x - 5 = 20
x=

I need to know what the x equals

Step-by-step explanation:

The new square has a scale factor of 50%, which means that its dimensions will be 50% of the original dimensions.

The original dimensions were 12 inches long and 12 inches wide, so the new square would be 6 inches long and 6 inches wide.

Answer:

6. Scalene, No congruent sides

7. Isosceles, 2 congruent sides

8. Equilateral, All congruent sides

the equation of the circle is (x + 2)^2 + (y - 3)^2 = 45.

To find the equation of a circle, we need the coordinates of the center and the radius. We can use the distance formula to find the radius of the circle, which is the distance between the center and the point on the circle.

Let (h, k) be the center of the circle, and let (x, y) be any point on the circle. Then the distance formula gives us:

r = √[(x - h)^2 + (y - k)^2]

where r is the radius.

Using the given information, we have:

Center = (-2, 3)

Point on circle = (4, 6)

So the center is (h, k) = (-2, 3), and the point on the circle is (x, y) = (4, 6). Plugging these values into the distance formula, we get:

r = √[(4 - (-2))^2 + (6 - 3)^2] = √[6^2 + 3^2] = √45 = 3√5

Therefore, the equation of the circle with center (-2, 3) and point (4, 6) on it is:

(x - (-2))^2 + (y - 3)^2 = (3√5)^2

Simplifying this equation, we get:

(x + 2)^2 + (y - 3)^2 = 45

what is equation?

An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign (=). Equations are used to represent relationships between variables or quantities, and they are a fundamental tool in many areas of mathematics, science, and engineering.

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Answer: B

explanation: I took the test ^w^

If Nina babysat for 5 hours,  then she earn 141 of money and option B choice correctly identifies the extraneous information in the problem

Two or more expressions with an Equal sign is called as Equation.

Given that Anna babysat 2 children on Saturday night.

She charges $8 an hour to babysit

She wants to save the money she earns babysitting to buy a stereo system that cost $225

If Nina babysat for 5 hours,  then we need to find how much money money did she earn.

8/225=5/x

Apply cross multiplication

8x=225(5)

8x=1125

x=1125/8

x=140.6=141

Hence, If Nina babysat for 5 hours,  then she earn 141 of money and option B choice correctly identifies the extraneous information in the problem

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Answer:

x = 13/12

Step-by-step explanation:

explain on image

To determine an expression in terms of m and l for the moment of inertia of the masses about axis a, we need some additional information about the configuration of the masses and the axis.

The moment of inertia depends on the distribution of masses relative to the axis of rotation. It is a measure of an object's resistance to rotational motion. The formula for the moment of inertia varies depending on the specific shape and distribution of masses.

If you can provide more details about the arrangement of masses and the axis of rotation, I can help you derive the expression for the moment of inertia in terms of m and l.

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Answer:

Step-by-step explanation:

Answer:

Tori studies 4 subjects (including Chemistry)

Answer:

-

Step-by-step explanation:

Domain = x

{ 4, 8, 1, -3 }

-

Range = y

{ 9, 13, 1, -8 }

The value of x which makes the given expression 1/2(3x+4) = 1/2x true is -2

We have to simplify the given expression to find the value of x

1/2(3x + 4) = 1/2x

Cancel 1/2 from both sides

⇒ 3x + 4 = x

⇒ 2x = -4

⇒ x = -2

Hence, the value of x is -2 which makes the given expression true.

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Answer: 6 hours

Step-by-step explanation:

6.5x = 39

6=x

By fractions, 9/20 quarts of lemonade concentrate is needed to make lemonade for 24 people.

What are the names of fractions  numerical expression in mathematics known as a quotient, where a numerator and a denominator are split in half. Both are integers in a simple fraction. Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator of a proper fraction is less than the denominator.

Let x= the number of quarts of lemonade concentrate needed for 24 people. In this question " 20/3 quarts of water" was unnecessary information.

40x=24*(3/4)​

Cross products

x=24⋅ (3/4) ⋅ (1/40)= 9/20

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To find the sum of the vertex angles in various polygons, we need to sketch the polygons and then calculate the sum. For a hexagon, octagon, and dodecagon, the sums of the vertex angles are 720°, 1,080°, and 1,800°, respectively.

a. Hexagon: A hexagon is a polygon with six sides. To find the sum of the vertex angles, we can divide the hexagon into triangles. Since each triangle has an interior angle sum of 180°, the hexagon can be divided into four triangles. Therefore, the sum of the vertex angles in a hexagon is 4 * 180° = 720°.

b. Octagon: An octagon is a polygon with eight sides. Similar to the hexagon, we can divide the octagon into triangles. Dividing it into six triangles, each with an interior angle sum of 180°, the sum of the vertex angles in an octagon is 6 * 180° = 1,080°.

c. Dodecagon: A dodecagon is a polygon with twelve sides. Dividing it into ten triangles, each with an interior angle sum of 180°, the sum of the vertex angles in a dodecagon is 10 * 180° = 1,800°.

Therefore, the sum of the vertex angles in a hexagon is 720°, in an octagon is 1,080°, and in a dodecagon is 1,800°.

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Find the sum of the vertex angles of the following polygons---

a. A hexagon

b. An octagon

c. A dodecagon.

Answer: 49°

Step-by-step explanation:

ABC = 41°

A complementary angle is when 2 or more angles sum to 90°

90-41

= 49°

(a) 95% confidence interval for the difference between female and male times is (11.954, 255.591).

(b) The assumptions and conditions for the two-sample t-test are met, so we can use the results of the test and confidence interval.

a) To construct a 95% confidence interval for the difference between female and male times, we can use a two-sample t-test. Let's denote the mean time for female swimmers as μf and the mean time for male swimmers as μm. We want to test the null hypothesis that there is no difference between the two means (i.e., μf - μm = 0) against the alternative hypothesis that there is a difference (i.e., μf - μm ≠ 0).

The formula for the two-sample t-test is:

t = (Xf - Xm - 0) / [sqrt((s^2f / nf) + (s^2m / nm))]

where Xf and Xm are the sample means for female and male swimmers, sf and sm are the sample standard deviations for female and male swimmers, and nf and nm are the sample sizes for female and male swimmers, respectively.

Using the data from the plots, we get:

Xf = 917.5, sf = 348.0137, nf = 15

Xm = 783.7273, sm = 276.0625, nm = 28

Plugging in these values, we get:

t = (917.5 - 783.7273 - 0) / [sqrt((348.0137^2 / 15) + (276.0625^2 / 28))] = 2.4895

Using a t-distribution with (15+28-2) = 41 degrees of freedom and a 95% confidence level, we can look up the critical t-value from a t-table or use a calculator. The critical t-value is approximately 2.021.

The confidence interval for the difference between female and male times is:

(917.5 - 783.7273) ± (2.021)(sqrt((348.0137^2 / 15) + (276.0625^2 / 28)))

= 133.7727 ± 121.8187

= (11.954, 255.591)

Therefore, we can be 95% confident that the true difference between female and male times is between 11.954 and 255.591 minutes.

b) Assumptions and conditions for the two-sample t-test:

Independence, We assume that the observations for each group are independent of each other.

Normality, We assume that the populations from which the samples were drawn are approximately normally distributed. Since the sample sizes are relatively large (15 and 28), we can rely on the central limit theorem to assume normality.

Equal variances, We assume that the population variances for the female and male swimmers are equal. We can test this assumption using the F-test for equality of variances. The test statistic is,

F = s^2f / s^2m

where s^2f and s^2m are the sample variances for female and male swimmers, respectively. If the p-value for the F-test is less than 0.05, we reject the null hypothesis of equal variances. If not, we can assume equal variances. In this case, the F-test yields a p-value of 0.402, so we can assume equal variances.

Sample size, The sample sizes are both greater than 30, so we can assume that the t-distribution is approximately normal.

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Step 1: Write out the expression to simplify

Step 2: Remove the bracket using distribution property

Step 3: Rewrite the resulting expression in order of degree and state the degree and the number of terms

The degree is 3 (third degree) as the highest power of the variable is 3, there are three terms in the expression

Hence, the expression is a cubic expression (degree 3) and a trinomial (3 terms)

The lengths of the two segments, bar (JK) and bar (KM), are as follows:

1. Length of bar (JK): |JK| = |-4 - (-10.5)| = |-4 + 10.5| = |6.5| = 6.5 units.

2. Length of bar (KM): |KM| = |1.5 - (-4)| = |1.5 + 4| = |5.5| = 5.5 units.

The two segments, bar (JK) and bar (KM), are not congruent because their lengths are different.

To find the length of a line segment on a number line, we take the absolute value of the difference between the coordinates of the two endpoints.

For bar (JK), we subtract the coordinate of point J from the coordinate of point K. The difference is -4 - (-10.5) = -4 + 10.5 = 6.5 units.

For bar (KM), we subtract the coordinate of point K from the coordinate of point M. The difference is 1.5 - (-4) = 1.5 + 4 = 5.5 units.

Since the lengths of bar (JK) and bar (KM) are 6.5 units and 5.5 units, respectively, they are not congruent.

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Step-by-step explanation:

How do you find the speed of a falling object?

Calculate the final free fall speed (just before hitting the ground) with the formula v = g*t = 9.80665 * 8 = 78.45 m/s. Find the distance traveled by the falling object, using the equation s = 0.5 * g * t^2 = 0.5 * 9.80665 * 8^2 = 313.8 m.

Answer:

4.5

Step-by-step explanation:

4.5 x 2 = 9

very simple

The range of the function for this situation is the interval [398.25, 400] gallons.

To determine the range of the function f(x) = 400 - 0.35x for the given situation, we need to find the possible values of the amount of water remaining in the pool.

The function f(x) represents the amount of water remaining (in gallons) after x minutes, where x ranges from 0 to 5.

To find the range of the function, we evaluate f(x) for the extreme values of x in the given range (0 to 5).

For x = 0, the initial amount of water remaining:

f(0) = 400 - 0.35(0) = 400 gallons

For x = 5, the amount of water remaining after 5 minutes:

f(5) = 400 - 0.35(5) = 400 - 1.75 = 398.25 gallons

Therefore, the range of the function for this situation is the interval [398.25, 400] gallons.

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The value of the definite integral of f(x) over the interval [-5, 5] is -13.

We are given two definite integrals:

\(\int_{-5}^{2}\)f(x) dx = -17

and

\(\int_{5}^{3}\) f(x) dx = -4

The first integral represents the area under the curve of f(x) from x = -5 to x = 2. The second integral represents the area under the curve of f(x) from x = 5 to x = 3. Note that the limits of integration for the second integral are in the reverse order, which means that the area is negative.

Now, we want to find the value of the definite integral of f(x) over the interval [-5, 5]. We can split this interval into two parts: [-5, 2] and [2, 5].

Using the first given integral, we know that the area under the curve of f(x) from x = -5 to x = 2 is -17.

Using the second given integral, we know that the area under the curve of f(x) from x = 5 to x = 3 is -4, which means that the area under the curve of f(x) from x = 3 to x = 5 is 4.

So, the area under the curve of f(x) from x = -5 to x = 5 is the sum of the areas under the curve of f(x) from x = -5 to x = 2 and from x = 3 to x = 5. Mathematically, we can write this as:

\(\int_{-5}^{5}\) f(x) dx = \(\int_{-5}^{2}\) f(x) dx + \(\int_{3}^{5}\) f(x) dx

Substituting the given values, we get:

\(\int_{-5}^{5}\) f(x) dx = -17 + 4 = -13

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Given the movement of the ship, it can be respresented by the image below:

The distance from its starting point in a direct line is represented with x and can be calculated using Pythagoras Theorem as follow:

To get the hypotenuse, we have:

Hence, the ship is approximately 19.9km away from the starting point in a direct line.

Answer: B

Step-by-step explanation: The tomato grows more over time so it will be a positive..

The height of a tomato plant throughout the year shows a positive linear correlation coefficient option (B) is correct.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

\(\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}\)

A. grade point average compared to the number of hours a student watches TV.

The grade points depend on the number of hours a student watches TV.

If watching time increases the grade point decreases.

B. the height of a tomato plant throughout the year

The height of a tomato and the number of years show a positive linear correlation.

C. a person's salary compared to the amount of education they have attempted:

The above situation represents an exponential regression.

D. SAT scores compared to hours spent studying

If the time spent in studying increases the SAT scores increases rapidly.

Thus, the height of a tomato plant throughout the year shows a positive linear correlation coefficient option (B) is correct.

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Answer: B

Step-by-step explanation:

(-3)= 2/3(3) -5

-3 = 6/3 - 5

-3 = 2 - 5

-3 = -3

TRUE

-2(3) + 3(-3) =-15

-6 - 9 = -15

-15 = -15

TRUE

Answer:

in total she would spend 27.90 so she should bring C i got this by doing 7.80 x 3 because she is buying 3 medium pizzas then i did 0.75 x 6 and got 27.90 so at least bring 25-30 dollars with her

Step-by-step explanation:

The best linear equation that describes the given model is Choice C: \(\hat y = -2x + 40\). the nearest tenth of a percent, the estimated percent of adults who smoked in 1997 is -3954%..

This equation represents a negative linear association, indicating that as the years (x) increase, the estimated percent of adults who smoke (\(\hat y\)) decreases. The slope of -2 suggests that for every one unit increase in x (year), the estimated percent of adults who smoke decreases by two units.

To estimate the percent of adults who smoked in 1997, we can substitute x = 1997 into the equation:

\(\hat y = -2(1997) + 40\)

\(\hat y = -3994 + 40\)

\(\hat y = -3954\)

Rounding to the nearest tenth of a percent, the estimated percent of adults who smoked in 1997 is -3954%. However, negative percentages don't make sense in this context, so we can assume that there may be an error or limitation in the model or data that leads to this unrealistic result.

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Answer:

21

Step-by-step explanation:

31-2=29-2=27-2=25-2=23-2=21

Answer:

nth term is 2 || rule : subtracting 2

Step-by-step explanation:

nth= an= 2n

31-29=2

29-27=2

27-25=2

23-21=2

.....

Given:

1st graph suits the equation.

Above graph is the final answer.

Based on the graph of the system of two linear inequalities, we can determine whether each point is located in the solution region as follows:

The point (-8, 15) is located in the solution region.

The point (-6, -25) is not located in the solution region.

The point (-10, -40) is located in the solution region.

Note that a point is located in the solution region if it satisfies both inequalities simultaneously, which means it is located in the shaded region on the graph.

Conversely, a point is not located in the solution region if it violates at least one of the inequalities, which means it is located outside the shaded region.

Thus, this can be concluded regarding the given graph.

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Answer:

Both rectangles and squares have four sides of equal length