Write the abscissa and ordinate of the following points
i) A(0,5)
ii) B(8,6)

Answer:

0.1

Step-by-step explanation:

hwhhehhejejeejjrjr

The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

unbiased nonrandom

Step-by-step explanation:

By picking only people from 1st period they are not random.

They haven't said anything that would make these people biased.

Answer:

unbiased nonrandom

Step-by-step explanation:

Answer:

$79.82 (to 2 d.p.)

Step-by-step explanation:

100%=$74.95

1%=$74.95÷100

=$0.7495

100%+6.5%=106.5%

106.5%=$0.7495×106.5

=$79.82 (to 2 d.p.)

Answer:

11

Step-by-step explanation:

Given the following question:

\(17,9,11,7\)

To find the mean of any given data set we need to add all the values together and then divide that answer by the total amount of values in the data set.

\(17,9,11,7\)
\(17+9+11+7\)
\(9+11=20\)
\(20+17=37\)
\(37+7=44\)
\(=44\)

Now divide the answer by the total amount of values:
\(44\)
\(a=4\)
\(44\div4=11\)
\(m=11\)

Which means the mean of this given data set is "11."

Hope this helps.

Answer:

Step-by-step explanation:

The mean is the average number of the data.

To calculate the mean of the data, divide the sum of the data by the total numbers in the data. The quotient will be the average of the data.

\(\dfrac{17 + 9 + 11 + 7}{\text{Total digits in the data}}\)

We can see 4 digits included in the data. Thus, the sum of the data will be divided by 4.

\(\dfrac{17 + 9 + 11 + 7}{4}\)

Now, let's solve for the mean.

\(\dfrac{17 + 20 + 7}{4}\)

\(\dfrac{44}{4} = 11\)

Thus, 11 is the mean.

Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1  

Answer:

  \(\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}\)

Step-by-step explanation:

The first term is 5 and the common ratio is -2. The general term for n starting at 1 can be written as ...

  an = a1·r^(n-1)

If we start n at 0, then we can eliminate the -1 from the exponent:

  \(\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}\)

Answer:

486

Step-by-step explanation:

area of a cube =6x²

length= 9

area=6×9²

=6×81

=486

Answer:

6.5

Step-by-step explanation:

In this question, we are tasked with calculating the mean temperature for the first 8 days.

since we we have the mean temperature for the first 7 days, the total temperature is thus 7 * 6 = 42

Now, on the 8th day, temperature is 10, this brings total temperature to 42 + 10 = 52

The mean temperature for the first 8 days ys therefore; 52/8 = 6.5

The probability of picking a butterfly design when Sara has a box of 12 greeting cards is 1/3.

Your information is incomplete as the statements aren't given. Therefore, an overview will be given.

From the information, Sara has a box of 12 greeting cards. The probability of picking a butterfly design will be:

= 4/12 = 1/3

The probability of picking a butterfly or flower design will be:

= 4/12 + 4/12

= 8/12

= 2/3

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Applying the midsegment theorem, the length of segment SR is: 6 units.

The Midsegment theorem states that if a segment is draw to connect the two midpoints of two sides of a triangle together, it is parallel to the third side of the triangle and also has a length measure that is half of the length of the third side of the triangle.

Segment SR is the midsegment of the triangle given and is parallel to the third side, FD.

SR = 2x - 14

FD = x + 2

Therefore:

SR = 1/2(FD) [midsegment theorem]

Substitute

2x - 14 = 1/2(x + 2)

2(2x - 14) = x + 2

4x - 28 = x + 2

4x - x = 28 + 2

3x = 30

x = 30/3

x = 10.

Length of SR = 2x - 14 = 2(10) - 14

Length of SR = 6 units

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Answer:

12 units

Step-by-step explanation:

iStar Financial (STAR) has a lower PE ratio than Bank Rate (RATE), which suggests that it may be financially stronger

To determine which company is financially stronger using their PE ratios, we need to calculate the PE ratio for each company. PE ratio, or price-to-earnings ratio, is a financial metric used to measure the valuation of a company's stock. It is calculated by dividing the market price per share by the earnings per share.

For Bank Rate (RATE), the PE ratio can be calculated as:

PE ratio = market price per share / earnings per share

PE ratio = $13.95 / $2.71

PE ratio = 5.14

For iStar Financial (STAR), the PE ratio can be calculated as:

PE ratio = market price per share / earnings per share

PE ratio = $12.18 / $3.62

PE ratio = 3.37

A lower PE ratio indicates that a company's stock is relatively undervalued compared to its earnings. In this case, iStar Financial (STAR) has a lower PE ratio than Bank Rate (RATE), which suggests that it may be financially stronger.

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It would cost approximately $1.10 to use the clothes washer.

To calculate the cost of using the clothes washer, you'll need to multiply the energy usage (in kilowatts) by the duration (in hours) and the cost per kilowatt-hour. In this case, the clothes washer used 2.6 kilowatts for 0.9 hours and the electricity cost is $0.47 per kilowatt-hour.

To find the total cost, use the following formula:

Total cost = Energy usage (kilowatts) × Duration (hours) × Cost per kilowatt-hour

Plug in the given values:

Total cost = 2.6 kilowatts × 0.9 hours × $0.47 per kilowatt-hour

Total cost = $1.1046

To find the cost to the nearest penny, round the result to two decimal places:

Total cost = $1.10

So, it cost approximately $1.10 to use the clothes washer.

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Answer:

Z+12a−z+8+12−+8

Step-by-step explanation:

Z+8−6(z−2a)+5z

+8−6(−2)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8+12a−z+8+12−

Answer:

Z + 8 + 12a − z

12a + 8

Step-by-step explanation:

Answer:

d: d [1, infinity) and r (-infinity, 0)

Step-by-step explanation:

right on the test :3 good luck dear!!

Answer:

y = 3x - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (4, 6)

m = \(\frac{6-0}{4-2}\) = \(\frac{6}{2}\) = 3, then

y = 3x + c ← is the partial equation

To find c, substitute either of the 2 points into the partial equation

Using (2, 0 ) , then

0 = 6 + c ⇒ c = 0 - 6 = - 6

y = 3x - 6 ← equation of line

Answer:

Hope it helps!!!

Step-by-step explanation:

Answer:

125, 27

Step-by-step explanation:

5×5×5

=125

3×3×3

=27

Point ( 0 , -27 ) on the line and  ( -9 , 0 ) are not on the line

Given :

Madison is reeling in her string at a steady rate the linear equation 3y - 9x = -81 can be used to find y the number of feet of kite string she still needs to reel in after x seconds .

Points ( 0 , -27 )

when x = 0

3y - 9 * 0 = -81

3y - 0 = -81

3y = -81

y = -81 / 3

y = -27

so point ( 0 , -27 ) on the line .

when y = 0

3 * 0 - 9x = -81

0 - 9x = -81

-9x = -81

x = 81/9

x = 9

so ( -9 , 0 ) are not on the line

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Answer:

Weak Positive Correlation

Step-by-step explanation: I think that’s correct not 100 percent sure

The strength of the linear association between the height and the length of these rectangles is option A. Weak negative correlation.

In this, the both variables should be response to one another here the relationship is not so strong.

So the  correlation coefficient for the data  that represent the linear relationship between the height and length should be weak

hence, the option a is correct.

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The obtained value must be compared against the critical value. Hence, the correct option is b.

In hypothesis testing, the critical value is a threshold or cutoff point that is determined based on the chosen significance level (alpha level) and the distribution of the test statistic. It helps in determining whether to reject or fail to reject the null hypothesis.

After calculating the test statistic (such as z-score or t-statistic) from the observed data, it is compared to the critical value associated with the chosen significance level.

If the test statistic exceeds the critical value, it falls into the critical region, leading to the rejection of the null hypothesis.

If the test statistic is less than or equal to the critical value, it falls into the non-critical region, resulting in a failure to reject the null hypothesis.

Therefore, the obtained value must be compared against the critical value to make a decision in hypothesis testing. Hence, the correct answer is option b.

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If on Wednesday evening sonto spent one ½ doing doing homework 45 minutes doing housework 1 hour visiting friends and 1 hour ½ watching television .This  information in a ratio is: 2: 3 : 4 :6.

We need to first analyze the details  before determining the ratio.

​1 hour = 60 minutes

1/2 h = 30 minutes

1 1/2 = 90 minutes

So,

30 : 45 = 60 :90

Reduce the above minutes  to ratio

2: 3 : 4 :6

Therefore the ratio of the information is 2: 3 : 4 :6.

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The probability that a specific vulnerability within an organization will be attacked by a threat is known as potential.

Potential refers to the likelihood that a specific vulnerability in an organization's security will be exploited by a threat actor or attacker. In the field of information security, the concept of potential is used to assess the risk associated with a particular vulnerability.

This risk assessment helps organizations to prioritize their security efforts and allocate resources where they are most needed. Determinism is a philosophical and scientific concept that refers to the idea that events are determined by prior causes, rather than by random chance.

Externality is an economic term that refers to the impact of an economic activity on parties not directly involved in the activity. For example, pollution from a factory may have externalities that affect the health and well-being of people who live near the factory.

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The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer:

Segment Addition Postulate:  2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Step-by-step explanation:

Answer: Segment Addition Postulate: 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

hope this helped you kiddo.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

60/6 = 10

6/6 = 1

Answer:

1/18

Step-by-step explanation:

The pizza is 1 piece

1 divided by 3 = 1/3

1/3 divided by 6 = 1/18

this is because dividing by a whole number is the same thing as multiplying by its reciprocal

therefore the final piece is 1/18 of the original pizza

Answer:

C

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc, then

a = 2 × 25° = 50° → C