How should I show my work? (The answers are there, I just need to know how to show the work) NO LINKS

Answer:

x = 41 , y = 139

Step-by-step explanation:

x and 41° are alternate exterior angles and are congruent , so

x = 41

x and y are a linear pair and sum to 180° , that is

x + y = 180

41 + y = 180 ( subtract 41 from both sides )

y = 139

The concentration of ethanol after dilution would be approximately 0.286 M, with an allowed error of +/- 0.005.

To calculate the final concentration of ethanol after dilution, we can use the formula C1V1 = C2V2. In this case, the initial concentration (C1) is 1.0 M, and the initial volume (V1) is 20 mL. The final volume (V2) is the sum of the initial volume (20 mL) and the volume of water added (50.0 mL), which is 70.0 mL.

Substituting these values into the formula, we have (1.0 M)(20 mL) = C2(70.0 mL). Solving for C2, we get C2 = (1.0 M)(20 mL) / (70.0 mL).

Calculating the expression on the right side, C2 = 0.2857 M.

Therefore, after dilution, the concentration of ethanol in the solution would be approximately 0.286 M.

Considering the allowed error of +/- 0.005, the final concentration would fall within the range of 0.281 M to 0.291 M.

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Using the property of geometry and using a parallelogram , We can prove that the opposite sides of parallelograms are congruent.

What is a parallelogram?

In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides. The opposite sides and the opposite angles of a parallelogram are of equal length. A parallelogram is a special kind of quadrilateral with both pairs of its opposite sides parallel and equal.

What are the 4 types of parallelograms?

There are 4 types of parallelograms with 3 special types.

They are:

parallelograms

squares

rectangles

rhombuses.

According to the given question:

Let ABCD be a parallelogram where AB and CD are in opposition to each other, while BC and AD are.

According to the definition of a parallelogram, section BC is parallel to segment AD since ABCD is a parallelogram.

The definition of a parallelogram is that segment AB is parallel to segment DC.

Segments BC and AD are transverse to line AC. As demonstrated below, this transversal generates alternate interior angles that are equal.

In the same way, segment AB and segment DC are transversals for line AC. This transversal generates equal alternate interior angles.

Segment AC is also divided into segments by its reflexive property.

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Answer:

0.4545 Repeating

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

Assuming that both 6x and 120 are equal to each other, you can use simple algebra to find out what x is

6x = 120 (divide both sides by 6 to isolate x)

x = 20

Answer:

x = - 21

Step-by-step explanation:

\(\frac{-12+x}{11}\) = - 3 ( multiply both sides by 11 to clear the fraction )

- 12 + x = 11 × - 3 = - 33 ( add 12 to both sides )

x = - 21

Answer: 66

100.80 - (4x3.45) = 87

87/5 = 17.4

Jason - 17.4

Joel - 17.4+3.45

John - 17.4+3.45 x 4

83.4 - 17.4 = 66

Answer:

\(-\frac{1}{8}\)

Step-by-step explanation:

y=mx+b

m= slope (rise over run)

The slope of y=8x+5 is \(\frac{8}{1}\)

When a line is perpendicular, the slope is the opposite reciprocal.

\(\frac{8}{1}\) would be flipped to \(-\frac{1}{8}\)

Answer:

$17499.25

Step-by-step explanation:

349,985*0.05=17499.25

Answer:

\(73\%\)

Step-by-step explanation:

Given: Present weight of Caleb’s puppy = 2,250 grams

Puppy weighed 600 grams at his last visit to the veterinarian’s office.

To find: percent increase in the puppy’s weight rounded to the nearest whole number

Solution:

Increase in puppy's weight = 2250 - 600 = 1650 grams

Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = \(\frac{1650}{2250}(100)=73.33 \%\)

\(73.33\%\) is rounded to \(73\%\)

To place these numbers on a number line, we need to first understand the concept of a number line.

A number line is a visual representation of numbers, where each point on the line corresponds to a number. Numbers to the right of zero are positive, and numbers to the left of zero are negative.

Let's begin by placing -3 on the number line. Since -3 is a negative number, it will be placed to the left of zero. We can mark a point on the line and label it as -3.

Next, let's place -2.1 on the number line. Again, since -2.1 is a negative number, it will be placed to the left of zero. We can mark a point on the line and label it as -2.1.

Moving on to the next number, 0.42, this is a positive number and will be placed to the right of zero. We can mark a point on the line and label it as 0.42.

Finally, let's place -0.75 on the number line. Since -0.75 is a negative number, it will be placed to the left of zero. We can mark a point on the line and label it as -0.75.

So, the numbers -3, -2.1, -0.75, and 0.42 are placed on the number line as follows:

-3 ----- (-2.1) -------- (-0.75) ---------- 0 -------------- 0.42

In summary, placing numbers on a number line helps us visualize their relative positions and understand their magnitudes.

By using the concept of positive and negative numbers, we can place any number on the number line with ease.

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An abstract data type, Poly with three private data members a, b and c (type double) to represent the coefficients of a quadratic polynomial in the form are defined

By encapsulating the coefficients as private data members, we ensure that they can only be accessed or modified through specific methods provided by the Poly ADT. This encapsulation promotes data integrity and allows for controlled manipulation of the polynomial.

The Poly ADT supports various operations that can be performed on a quadratic polynomial. Some of the common operations include:

Initialization: The Poly ADT provides a method to initialize the polynomial by setting the values of 'a', 'b', and 'c' based on user input or default values.

Evaluation: Given a value of 'x', the Poly ADT allows you to evaluate the polynomial by substituting 'x' into the expression ax² + bx + c. The result gives you the value of the polynomial at that particular point.

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Answer:

y=33x-4

Step-by-step explanation:

Not always. There are some situations where 2 lines have the same y-intercept, but have infinite solutions. But, most of the time, yes.

---

sorry if this doesn't help

Answer:

always two line will intersect only once. if they have the same y intercepts then that is their point of intersection. these lines are perpendicular because their slopes are negative reciprocals of each other. as can be seen on the graph, their only point of intersection is at the y intercept.

Answer:

23,000

Step-by-step explanation:

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The rate of change in the given graph is 21/4.

The rate of change defines the speed of a variable changes over another variable. On the given graph, we can calculate the rate of change using the formula:

Rate of change = Δy / Δx

To calculate the rate of change of the given graph, we need to identify 2 points first. We take:

(0, 0)

(4, 21)

Rate of change = Δy / Δx

Rate of change = y₂ - y₁

                             x₂ - x₁

Rate of change = 21 - 0

                               4 - 0

Rate of change = 21/4

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Therefore, the limit as n approaches the infinity of bn is 0.

The given series is : \[\sum_{n = 0}^{\infty} \frac{\sin(n)}{2^{n+1}}\]

To determine whether the given series is convergent or divergent, we will use the alternating series test. In this test, we will check two conditions:

First, the series must be alternating; that is, the sign of each term should alternate.

Second, the absolute value of each term must decrease or approach zero as n increases.

The series is alternating since the sine function alternates between positive and negative values.

Now, we can examine the absolute value of the terms.

We have: \[\left| \frac{\sin(n)}{2^{n+1}} \right| = \frac{|\sin(n)|}{2^{n+1}} \leq \frac{1}{2^{n+1}}\]

Thus, we can see that the terms approach zero since the denominator grows much faster than the numerator.

Therefore, we can conclude that the given series converges.

To identify bn, we have:\[b_n = \frac{1}{2^{n+1}}\]

To find the limit as n approaches infinity, we can use the formula:\[\lim_{n \to \infty} b_n = 0\]

Therefore, the limit as n approaches the infinity of bn is 0.

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Step-by-step explanation:

#1

9^2-1

(9×9)-1

81-1

80

#2

10(19-4^2)

10(19-16)

10(3)

30

Answer:

1. 80

2. 30

3. 15

Step-by-step explanation:

1. 9^2=81 ...81-1=80

2. 4^2= 16 so..10(19-16)-> 10(3)= 30

3. 3^2= 9 so... 7+9-1-> 7+9=16 16-1=15

Answer:

3 ways

Step-by-step explanation:

Since 6 will remain constant throughout the testing, we just need to find all prime numbers 1-6.

1 - is not prime nor composite

2 - is prime

3 - is prime

4 - 2x2=4, so composite

5 - is prime

6 - 2x3=6, so composite

Therefore, 2, 3, and 5 are prime numbers, and there are 3 of them.

Answer:

3 ways

Step-by-step explanation:

2 , 3 and 5 are prime numbers.

Answer:

Below!

Step-by-step explanation:

To find the volume of a cylinder, you can use this formula : v = πr^2h

r = 12km , h = 7 km

v = π(12km)^2(7)

  = 3166.72539

Round to the nearest 10th

  = 3166.7 km^3

Hope this helps! Best of luck <3

For the first data set representing the number of marbles owned by fifteen different boys:

a) To find the 1st quartile, we arrange the data in ascending order: 13, 20, 33, 51, 55, 58, 64, 69, 70, 80, 86, 88, 93, 94, 99. The 1st quartile is the median of the lower half of the data, which is the median of the first seven numbers. So, the 1st quartile is 58.

b) The 2nd quartile is the median of the entire data set. Since there are 15 data points, the median is the 8th value, which is 69.

c) To find the 3rd quartile, we take the median of the upper half of the data, which is the median of the last seven numbers. So, the 3rd quartile is 93.

d) The box-and-whisker plot represents the minimum value (13), the 1st quartile (58), the median (69), the 3rd quartile (93), and the maximum value (99), with a box indicating the interquartile range (IQR).

For the second data set representing the number of telephone calls made by eighteen executives:

a) The 1st decile is the value below which 10% of the data lies. So, 10% of 18 is 1.8. Since we can't have a fraction of a telephone call, the 1st decile is the second value, which is 10.

b) P34 represents the 34th percentile, which is the value below which 34% of the data lies. So, 34% of 18 is 6.12. Since we can't have a fraction of a telephone call, P34 is the seventh value, which is 15.

c) The median is the value that separates the data into two equal halves. Since there are 18 data points, the median is the average of the ninth and tenth values, which is (18 + 22) / 2 = 20.

d) The third quartile is the value below which 75% of the data lies. So, 75% of 18 is 13.5. Since we can't have a fraction of a telephone call, the third quartile is the fourteenth value, which is 35.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

a.3/17

b.14/17

Step-by-step explanation:

a. formula =Number of favourable outcome/Total number of outcome =3/17

b.14/17

The presents of 1/4 and 1/2 rounded to the nearest tenth are 25.0% and 50.0%.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

To find the percentage of 1/4 and 1/2, we need to divide each fraction by 1 and then multiply by 100.

So,

1/4

= 1/4 x 100

= 0.25 x 100

= 25%

And,

1/2 x 100

= 0.5 x 100

= 50%

Now,

Rounding 25% and 50% to the nearest tenth.

25% rounded to the nearest tenth.

= 25.0%

50% rounded to the nearest tenth.

= 50.0%

Thus,

The presents of 1/4 and 1/2 rounded to the nearest tenth are 25.0% and 50.0%.

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Answer:

x = -4, 10

Step-by-step explanation:

We take the square root and use the fact of "plus-minus" and find two values of x. The process of solving this equation is shown below:

\((x-3)^2=49\)

\(\sqrt{(x-3)^2} =\sqrt{49}\)

\(x-3=+-7\)

\(x=3+7=10\)

\(x=3-7=-4\)

Hence the two values of x are -4 and 10

Note: both (-7)^2 and (7)^2 are 49 . So we took "plus-minus" values of \(\sqrt{49}\)

Answer:

2.098 seconds

Step-by-step explanation: