Find the vertex when given standard form ….

Answer:

1) 33.333...%

2) 33.333...%

Step-by-step explanation:

4 students out of 12 are wearing all color.

4 students out of 12 are wearing blue shoes.

Answer:

4.25

Step-by-step explanation:

The number is bigger in absolute form

Answer:

Step-by-step explanation:

 Limit    of    (x - 1))/(x^2 - 1)

x---> -1

As x  approaches -1 from negative side ( x < -1) the  limit is -infinity.

As x  approaches -1 from positive  side ( x > -1) the  limit is +infinity

"The limit of a sum of functions is the sum of the limits of those functions".

For the given situation,

The equation is expressed as \(\lim_{x \to \ -1} \frac{x-1}{x^{2}-1 }\)

⇒\(\lim_{x \to \ -1} \frac{x-1}{(x+1)(x-1) }\)

⇒\(\lim_{x \to \ -1} \frac{1}{(x+1) }\)

Apply the limit value in x,

⇒\(\frac{1}{-1+1}\)  = ∞

Hence we can conclude that none of the options given are correct. So option (D) is correct.

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Answer:

one and three ninths tarts.

Step-by-step explanation:

7/9+5/9=12/9. Convert to a mixed number so subtract 9 from 12. 1 3/9

Answer:

1 3/9ths

Step-by-step explanation:

The total distance covered by Jeremy is 1320 m

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

For sapling 1 = No distance is covered.

For sapling 2, distance covered = 10 m

Return distance=10 m

For sapling 3, distance covered =20 m

Return distance=20 m and so on

Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...

Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12

Total distance covered = 122 [2(0) + (12 − 1) 20 ]

Total distance covered = 6 (11)(20) = 1320 m

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Complete question:

There are 12 saplings to be planted in a straight line at an interval of 10 m between

two consecutive saplings. Jeremy can carry only one sapling at a time and he has to

come back to the original point to take the next sapling. He plants 12 saplings in this

manner, planting the first sapling at the original point. After planting all the saplings,

he comes back at the original point,

In the process, what is the total distance that Jeremy covers?

​

When corresponding angles are congruent, the lines are parallel

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles, which means they can be acute, obtuse, exterior, or interior angles. The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

Examples of the corresponding angle are any angles which are formed on the opposite side of the transversal. Now, it should be noted that the transversal can intersect either two parallel line or two non-parallel lines. Thus, corresponding angles can be of two types:

Corresponding angles formed by parallel lines and transversals

Corresponding angles formed by non-parallel lines and transversals

Looking at the image, angle I is congruent to each other. Angle II is congruent with each other as well as angle III.

When corresponding angles are congruent, the lines connecting them must be parallel. This is the only valid or correct options in the task.

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Answer:

Step-by-step explanation:

Answer:

712436 eggs were sold together

Step-by-step explanation:

429,382 + 283,054 = 712436

Answer: y = 2/3 x + 3

Step-by-step explanation:

You are supposed to find y = mx + b.

In that equation y = mx + b, b is the y intercept or the dot that passes through the y axis. The m in the equation is the slope, to find the slope you find the rise over run the simplify it as much as you can.

After changing  the denominators to rename these fractions  the sum is 5/6 .

Given :

If necessary, use / for the fraction bar(s).

We still need to find a way to add these fractions. Now you try.

Change the denominators to rename these fractions and find their sum.

To find sum we need to find LCM of denominators .

Least common multiple :

Least Common Multiple ( LCM ) is a method to find the smallest common multiple between any two or more numbers.

so = 1 / 2 + 1 / 3

LCM of 2 and 3 is 6

= 1 * 3 + 1 * 2 / 6

= 3 + 1 * 2 / 6

= 3 + 2 / 6

= 5 / 6

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Title: The Number of Coins That Teachers Carry with Them

Research Report

1. Research Question: What is the average number of coins carried by teachers?

2. Data Source: The data will be collected directly from teachers in a sample group.

3. Data Collection Instrument: A survey questionnaire will be used to collect the necessary data. The questionnaire will contain questions about the number of coins carried by teachers on a regular basis.

4. Data Type: Numerical data will be obtained, specifically discrete data.

5. Instrument Questions:

a) How many coins do you carry with you on a daily basis?

b) What is the highest number of coins you have carried with you?

6. Completed Instrument: Please find the attached completed survey questionnaire.

7. Data Collection: Data will be gathered from a sample of 20-25 respondents using the survey questionnaire.

8. Tally Marks and Data Table:

Number of Coins Tally

1

2

3

4

5

6

7

8

9

10

Step 2: Representing Data

9. The graph that best represents the data collected would be a bar graph. A bar graph is suitable for displaying discrete numerical data, such as the number of coins carried by teachers. It allows for easy visualization and comparison of the frequencies of different coin quantities.

Graph:

 |          

 |  |        

 |  ||    |  

 |  |||   |  

 |  ||||  |  

 |  ||||  |  

 |  ||||  |  

 |  ||||  |  

 |  ||||  |  

-----+--------+-----

1 5 10 15 20

10. Questions for Interpreting the Graph:

a) What is the most common number of coins carried by teachers?

b) How many teachers carry more than five coins with them?

11. Interpretation:

Based on the bar graph, it can be observed that the most common number of coins carried by teachers is around 4. Additionally, approximately 10 teachers carry more than five coins with them. This information provides insights into the typical coin-carrying habits of teachers within the sample group.

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Answer:

60 slices

Step-by-step explanation:

1 pizza = 10 slices

6 pizzas = 10 slices * 6 = 60 slices

Answer:

  $687.42

Step-by-step explanation:

The total with tax is ...

  (price) + (tax rate)×(price)

  = price(1 +tax rate)

  = $643.95×1.0675 ≈ $687.42 . . . price with tax

Answer:

5 log₅ x − ¼ log₅ (8−x)

log₅ x⁵ − log₅ (8−x)^¼

log₅ x⁵ − log₅ ∜(8−x)

log₅ (x⁵ / ∜(8−x))       is the answer

Step-by-step explanation:

hope this helps

Answer:

\(log_5\biggr(\frac{x^5}{(8-x)^{\frac{1}{4}}}\biggr)\)

Step-by-step explanation:

\(5log_5(x)-\frac{1}{4}log_5(8-x)\\ \\log_5(x^5)-log_5((8-x)^{\frac{1}{4}})\\\\log_5\biggr(\frac{x^5}{(8-x)^{\frac{1}{4}}}\biggr)\)

Answer:

slope= -1

y-intercept is 6

Step-by-step explanation:

slope = y2-y1/ x2-x1

slope = 6-8/ 0-(-2) = -1

y-intercept is 6 because of (0,6), where the points cross y-axis

Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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Answer:

5.8 because of my heart rite

Answer:

He could make 8 strands of 3 blue strands and 4 white strands lights

Answer:

?

Step-by-step explanation:

The Slope-Intercept form of an equation of a line, is:

Where "m" is the slope and "b" the y-intercept.

You know that this line passes through the point (-1,3) and its slope is 2. Then:

Substitute these values into the equation and solve for "b":

Knowing "m" and "b", you can determine that the Slope-Intercept form of the equation of this line, is:

Since the value of "y" is zero when a line intersects the x-axis, you can substiute that value into the equation in Slope-Intercept form and solve for "x", in order to find the x-intercept:

The Standard form of the equation of a the line, is:

Where "A", "B" and "C" are Integers ("A" must be positive).

So, the Standard form of this equation is:

Therefore, the answers are:

a) Slope-Intercept form:

b) Standard form:

c) x-intercept:

d) y-intercept:

Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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Answer:

.15,.2,.39,.7

Step-by-step explanation:

To solve the question, we can plot the two functions on the same graph as shown below

The blue graph is that for the function g(x)

While that of the red graph is that of the function f(x)

We can observe that the graph of g(x) is

Also,

Thus, we can see that

The graph of g(x) is shifted 6 units below and 11 units to the left of the graph f(x)

Thus, option C is correct

Answer:

Step-by-step explanation:

140 pennies is 1 dollar and 40 cents

14 dimes is a dollar equals 140 cents

10 dimes and four nickles equals  75% of a dollar

5 quarters and three nickles equals a dollar and 40 cents

Answer: \((-\infty, 6) \cup (6, \infty)\)

Step-by-step explanation:

Polynomials are continuous for all reals, so we only need to consider the rational part. Since the denominator is undefined at \(x=6\), there is a vertical asymptote at \(x=6\).