Write 65% as a rate (fraction).

Answer:

A: sf 2 or 1/2

Step-by-step explanation:

Answer:

Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4

Part B:

P''(-1, 0)

Q''(0, -1)

R''(2, -1)

Part C:

The two Triangles PQR and P''Q''R'' are not congruent.

Step-by-step explanation:

Answer:

The notation f⁻¹(-3) refers to the value(s) of x for which f(x) = -3.

However, the function f is not given in the prompt. Therefore, we cannot determine the value(s) of x for which f(x) = -3 or find f⁻¹(-3) without knowing the definition of f.

Step-by-step explanation:

Step-by-step explanation:

(x+2)/6 = 15/9

9(x+2) = 6×15

9x +18 = 90

9x = 90-18

9x = 72

x = 8

___________

\( \: \)

\( \frac{x + 2}{6} = \frac{15}{9} \)

9(x + 2) = 15 × 6

9x + 18 = 90

9x = 90 - 18

9x = 72

x = 72 ÷ 9

x = 8✔

Answer:

12

Step-by-step explanation:

21-9

12

Answer:

The answer is 12

Step-by-step explanation:

|21| = just 21

|-9| = positive 9

so take that into this:

21 - 9 = 12

Answer:

C Multiply/divide both sides by the same non-zero constant

Step-by-step explanation:

Given

\(A:\ 3(x + 2) = 18\)

\(B:\ x + 2 = 6\)

Required

How to get B from A

It can be seen that B is a factor of A.

And to get B from A, all you need to do is divide both sides of A by 3.

i.e.

\(\frac{3(x+2)}{3} = \frac{18}{3}\)

\(x+2 = 6\)

Hence, from the list of given options.

Option C answers the question because 3 is a non zero constant and both sides of the equation were divided by 3

Step 1

An improper fraction is a fraction in which the numerator(top number) is greater than or equal to the denominator ( the bottom number)

Step 2

Conclude based on step 1

Hence

Therefore the right answer is an improper fraction

They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.

According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.

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Answer:

C

Step-by-step explanation:

using

x × y = \(\sqrt{x^2+y^2}\) , then

2 × 4\(\sqrt{2}\)

= \(\sqrt{2^2+(4\sqrt{2})^2 }\)

= \(\sqrt{4+32}\)

= \(\sqrt{36}\)

= 6

\(\textsf {Applying this formula :}\)

\(\mathsf {(x) \times (y) =\sqrt{x^{2} + y^{2}}}\)

\(\textsf {Now take :}\)

\(\mathsf {x = 2}\\\mathsf {y = 4\sqrt{2}}\)

\(\mathsf {Solving :}\)

\(\implies \mathsf {\sqrt{(2)^{2} + (4\sqrt{2})^{2}}}\)

\(\implies \mathsf {\sqrt{4 + 32}}\)

\(\implies \mathsf {6}\)

The rate of the car is 55 miles per hour.

Let's break down the information given:

- The first car left the house at 10 am and traveled north.

- The second car left the house two hours later, which means it departed at 12 pm, and traveled south.

- Both cars traveled at the same rate.

- At 4 pm, the cars were 550 miles apart.

To solve for the rate of each car, we need to determine the total time each car traveled.

For the first car:

It traveled from 10 am to 4 pm, which is a total of 6 hours.

For the second car:

It traveled from 12 pm to 4 pm, which is a total of 4 hours.

Now, let's calculate the rate of each car using the formula: Rate = Distance / Time.

Let's assume the rate for both cars is represented by "r".

For the first car:

Distance = r * 6 hours.

For the second car:

Distance = r * 4 hours.

The sum of the distances traveled by both cars is equal to the total distance between them:

(r * 6) + (r * 4) = 550 miles.

Simplifying the equation:

10r = 550.

Dividing both sides by 10:

r = 55.

Therefore, the rate of each car is 55 miles per hour.

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Answer:

\((x^{1},y^{1} =(-5,0)\\(x^{2} ,y^{2} )=(2,14)\)

Step-by-step explanation:

\(x^{2} +5x=2x+10\\\\x=-5,2\\\\\\y=2(-5)+12\\y=2(2)+10\\y=0,14\\\\(x^{1} ,y^{1})=(-5,0)\\(x^{2},y^{2} )=(2,14)\)

Answer:

29

Step-by-step explanation:

Answer:

y = -3/2x + 3

Step-by-step explanation:

y = 3/2x + 3

================================================================

If you need it in decimal form ~

y = 1.5x + 3

================================================================

~Have a marvelous day~

☼☼☼☼☼☼☼☼☼☼☼

The probability that the chosen student eats fish or eggs is 12/26 = 0.4615 or approximately 46.15%

To answer your question, let's first organize the information given:

Total vegetarians: 26
Eat both fish and eggs: 9
Eat eggs but not fish: 3
Eat neither fish nor eggs: 7

We want to find the probability that the chosen vegetarian student eats fish or eggs. To do this, we need to find the total number of vegetarians who eat fish or eggs. Since 9 eat both fish and eggs, and 3 eat eggs but not fish, we can deduce that 9 + 3 = 12 vegetarians eat fish or eggs.

Now, to find the probability, we'll divide the number of vegetarians who eat fish or eggs (12) by the total number of vegetarians (26).

Probability = (Number of vegetarians who eat fish or eggs) / (Total number of vegetarians)
Probability = 12 / 26
Probability ≈ 0.4615

So, the probability that the chosen vegetarian student eats fish or eggs is approximately 0.4615 or 46.15%.

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Answer:

-15x^2 +8x -1

Step-by-step explanation:

(3x – 1)(-5x + 1)=

3x(-5x) + 3x(1) - 1(-5x) -1 =

-15x^2 +3x +5x -1 =

-15x^2 +8x -1

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A designed experiment allows the researcher to claim causation between an explanatory variable and a response variable.

A series of runs, also known as tests, in which you intentionally alter the input variables simultaneously and track the outcomes constitute a designed experiment. In the business world, designed experiments can be employed to methodically explore the process or product variables that influence product quality.

Design of experiments is defined in the quality glossary. The term "design of experiments" (DOE) refers to a subfield of applied statistics that focuses on the planning, carrying out, analyzing, and interpreting of controlled experiments to determine the variables that affect the value of a parameter or set of parameters.

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The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:

1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)

2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:

\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)

3. Simplify the equation:

\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)

4. Combine like terms:

  -x^3 - x^2 + 14x - 8 = 16x

5. Move all terms to one side of the equation:

\(-x^3 - x^2 - 2x - 8 = 0\)

6. Rearrange the equation in descending order:

  -x^3 - x^2 - 2x + 8 = 0

7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.

8. Divide the equation by (x - 2):

\(-(x - 2)(x^2 + x - 4) = 0\)

9. Apply the zero product property:

  x - 2 = 0 or x^2 + x - 4 = 0

10. Solve each equation separately:

   x = 2

11. Solve the quadratic equation:

   For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:

 \(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)

Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

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Answer:

m<ZA = 109

Step-by-step explanation:

Supplementary angles mean the angles add up to 180 so:

8x - 27 + 4x + 3 = 180

12x - 24 = 180

12x = 180 + 24

12x = 204

x = 17

m<ZA:

8x - 27

8(17) - 27

136 - 27

109

Volume is a cubic measurement.

Set up a ratio of volume to the ratio of the height:

100/v2 = 2^3/5^3

V2 = 100 x 5^3/2^3 = 100 x 125/8 = 1,562.5 cubic feet

The volume of large pyramid is 1,562.5 cubic feet, by using ratio of heights.

What information do we have?

Ratio of heights of two similar pyramids = 2:5

Volume of smaller pyramid = 100 cubic feet

Volume of smaller pyramid / Volume of large pyramid = Height of smaller pyramid³ / Height of large pyramid³

100 / Volume of large pyramid = 2³ / 5³

Volume of large pyramid = 125(100) / 8

Volume of large pyramid = 1,562.5 cubic feet

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Therefore, a 200 mg sample of acetaminophen would degrade and contain only 40 milligrams of it after 9.2876 hours.

A mathematical function called a logarithm explains how a base number and a specified number relate to one another. It is, therefore, the exponent to which a selected base number must always be raised in order to generate a particular outcome. The log of y with unit b is x, or log b y = x, for instance, if we have the solution bx = y. The formula for the logarithm expression is log b y, where b denotes the basis and y the argument. Numerous mathematical and scientific tasks involve the use of logarithms, including computing massive increase or decay, determining the strength of sounds and earthquakes, and analyzing data in areas like finance and biology. They are also utilized in data compression and computer processing.

given

There will be 100 mg of acetaminophen left after a half-life (4 hours) (half of 200 milligrams). The quantity left after two half-lives (8 hours) is 50 milligrams (or half of 100 milligrams), and then after three half-lives (12 hours), it is 25 milligrams (half of 50 milligrams).

To solve for t, we can build up the equation shown below:

200*(1/2)^(t/4) = 40

If we simplify, we get:

(1/2)^(t/4) = 0.2

Using base 1/2 to calculate the logarithm of both sides, we obtain:

log(0.2)/log(1/2) Equals t/4

t/4 = 2.3219

When we multiply both parts by 4, we obtain:

t = 9.2876

Therefore, a 200 mg sample of acetaminophen would degrade and contain only 40 milligrams of it after 9.2876 hours.

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Answer:

150.72

Step-by-step explanation:

Answer:

it will 3.14.

Step-by-step explanation:

there is no number after 4

Answer:

5

Step-by-step explanation:

x(2x-3)+3(2x-3)-6x=x(2x+4)-4(2x+4)+12

2x^2-3x+6x-9-6x=2x^2+4x-8x-16+12

2x^2-3x-9=2x^2-4x-4

-3x+4x=-4+9

x=5

The solution to the equation for x is x = 1/6[e^2]

from the question, we have the following parameters that can be used in our computation:

ln 9+ln 4x^2=4

Combine the natural logarithm

So, we have the following representation

ln(9 * 4x^2) =4

This gives

ln(36x^2) = 4

Take the exponent of both sides

36x^2 = e^4

Divide both sides by 36

x^2 = 1/36[e^4]

Take the square roots

x = 1/6[e^2]

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Answer: (x-10) (X-6)

Step-by-step explanation:

Answer: \(\Large\boxed{(x-6)(x-10)}\)

Step-by-step explanation:

Given expression

x² - 16x + 60

Cross Multiply

The meaning is to allow the factored product of the constant to add up to the first-degree term

x              -10

x              -6

Combine the result

\(\Large\boxed{(x-6)(x-10)}\)

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Answer:

I think that it might be B.

Reflection about the y-axis followed by translation up by 6 units

but I am not really sure

Step-by-step explanation:

Answer:A or c

Step-by-step explanation:

Answer;

(a+12) (a+15)

Answer: not defined

Step-by-step explanation:

using quadratic formula

27 ±√729 -1120/2

= -√391 / 2

not defined

Answer:

x=-1

Step-by-step explanation:

6x-2=4x-4

-4x both sides

2x-2=-4

+2 both sides

2x=-2

divide by 2

x=-1

Answer:

2(3x-1)= 4(x-1)

Open bracket

6x-1= 4x-4

Group like terms

6x-4x= -4+1

2x=-3

Divide both sides by the coefficient of x

X= -3/2

Step-by-step explanation:

Answer:

2,472 / 2 = 1,236

It is to be noted that the area of the Trapezoid is: 28 Feet. See the details of the solution below.

The formula for the area of a regular Trapezoid is:

A = h * ((a+b)/2);

Where

A = Area

a  = Short Base

b = Long Base

h = Height

Following the above formula,

A = 4 * ((5+9)/2)

A = 4 * (14/2)

A = 4 * 7

A = 28 Feet.

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The measure of the angles m∠1 and m∠2 for the polygon are 72° and 54° respectively.

To calculate the sum of interior angles of a polygon, you can use the following formula:

Sum of interior angles = (n-2) x 180 degrees

Where "n" represents the number of sides (or vertices) of the polygon.

Given the 5 sided polygon;

(5 - 2) × 180 = 540

one interior angle = 540/5 = 108°

m∠2 = 108°/2

m∠2 = 54°

m∠1 = 180 - [2(54°)]

m∠1 = 180 - 108

m∠1 = 72°

Therefore, the measure of the angles m∠1 and m∠2 are 72° for the polygon and 54° respectively.

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