Figure A is dilated by a scale factor of 1 to form Figure B.
What is the length of x?
4 inches
Figure A
Figure B
2 inches
16 inches
16 inches
8 inches

Answer:

yes

Step-by-step explanation:

I'm Semi I stay automatic

Money add then multiply

I call that mathe-mat-a-matics

Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

Answer:

W2z

Step-by-step explanation:

becuase

a) The result is false, indicating that the point (0, 0) does not lie on Line 2. The distance between the lines is undefined since they do not intersect.

b) The distance between the point (3, 5) and the line 4x + 3y = -6 is approximately 4.2 units.

To find the distance between two lines, we can use the formula derived from the distance between a point and a line.

The formula states that the distance between two lines is equal to the perpendicular distance between any point on one line and the other line.

Given the equations of the lines:

Line 1: 4x - 6y = 10

Line 2: -2x + 3y = 5

Let's find the point of intersection between these two lines.

We can solve the system of equations:

4x - 6y = 10 ...(1)

-2x + 3y = 5 ...(2)

Multiplying equation (2) by 2, we get:

-4x + 6y = 10 ...(3)

Adding equations (1) and (3), we have:

0 = 20

The result is an inconsistent system, indicating that the lines are parallel and do not intersect.

Since the lines are parallel, the distance between them is constant.

To find this distance, we can select any point on one of the lines and substitute it into the equation of the other line.

Let's consider the point (0, 0) on Line 1:

-2(0) + 3(0) = 5

0 = 5

b) To find the distance between a point and a line, we can use the formula for the perpendicular distance between a point and a line.

The formula states that the distance between a point (x₀, y₀) and a line Ax + By + C = 0 is given by:

d = |Ax₀ + By₀ + C| / √(A² + B²)

Given the point (3, 5) and the line 4x + 3y = -6, we can calculate the distance using the formula:

A = 4, B = 3, C = -6, x₀ = 3, y₀ = 5

Substituting these values into the formula, we get:

d = |4(3) + 3(5) + (-6)| / √(4² + 3²)

= |12 + 15 - 6| / √(16 + 9)

= |21| / √25

= 21 / 5

= 4.2

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Answer:

b = 10.5

Step-by-step explanation:

2(b-9) = 3

then:

2*b + 2*-9 = 3

2b - 18 = 3

2b = 3 + 18

2b = 21

b = 21/2

b = 10.5

check:

2(10.5 - 9) = 3

2*1.5 = 3

Answer: -364

Step-by-step explanation:

This is a geometric sequence with first term 2, common ratio -3, and 6 terms.

\(S_{6}=\frac{2(1-(-3)^{6}}{1-(-3)}=\boxed{-364}\)

Let's label the arcs in the circle to be precise.

From the illustration, we can see that the inscribed angle x has intercepted the Arc AB.

Based on the theorem, the measure of the inscribed angles is half the measure of its intercepted arc. Hence, we can say that:

To find the measure of angle x, we need to know first the measure of arc AB.

Notice in the diagram, Arc AB + Arc BC is a semicircle. The total measure of the angles in a semicircle is 180 degrees.

Since we know that Arc BC = 122 degrees, we can subtract this from 180 to get the measure of Arc AB.

Hence, the measure of Arc AB is 58 degrees.

Going back to the equation we have formed based on the theorem about inscribed angles, we can plug in the measure of Arc AB and solve for x.

Hence, the measure of the inscribed angle x is 29 degrees.

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

             {4,  6}

      C) -  The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

MAKE A PLAN:

List The OUTCOMES for EACH EVENT and their COMBINATIONS:

        a) -  EVENT  "A":  {2, 4, 6, 8}

               EVENT "B":   {3, 4, 5, 6}

               EVENT "A" or "B": {2, 3, 4, 5, 6, 8}

        b) - EVENT "A"  or "B":  {4, 6}

        c) -  The COMPLEMENT of the EVENT "A":  {1, 3, 5, 7}

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

            {4,  6}

      C) - The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

I hope this helps!

The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

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Answer: i might become a celeb but who knows

Step-by-step explanation:

Step-by-step explanation:

let's do this in 2 steps :

1. go for 1×10⁴ math problems

2. multiply that result by 5 to fully cover 5×10⁴

1.

3.5×10^-5 × 1×10⁴ = 3.5×10^-1

2.

5 × 3.5×10^-1 = 16.5×10^-1 = 1.65×10⁰

so, the computer needs 1.65×10⁰ or simply 1.65 seconds.

Solving a system of equations we will see that Hari has 800 and Ram has 600.

Let's define the variables:

We know that:

(2/3)*R = (1/2)*H

We also know that in total they have 1400, then:

R + H = 1400.

So we have the system of equations:

(2/3)*R = (1/2)*H

R + H = 1400.

In the first equation we can isolate R.

R = (3/2)*(1/2)*H = (3/4)*H

Now we can replace that in the other equation:

(3/4)*H + H  =1400

H*(7/4) = 1400

H = (4/7)*1400 = 800

So Hari has 800, and:

R + H = 1400

R = 1400 - H = 1400 - 800 = 600

Hari has 800 and Ram has 600.

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Step-by-step explanation:

-181+485=304

-146-(-181)=35

The series 1/2 + 1/5 + 1/10 + 1/17 + 1/26 + ... converges

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

1/2 + 1/5 + 1/10 + 1/17 + 1/26.....

To apply the Integral test to given series, we can compare it to the area under the function 1/x.

As a general rule, the function 1/x is a decreasing function on the interval (1, ∞),

This means that the series converges.

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The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.

To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:

r = √(x² + y²)

θ = tan^⁻1(y/x)

Plugging in the given values of (-√2,1), we get:

r = √((-√2)² + 1²) = √(2 + 1) = √3

θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians

Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:

θ ≈ 2.0344 + π ≈ 5.1779 radians

Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).

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Answer:

-2x+10

Step-by-step explanation:

-2(x-5)

Distribute

-2*x -2*-5

-2x+10

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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The set of angles can form a triangle is 2 A. acute and 1 right.

When we are considering the angle that is Less than 90 degrees i then that is an acute angle measurement. Right angles are 90 degrees in length. Angles that are obtuse are more than 90 degrees. Discover the various sorts of angles and examples of each.

It should be noted that right angle  is one angle in geometry and trigonometry that is exactly 90 degrees, however the adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.

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*see attachement for the diagram of the tissue paper

Answer:

Volume of the roll = 3,817.04 cm³

Step-by-step explanation:

The diagram of the roll of the tissue paper given is a model of two cylinders:

✔️Bigger cylinder with diameter (d) of 14 cm and height of 27 cm

✔️ Smaller/inner cylinder with diameter (d) of 4 cm and height of 27 cm

Thus:

The Volume of the roll = volume of bigger cylinder - volume of smaller cylinder

✔️Volume of bigger cylinder = πr²h

r = ½(14) = 7 cm

h = 27 cm

Volume of bigger cylinder = π*7²*27

= 4156.33 cm³

✔️Volume of smaller/inner cylinder = πr²h

r = ½(4) = 2 cm

h = 27 cm

Volume of smaller/inner cylinder = π*2²*27

= 339.29 cm³

✅The Volume of the roll = 4156.33 - 339.29 = 3,817.04 cm³

Answer:

4 pieces 1/3 of a yard left over

The presence of a correlation between statistical variables is an indication

of the existence of a relationship variables, it however, does not imply

direct causation.

Part one:

The similarities of the graphs are;

The differences are;

Second part;

The HOA president's petition is in line with the social media post based on the graph.

The graph shows a strong correlation between murder rates and ice cream sales, however, selling ice cream, and murder are unrelated events.

The correlation between the sale of ice cream and murder is an indication of the existence of a common third factor.

Based on the time of the year dependence of the two variables, which corresponds to hot and cold weather, there is a correlation of both the murder rate and ice cream sales with temperature.

Therefore, the HOA president is not right for doing so

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The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

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The missing term in the second pair is YUL.

To determine the relationship between the first two terms, let's analyze the given pattern: AZP : ZAR.

If we look closely, we can observe that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.

So, applying the same pattern to the second pair (TXK), we need to shift each letter one position forward in the alphabet:

T + 1 = U

X + 1 = Y

K + 1 = L

Therefore, the missing term in the second pair is YUL.

The analogy between the pairs is that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.

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Answer: $7.00

Step-by-step explanation: It says it costs $20 for up to 10 e-books downloads each month. And she downloaded 20 e-books and was charged $90. This means you need to do $90 - $20= $70. But, it wants to know the Cost of each additional download. So you would do 70 divided by 10, which equals 7.

Answer:

2 3/4 in.

Step-by-step explanation:

66/6 = 11

11(1/4) = 11/4

11/4 = 2 3/4

Answer:

the answer to the problem is h=7

The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.

This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).

In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.

Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

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