6TH GRADE MATH - WILL GET 69 POINTS FOR ANSWERING
A movie theater is located on a map of a city represented by a coordinate plane. The location of the movie theater is at (−3, −4). Which map shows the correct location of the movie theater?

1; A coordinate grid with a point at 3 units to the right and 4 units down from the origin labeled movie theater.

2; A coordinate grid with a point at 3 units to the left and 4 units down from the origin labeled movie theater.

3; A coordinate grid with a point at 3 units to the right and 4 units up from the origin labeled movie theater.

4; A coordinate grid with a point at 3 units to the left and 4 units up from the origin labeled movie theater.

Answer:

Step-by-step explanation:

Given,

Time taken (t) = 10 - 6 = 4hrs

Water decreased (V) = 24000l - 18000l = 6000l

Now,

average rate of decrase (Avg) = V/t = 6000l/4 =1500 L/h

At the moment when the radius is 12 inches, the balloon is inflating at a rate of 20 cubic inches per second.

To determine the rate at which the radius is changing, we can use the formula for the volume of a sphere, which is given by \(V = \left(\frac{4}{3}\right)\pi r^3\), where V is the volume and r is the radius.

Taking the derivative of both sides with respect to time t, we get \(\frac{dV}{dt} = 4\pi r^2\left(\frac{dr}{dt}\right)\), where \(\frac{dV}{dt}\) represents the rate of change of volume with respect to time and \(\frac{dr}{dt}\) represents the rate of change of radius with respect to time.

Given that \(\frac{dV}{dt} = 20\) cubic inches per second, we can substitute this value into the equation and solve for \(\frac{dr}{dt}\) when r = 12 inches:

\(20 = 4\pi (12)^2 \left(\frac{dr}{dt}\right)\)

Simplifying the equation:

\(20 = 576\pi \left(\frac{dr}{dt}\right)\)

Dividing both sides by 576π:

\(\left(\frac{dr}{dt}\right) = \frac{20}{576\pi}\)

Therefore, the rate at which the radius is changing when the radius is 12 inches is approximately \(\frac{20}{576\pi}\) inches per second.

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The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Answer:

The value of y is 18 at x = 70

Step-by-step explanation:

The equation of the directly proportional is y = k x, where k is the constant of proportionality.

∵ The value of y is directly proportional to the value of x

→ By using the equation above

∴ y = k x

∵ x = 140 and y = 36

→ Substitute them in the equation above

∴ 36 = k(140)

∴ 36 = 140k

→ Divide both sides by 140

∵ \(\frac{36}{140}\) = k

∴ \(\frac{9}{35}\) = k

→ Substitute the value ok in the equation

∴ y = \(\frac{9}{35}\) x ⇒ equation of proportionality

∵ x = 70

→ Substitute in the equation to find y

∴ y =  \(\frac{9}{35}\) × 70

∴ y = 18

∴ The value of y is 18 at x = 70

1. A 90% confidence interval estimate of the population variance for the weight of the drug delivered by Amazon drones is (0.527, 1.421).

2. A 90% confidence interval estimate of the population standard deviation for the weight of the drug delivered by Amazon drones is (0.726, 1.192).

1. To calculate the confidence interval for the population variance, we use the chi-squared distribution with (n-1) degrees of freedom, where n is the sample size. Using this distribution and the given sample variance, we can calculate the lower and upper bounds of the confidence interval. The result is a range of values that is likely to contain the true population variance with 90% confidence.

To calculate the confidence interval for the population standard deviation, we take the square root of the bounds of the confidence interval for the population variance. This gives us a range of values for the population standard deviation with 90% confidence.

2. In this case, the sample size is 24 and the sample variance is 0.81. Using the chi-squared distribution, we find that the lower bound of the confidence interval for the population variance is 0.527 and the upper bound is 1.421. Taking the square root of these values gives us the range of 0.726 to 1.192 for the population standard deviation.

These confidence intervals provide a measure of uncertainty around the true population parameters of interest, and can help Amazon to better estimate delivery times for their drone deliveries.

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Answer:

7 gallon

Step-by-step explanation:

Divide the space that needs paints by how much space has been painted

2500/785 = 3.18

Then double that because it takes 2 gallons to paint every 785 square feet

3.18 x 2 = 6.36

You would need 6.36 gallons of paint, which would round up to 7 because you cannot buy 0.36 of a gallon

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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the probability of selecting a red ball with an even number is 14/41, which simplifies to approximately 0.341 or 34.1%.

In the given bag containing 41 balls, there are 28 red balls numbered 1 to 28 and 13 white balls numbered 29 to 41. To calculate the probability of selecting a red ball with an even number, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The number of favorable outcomes is the number of red balls with even numbers, which is 14 (2, 4, 6, ..., 28).

The total number of possible outcomes is the total number of balls in the bag, which is 41.

Therefore, the probability of selecting a red ball with an even number is 14/41, which simplifies to approximately 0.341 or 34.1%.

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Answer:

Step-by-step explanation:

The equation for this is

12(x + 1) = 10(10 - x) and

12x + 12 = 100 - 10x and

22x = 88 so

x = 44

Answer:

not equivalent

Step-by-step explanation:

Given

\(\frac{6}{7}\) = \(\frac{7}{9}\)

If the ratios are equivalent then ib cross- multiplying the 2 sides should be equal, that is

6 × 9 should equal 7 × 7

However, 54 ≠ 49

Thus the ratios are not equivalent

The statements for the function f( x) = 3x ²- 5 are

f( 5)< 1( false)

f( 0) = 1( false)

Statements for the function f(x) = 3x ²- 5

To find the true or false statement we have to substitute the value for x

First, x= 3

f(x) = 3x ²- 5

f(3)= 3( 5)²- 5

f(3) = 75- 5

f(3)= 70.

Thus, the statement" f( 5)< 1" is false.

Now, at x =0

f(x) = 3x ²- 5

f(0) = 3( 0)²- 5

f(0)= 0- 5

f(0)= -5.

Thus, the statement" f( 0) = 1" is false.

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Answer:Around 14.7 minutes

Step-by-step explanation:

if q= the amount of time, and p=18 you do 12*18 is 216 and radical 216 is 14.6969, (nice). Please let me know if i am inncorrect i am not 100% sure.

Answer:

Step-by-step explanation:

-1, -0.5, 1/4

Answer:

the more you work , the more you earn  

 If you work more than 40 hours per week, your overtime rate is time and a half.

Step-by-step explanation:

;)

Advantages of working for an hourly rate is 1) The more you work, the more you earn.

An hourly employee is a paid a wage for each hour worked , unlike a salaried employee , who is paid a flat wage regardless of how many hour worked during a workweek.

When someone work on an hourly basis , the salary of that person depends on the number of hour she / he worked. If worked more you will get more , if worked less you will get according to that .

so , basically working hours have a direct proportionality to the earning that person is making . It totally depend on the hard work one is putting in work.

Hence , the answer is 1) The more you work, the more you earn.

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Answer:

85+x=153

Step-by-step explanation:

So basically, Victor made an unknown amount of snowballs after lunch, and you need to find the amount. You can represent the unknown as the variable x. Then, you get the equation 85+x=153

The equation used to find the number of snowballs s Victor and his friends make after lunch is s + 85 = 153.

Given data:

Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.

Now , the equation to find the number of snowballs Victor and his friends make after lunch is determined as :

s + 85 = 153

In this equation, "s" represents the number of snowballs they make after lunch. The equation states that the sum of the snowballs made before lunch ("85") and the snowballs made after lunch ("s") is equal to the total number of snowballs they made ("153").

Hence, the equation is s + 85 = 153

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In a deck of playing cards has 52 cards of which 12 are face cards, The odds are 33 / 3315 or 0.01 that the top 3 are face cards.

The total number of cards was 52, and there were 12 face cards.

Probability equals the number of possible outcomes divided by the total number of possibilities.

The first attempt had a probability of 12/52,

the second attempt had a probability of 11/51,

and the third attempt had a probability of 10/50.

Therefore, the probability that each of the three cards are face cards is equal to 12 / 52 × 11 / 51 × 10 / 50 = 1320 / 132600 = 132 / 13260 = 33 / 3315

the probability that all three are face cards = 0.00995475113 ≈ 0.01

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The binomial probability formula is used to calculate the probability of a specific number of successes in a fixed number of independent trials, where each trial can only result in success or failure. It is used to model situations where there are only two possible outcomes for each trial, and where the trials are independent and identically distributed.

The formula for binomial probability is:

\(P(x) = (n choose x) * p^x * (1 - p)^{n-x}\\\)

where P(x) is the probability of x successes in n trials, p is the probability of success on each trial, (n choose x) is the binomial coefficient which gives the number of ways to choose x successes from n trials, and (1 - p) is the probability of failure on each trial.

The binomial probability formula can be used in a variety of applications, such as:

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Answer:

Step-by-step explanation: 3,-1?

The number of communication channels, 1 channels would two people require.

To find number of communication channels, we use;

On the other hand, it might be a sign of the scope and intensity of the project communication management needed in huge projects and so-called megaprojects. This could, for example, entail allocating specific resources to project communication responsibilities in accordance to the number of available channels for communication. These factors may be especially important for teams working on sensitive projects and projects where information flow may be unclear or even fraudulent.

Number of potential communication channels = n x (n-1)/2

Given n = 2;

→ x = 2*(2 - 1)/2

    = 2*1/2

    = 1

The number of communication channels, 1 channels would two people require.

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The researcher makes decisions based on the results of the hypothesis test : d. The null hypothesis should not be rejected because 0.04 is greater than 0.01.

The correct decision for the researcher to make based on the results of the hypothesis test is d. The null hypothesis should not be rejected because 0.04 is greater than 0.01. The researcher's sample provides evidence that the proportion of left-handed professional golfers is less than the claimed value of 0.06, which supports rejecting the null hypothesis.

The p-value of 0.04 is greater than the significance level of 0.01, but this does not impact the decision as the decision is based on the comparison between the sample proportion and the claimed value.

The researcher should make the decision based on the comparison of the p-value with the significance level (alpha).
In this case, the significance level (alpha) is 0.01 and the p-value is 0.04.
Since the p-value (0.04) is greater than the significance level (0.01), the researcher should not reject the null hypothesis.
Therefore, the correct answer is:
d. The null hypothesis should not be rejected because 0.04 is greater than 0.01.

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Answer:

2.1 m

Step-by-step explanation:

The gutter is in the shape of a cylinder.

Its volume is 20 liters and its diameter is 11 cm (0.11 m).

Its radius is half of its diameter => r = 0.055 m.

The volume in cubic metres:

1 litre = 0.001 cubic metres

20 litres = 20 * 0.001 = 0.02 cubic metres

The volume of a section of guttering is given as:

\(V = \pi r^2h\)

where h = length of the guttering

Therefore:

\(0.02 = \pi * 0.055^2 * h\\\\0.02 = 0.009503h\\\\h = 0.02 / 0.009503\\\\h = 2.10 m\)

The length of the section of guttering is 2.1 m long.

Social security tax and Medicare taxes are $6621.6 and  $1812.5 respectively.

It is given that

Annual salary = $125,000

Maximum taxable earnings = $106,800

Social security tax= 6.2%

Medicare tax = 1.45%

The percentage is the value per hundred.

As it is given, Social security tax will be applied on maximum taxable earnings while Medicare tax will be applied on annual salary.

So, social security tax = 6.2% of $106,800 = 6.2*106800/100 = $6621.6

Medicare tax = 1.45% of  $106,800 = 1.45 * 125000/100 = $1812.5

Therefore, Social security tax and Medicare taxes are $6621.6 and  $1812.5 respectively.

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Answer:

18

Step-by-step explanation:167-5=162

95-5=90

18is hcf of 162 and 90 then answer is 18

Answer:

ANS:- = -25/18

Step-by-step explanation:

= (5/6)/(-3/5)

=5*5/6*(-3)

=25/-18

= -25/18

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.

Isolating x,

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

Therefore substituting value of x on equation 2,

9(2y) = 40 - 14y

18y = 40 - 14y

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = 5/4

Therefore , x = 10/4 = 5/2

as because x =2y.

An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y

These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as  because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

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Answer:

Step-by-step explanation:

Four times a certain number “a”:

Ten more than thrice the number:

The statement is: