because in spherical coordinates, we have three variables: radius, polar angle, and azimuthal angle. When all six bounds are constants, we are essentially fixing the range of each variable, resulting in a rectangular pyramid-like region.

It is not possible to have the exact same region represented with only constants in both cylindrical and spherical coordinates simultaneously. This is because the two coordinate systems have different geometric shapes and different ways of representing the variables. However, it is possible for the regions to have similar shapes and for the bounds to have similar numerical values in both systems.

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The equation that has the same solution as x² - 16x + 20 = -2 is x² - 16x + 22 = 0.

To find an equation with the same solution as the equation x² - 16x + 20 = -2, manipulate the given equation while preserving its solutions.

Starting with the given equation:

x² - 16x + 20 = -2

Move the constant term (-2) to the other side:

x² - 16x + 20 + 2 = 0

Simplifying:

x^2 - 16x + 22 = 0

Therefore, the equation that has the same solution as x² - 16x + 20 = -2 is x² - 16x + 22 = 0.

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The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

\(11.5 \times 6 + 10.9 \times 7\)

69 + 76.3

145.3

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Step-by-step explanation:

the first one

10 - 4x - 5 + 2x

-4x + 2x = -2x

10 - 5 = 5

so, in sum,

-2x + 5

Answer:

a

Step-by-step explanation:

Answer:

60241.22

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 ÷ 5 = 2 x6 = 12

Answer:20

Step-by-step explanation:the answer is 20

trust

This proof shows that if there exists an element g in a group G such that g^n = g^m = e, then g^gcd(n, m) = e.

Let's prove that if there exists an element g in a group G such that g^n = g^m = e, where n and m are integers, then g^gcd(n, m) = e.

First, note that since g^n = e, we have (g^n)^k = e^k = e for any integer k. Similarly, (g^m)^k = e for any integer k.

Now, let d = gcd(n, m). By definition, d divides both n and m, so we can write n = dx and m = dy, where x and y are integers.

Using this, we can express g^n and g^m as (g^d)^x and (g^d)^y, respectively.

Now, consider the exponent k = gcd(x, y). Since k divides both x and y, we can write x = kz and y = kw, where z and w are integers.

Using these expressions, we have (g^d)^x = (g^d)^(kz) and (g^d)^y = (g^d)^(kw).

Using the property mentioned earlier, we know that (g^d)^k = e for any integer k.

Substituting the above expressions, we have (g^d)^x = e^z = e and (g^d)^y = e^w = e.

Therefore, g^gcd(n, m) = g^d = e, as desired.

This proof shows that if there exists an element g in a group G such that g^n = g^m = e, then g^gcd(n, m) = e.

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The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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how do I solve by square root property don't know by if multiply and add you will get the answer it is 10

The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will  lighter, not darker.

The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.

Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.

After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.

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Answer:

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

Adding same values results in multiplication.

Multiplication of same values results in exponents.

Find the equivalent expression with the given:

This is same as the last answer choice.

Answer:

Step-by-step explanation:

Answer:

196.1 cm^2

Step-by-step explanation:

The area of a circle is given by Area = πr^2

R is (15.8 cm)/2 = 7.9 cm

Area = (3.14)*(7.0cm)^2

Area = 196.1 cm^2

Answer:

The formula to calculate the area of a circle is given by: A = π * r^2, where r is the radius of the circle.

Given the diameter of 15.8 cm, we can calculate the radius by dividing the diameter by 2: r = 15.8 cm / 2 = 7.9 cm

Plugging the value of the radius into the formula: A = π * 7.9^2 = 3.14 * 62.41 = 196.0794 cm^2

Rounding the answer to the nearest hundredth, the area of the circle with a diameter of 15.8 cm is approximately 196.08 cm^2.