Which statement is true?

Answer:

9 oatmeal cookies

Step-by-step explanation:

The roots of the quadratic equation x² + (1-k)x + k-3=0 are real for all real values of k.

The discriminant (D) of the quadratic equation ax² + bx + c = 0 is given by:

D = b² - 4ac

For the given quadratic equation x² + (1-k)x + k-3 = 0, a=1, b=1-k, and c=k-3. Substituting these values into the discriminant formula, we get:

D = (1-k)² - 4(1)(k-3)

D = 1 - 2k + k² - 4k + 12

D = k² - 6k + 13

For the roots of the quadratic equation to be real, the discriminant must be greater than or equal to zero, i.e. D ≥ 0. Therefore, we need to prove that:

k² - 6k + 13 ≥ 0

To find the range of k for which this inequality holds true, we can factor the left-hand side of the inequality as:

k² - 6k + 13 = (k - 3)² + 4

Since the square of any real number is always non-negative, we can see that the left-hand side of the inequality is always greater than or equal to 4, i.e.

(k - 3)² + 4 ≥ 4

Therefore, we have:

k² - 6k + 13 ≥ 0

This inequality holds true for all real values of k. Therefore, the roots of the quadratic equation x² + (1-k)x + k-3=0 are real for all real values of k.

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Answer:

I think it is C

Step-by-step explanation:

-14w - 3 -5w

-14w-5w-3

19w-3

The tail is 764 inches tall.

Unit conversion is the process of changing measurement value of one form to another e.g. changing minutes to seconds, or liters to cubic meter. This is done using a conversion factor.

In this case, the conversion factor is:

1 foot = 12 inches

Since the tail of the jet airliner is 63 2/3 feet tall. The tail of a jet airliner in inches will be:

Tail in inches =  (63 2/3) * 12 = 764 inches

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Given:

Solve for x,

Answer: x = 35.

Answer: 5:6 = 35:42

Step-by-step explanation:

\(\displaystyle\\5:6=\\\\\frac{5}{6} =\\\\\frac{5(7)}{6(7)}=\\\\\frac{35}{42} =\\\\35:42\)

James runs 400m in a day

In a week = 7 days

400m × 7 days = 2800m

To convert 2800m to km

1km = 1000m

So, 2800m/1000m

= 2.8 km

How far are the Town Center and the Park

3.5 km and 650m

650m to km

1km = 1000m

To km  = 0.65km

The distance = 3.5km - 0.65km

= 2.85km

So, they are 2.85km apart

A bottle  = 1.75 liters of lemonade

A can = 330 ml of lemonade

1.75 liters to milliliters

1 liter = 1000 milliliter

= 1.75 × 1000 ml

= 1750 ml

2 bottles of lemonade

1750ml × 2

= 3500 ml

6 cans of lemonade

330ml × 6

= 1980 ml

In total, 3500ml + 1980ml

= 5480 ml

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The emphasis is on the Counting and Cardinality standard in the early childhood years according to the National Council of Teachers of Mathematics.

The National Council of Teachers of Mathematics emphasizes the following standards in the early childhood years:

- Counting and Cardinality

- Operations and Algebraic Thinking

- Number and Operations in Base Ten

- Measurement and Data

- Geometry

The National Council of Teachers of Mathematics recognizes that all five math standards are important in the early childhood years. However, they place a particular emphasis on the standards related to counting and cardinality. This includes developing skills in counting, understanding numbers, and recognizing numerical relationships.

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Answer:

Below

Step-by-step explanation:

As I posted ....looks to be 147°

Answer: 82.5

Step-by-step explanation: 6600 divided by 80 is 82.5

Answer:

82.5

Step-by-step explanation:

Answer:

3 1/8

Step-by-step explanation:

16 bags = 50 m

1 bag = 50/16

1 bag = 25/8

1 bag = 3 1/8 ( due to mixed fraction )

so the cloth needed to make one bag is 3 1/8 m

The graphs of both the functions are compared and shown in the graph.

Given are the functions as -

y = x²  and   y = ax²

The given functions are -

y = x²  and   y = ax²

Refer to the graph attached. It shows the plot of both the functions plotted. The graph of y = ax² is either much wider or narrower than the graph of y = x² depending upon the value of [a]. For [a] < 0, the graph open downwards and for [a] > 1, the graph open upwards.

Therefore, the graphs of both the functions are compared and shown in the graph.

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Answer:

the base = 7 in

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area = 1/2 base * height

Area = 28

height = 8

base = ?

28 = 1/2 * 8 * base

28 = 4 * base

28/4 = base

base = 7

a) x = 77 degrees

b) B - alternate angle

 (The angle that shows 'Z' shape is alternate as both the angles are equal)

Answer:

\( \large{ \tt{☄ \: STEP - BY - STEP \: EXPLANATION}} : \)

PART - 1 :

❃ Firstly , Let's explore about Alternate angles :

Alternate angles can be defined as the pair of interior angles which lies to the opposite side of transversal. It usually forms ' Z ' shape & Alternate angles are always equal.

A. \( \large {\tt{⟿ \: x = \boxed{77 \degree}}}\) [ Since AD \( \parallel\) EH and being alternate angles ]

The value of x is 77° .

PART - 2 :

✺ If there's something else going on in your life and you can't get it off your mind : Write down what's going through your head , sort of like a diary entry. It'll help you work things out ! ♪

ツ Hope I helped! ♡

☼ Have a wonderful day / evening ! ☃

# StayInAndExplore ! ☂

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Answer: It is B. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.

Step-by-step explanation:

The margin of error for a 95% confidence interval for the true mean mercury concentration in the Lower Willamette River is 0.02566.

The margin of error represents the range within which the true population mean is likely to fall. In this case, with a 95% confidence level, it means that we are 95% confident that the true mean mercury concentration in the Lower Willamette River falls within a specific range. The margin of error is calculated by multiplying the standard error (a measure of the variability of the sample mean) by a critical value, which is determined based on the desired confidence level and the sample size. In this case, the margin of error is rounded to five decimal digits and given as 0.02566.

It's important to note that the provided margin of error (0.02566) matches none of the options given (0.02566, 0.00199, 0.00261, none of the above). Therefore, the correct answer is "none of the above." It's crucial to carefully read and compare the options provided to ensure the accurate selection of the margin of error.

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The maximum speed the cube reaches when the spring is initially compressed by 5 cm is the same as the maximum speed when it is initially stretched by 5 cm.

Speed can be constant or variable. An object with constant speed moves at the same rate over a given distance and time interval. An object with variable speed changes its rate of motion over the same interval. Average speed is calculated by dividing the total distance traveled by the total time taken, and instantaneous speed is the speed at a particular moment in time.

Assuming that the spring has a spring constant of k and the mass of the cube is m, the potential energy stored in the spring when it is compressed or stretched by 5 cm is given by:

U = (1/2)k(0.05)² = 0.00125k

When the spring is released, this potential energy is converted into kinetic energy of the cube. Therefore, the maximum speed the cube can reach is given by:

(1/2)mv² = 0.00125k

Solving for v, we get:

v = √(0.0025k/m)

Therefore, the maximum speed the cube reaches when the spring is initially compressed by 5 cm is the same as the maximum speed when it is initially stretched by 5 cm. This is because the potential energy stored in the spring is the same in both cases, and this potential energy is converted completely into kinetic energy when the spring is released. The maximum speed depends only on the spring constant and the mass of the cube, and is independent of the initial compression or stretching of the spring.

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Answer:

9c + (-15c) + (-3c) = -9c

Step-by-step explanation:

9c + (-15c) + (-3c) =

9c - 15c - 3c =

-6c - 3c =

-9c

Answer:

Hello! answer: 11 25/64

Step-by-step explanation:

Volume is just length × width × height since its a cube all of those will be the same so...

2 1/4 × 2 1/4 × 2 1/4 = 11 25/64 Hope that helps!

Answer:

11 25/64

Step-by-step explanation:

To find the volume of a cube, you have to cube the side length.

2 1/4^3=2 1/4•2 1/4•2 1/4=9/4•9/4•9/4=729/64=11 25/64.

The endpoints are (-1, 4)

From the information given, we have that the geometric series is represented as;

(x-3).

The series reaches a state of convergence for values of x that are within the interval of -1 and 4, where the absolute value of (x-3) is less than 1. The interval is defined by -1 and 4 as its endpoints.

T verify the endpoints. let us substitute the  series to know if it converges.

For x = -1 , we have;

(-1-3)⁰ + (-1-3)¹ + (-1-3)² + ...

The series converges

For x = 4,  we have the series as;

(4-3)⁰ + (4-3)¹ + (4-3)² + ...

Here, the series diverges

Then, the endpoints are (-1, 4).

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Answer:

The points present in the first quadrant are of the form (a, b) where a, b>0.

Step-by-step explanation:

The points present in the first quadrant are of the form (a, b) where a, b>0.

In the first quadrant both the abscissa and ordinate are positive.

In the second quadrant the abscissa is negative and ordinate is positive.

In the third quadrant both the abscissa and ordinate are negative.

In the forth quadrant both the abscissa is positive and ordinate are negative.

The examples of points in the first quadrant are (1,0), (2,3), (11,4) and many other.

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Answer: The y-coordinates in the first quadrant are positive. because y represents the profit made, positive y values signify profit. The points in quadrant I represent the baseball team making a profit.

Step-by-step explanation: Source - I took the test.

Answer:

8640in²

Step-by-step explanation:

A = I * W * H

A= 27*16*20

A=8640in²

We can conclude that 30 inches of wood is needed to make 120 pins by solving some mathematical operations.

So, the wood we need to make 120 pins:

Therefore, we can conclude that 30 inches of wood is needed to make 120 pins by solving some mathematical operations.

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Answer:

240inch per min

Step-by-step explanation:

4inch per 1 sec

×60 for inch per min

240 inch per min.

We can be 99% confident that the true average price of a regular room with a king size bed falls within this interval.

The interval estimate to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence can be constructed using the sample mean, sample standard deviation, and the critical value for a 99% confidence level.

Given that the sample mean is $125 and the sample standard deviation is $30, we can calculate the margin of error using the formula:

Margin of Error = (Critical Value) * (Standard Deviation / √Sample Size)

Since we have a sample size of 18 and we want a 99% confidence level, the critical value can be obtained from the Z-table or using statistical software, and for a 99% confidence level, it is approximately 2.878. Plugging in the values, we get:

Margin of Error = 2.878 * (30 / √18) ≈ 18.71

The interval estimate is then constructed by adding and subtracting the margin of error from the sample mean:

Interval Estimate = Sample Mean ± Margin of Error

Interval Estimate = $125 ± $18.71

Rounded to two decimal places, the interval estimate for the true average price of a regular room with a king size bed in the resort community with 99% confidence is approximately $106.29 to $143.71.

# A travel agent is interested in the average price of a hotel room during the summer in a resort community. The agent randomly selects 18 hotels from the community and determines the price of a regular room with a king size bed. The average price of the room for the sample was $125 with a standard deviation of $30. Assume the prices are normally distributed. Construct an interval to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence. Round the endpoints to two decimal places, if necessary.

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Answer:

I don't know if your question is multiple choice or not but here's a close estimate to what it should be.

y = \(\frac{3}{4} x\)  

Step-by-step explanation:

Obviously at a drop of 0 height there would be 0 rebound height so your y-intercept has to be 0.

As for the slope of the line I used the point at 2.5 and 3.

Here are the coordinates (2.5, 1.25) and (3, 1.625)

Find the average rate of change as you see below

1.625 - 1.25 = .375

3 - 2.5 = .5

.375 / .5 = .75 or 3x/4

The points aren't exactly on the line and the graph isn't 100% linear so obviously the equation is not 100% precise. The slope should very close to 0.75 or 3/4.

Based on the given information, a sample of 140 patients found that 35 were uninsured. To determine if there is enough evidence to support the director's claim, we need to conduct a hypothesis test.

The null hypothesis (H0) is that the proportion of uninsured patients is equal to the director's claim. The alternative hypothesis (Ha) is that the proportion of uninsured patients is not equal to the director's claim.
To test this, we calculate the test statistic and compare it to the critical value at the 0.02 significance level. If the test statistic falls in the rejection region, we reject the null hypothesis.
Using the formula for proportions, the test statistic is calculated as (35/140) - (director's claim).

Then, we compare the test statistic to the critical value from the standard normal distribution.
If the test statistic falls in the rejection region (critical value > test statistic), we reject the null hypothesis and conclude that there is enough evidence to support the director's claim.

If not, we fail to reject the null hypothesis and do not have enough evidence to support the claim.
In order to provide a more accurate answer, please provide the director's claim and the critical value at the 0.02 level.

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The equation 18/6 = 3 shows that 6 is a factor of the number 18.

An equation is an expression that shows the relationship between two or more numbers and variables.

A factor is a number that divides the given number without having any remainder.

Given that 6 is a factor of 18, hence:

18/6 = 3

The equation 18/6 = 3 shows that 6 is a factor of the number 18.

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