X+9>21, when x=15 true or false

Answer:

8 and 36

Step-by-step explanation:

In 6 years she'll be 14 and he will be 42.

14 times three is 42

It should be (2, -9). When rotating 180° you always make the x and y the opposite, so you take the opposite of -2 and the opposite of 9 to get (-2, 9). Hope this helps!

The optimizing function of the printed area is  while dimensions that maximize the printed area is 80 by 12 cm

Assume the dimensions of the poster be w and h, where:

w represents the width.

h represents the height.

So, the area of the poster is:

a= hw

The area is given as 960.

So, we have:

hw = 960

w = 960/h

When the height is reduced by 10 cm and the width by 6 cm.

The printed area (P) becomes

p =(w-12)(h-20)

p =(960/h-12)(h-20)

p = (960-12h/h)(h-20)

p =960h - 19200-12h²+240h

p = -12h²+1200h-19200

p = 80,20

w = 960/h

w = 960/80 = 12

Consequently, 80 by 12 cm are the dimensions that maximize the printed area.

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The equation y = 3x + 10 can be written in function notation as f(x) = 3x + 10.

In this notation, x is the input variable, and f(x) is the output or dependent variable.

Function notation is used to express the relationship between two variables, where one variable is a function of the other. In this case, the equation y = 3x + 10 tells us that y is a function of x, with a slope of  3 and a y-intercept of 10.

So, in function notation, this equation can be written as:

f(x)=3x+10

In conclusion, the equation y = 3x + 10 can be written in function notation as f(x) = 3x + 10. This notation expresses the relationship between the two variables x and y, where y is a function of x, represented by f(x) with a slope of 3 and a y-intercept of 10.

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The complete question is:

What is y = 3x + 10 in function notation?

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Answer:

First of all why are you posting this its not social media and also what is it that you want to know why you are learning it, you need more info.

Step-by-step explanation: But still most things in school you may need somewhere in your life or maybe someone else may need it always prepare for everything. You also may need it for a job whatever it is.

Thanks

Answer:

54

Step-by-step explanation:

Answer:

1090miles/gallon approximately

Step-by-step explanation:

On average a Sedan tank can hold 18.5 gallons.

If it's 75% full, it means it is 18.5 x 0.75 = 13.875 gallons full.

Since the number of miles covered was recorded as 15121 with 75% full gas tank, then to determine mile/gallon can be found by

15121/13.875 ≈ 1090miles/gallon

Given:

Length of the rectangular poster = 2.5 feet.

Width of the rectangular poster = 3.5 feet

To find the length of the tape used around the edge of the poster, we simply need to calculate the perimeter of the rectangular poster.

That is;

Perimeter of a rectangle = 2l + 2w

Perimeter of the rectangular poster = 2(2.5) + 2( 3.5)

=5 + 7

=12

Therefore, the length of the tape that he used around the edge of the poster is 12 feet.

The time in hours for the Tran family's sprinkler will be 30 hours.

The time in hours for the Campbell family's sprinkler will be 35 hours.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The water output rate for the Tran family's sprinkler was 35 L per hour.

The water output rate for the Campbell family's sprinkler was 25 L per hour.

And, The families used sprinklers for a combined total of 65 hours, which is resulting in a total water output of 1925 L.

Now,

Let time in hours for the Tran family's sprinkler = t

And, The time in hours for the Campbell family's sprinkler = 65 - t

So, We can formulate by the given condition,

⇒ 35t + 25 (65 - t) = 1925

Solve for t as;

⇒ 35t + 25 (65 - t) = 1925

⇒ 35t + 1625 - 25t = 1925

⇒ 10t + 1625 = 1925

⇒ 10t = 1925 - 1625

⇒ 10t = 300

⇒ t = 30

Thus, The time in hours for the Tran family's sprinkler = t

                                                                                   = 30 hours

And, The time in hours for the Campbell family's sprinkler = 65 - t

                                                                                          = 65 - 30

                                                                                          = 35 hours.

Therefore, we get;

The time in hours for the Tran family's sprinkler will be 30 hours.

The time in hours for the Campbell family's sprinkler will be 35 hours.

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To construct a confidence interval for t(θ) = θ², the MLE for the variance is (Y)². The confidence interval is given by (Y² - Z * sqrt((Y²)²/n), Y² + Z * sqrt((Y²)²/n)).



To find a confidence interval for t(θ) = θ², where Y1, Y2, ..., Yn are random variables with an exponential distribution of parameter θ, we can use the method of maximum likelihood estimation (MLE) and the probability of invariance.

First, we find the MLE for the mean of the exponential distribution, which is Y, the sample mean. Next, we apply the probability of invariance to find the MLE for the variance. The variance of an exponential distribution is equal to the square of its mean, so the MLE for the variance is (Y)².

Now, we can construct a confidence interval for t(θ) = θ² using the asymptotic normality of the MLE. The MLE Y follows an asymptotic normal distribution with mean θ and variance θ²/n, where n is the sample size.

Based on this, the confidence interval is given by:

CI = ( (Y)² - Z * sqrt(((Y)²)²/n), (Y)² + Z * sqrt(((Y)²)²/n) ),

where CI is the confidence interval, Z is the critical value from the standard normal distribution corresponding to the desired confidence level (1-a), Y is the sample mean, and n is the sample size.

So, the confidence interval for t(θ) = θ² is given by the above expression.

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Step-by-step explanation:

Question 3 :

We have ,

Multiplying all three equations ,

=> a × b × c = bc * ac * ab

=> abc = a²b²c²

=> abc/a²b²c² = 1

=> 1/abc = 1

=> abc = 1

\(\rule{200}2\)

(a)The distribution of X (the average of the 49 races) follows a normal distribution with mean 146 minutes and standard deviation 11 minutes. (b)The probability of the average of the sample being between 144 and 149 minutes is 0.5854.(c)The 80th percentile for the average of these 49 marathons is 157.2 minutes.(d) The median of the average running times is 146 minutes.

Part(a) The distribution of X (the average of the 49 races) follows a normal distribution with mean 146 minutes and standard deviation 11 minutes. Part (b) The probability that the average of the sample will be between 144 and 149 minutes in these 49 marathons can be calculated using the z-score formula: z = (x - mean)/standard deviation
For x = 144, z = (144 - 146)/11 = -0.18
For x = 149, z = (149 - 146)/11 = 0.27,using the z-score table, the probability of the average of the sample being between 144 and 149 minutes is 0.5854 (0.4026 + 0.1828).

Part (c) The 80th percentile for the average of these 49 marathons can be calculated using the z-score formula: z = (x - mean)/standard deviation, For the 80th percentile, z = 0.84 (from z-score table). Therefore, x = 146 + (0.84 * 11) = 157.2 minutes. Part (d) The median of the average running times is 146 minutes. The median is the midpoint of the data which means half of the data is above the median and half of the data is below the median. Therefore, the median of the average running times is equal to the mean.

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Answer:

8/10 = 4/5

1/2 < 7/12

3/4 > 8/1

problem solving + 6 i can't see sadly

the mean time between failures for the modified components is tested using the p-value method at a significance level of 0.05. The null hypothesis (H0) assumes that the mean time is 520 hours or less, while the alternative hypothesis (H1) suggests that the mean time is greater than 520 hours.

we will use the p-value method of hypothesis testing. The null hypothesis (H0) assumes that the mean time between failures for the modified components is 520 hours or less. The alternative hypothesis (H1) suggests that the mean time between failures is greater than 520 hours.

We start by calculating the sample mean and sample standard deviation of the given data. Using the sample mean and the assumed population mean of 520 hours, we can calculate the test statistic t, which follows a t-distribution with n-1 degrees of freedom (where n is the sample size).

Next, we determine the p-value associated with the obtained test statistic. The p-value represents the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis is true.

Comparing the p-value to the significance level of 0.05, if the p-value is less than 0.05, we reject the null hypothesis in favor of the alternative hypothesis. This would indicate that there is evidence to support the claim that the mean time between failures for the modified components is greater than 520 hours.

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Answer:

-8

Step-by-step explanation:

Answer:

DB = 82

Step-by-step explanation:

3x + 8 + 4x + 10 = 8x

7x + 18 = 8x

18 = 8x - 7x

18 = x

----------------------------------------

DB: 4x + 10

4 (18) + 10 = 82

                                                                                                                                                                                                                                                                          I understand that you may be struggling with understanding how to evaluate a square root expression with a negative number under the square root. Let me explain it further:

A square root is a mathematical operation that returns the value of a number that, when multiplied by itself, equals the original number. For example, √4 = 2 because 2*2 = 4. However, when you try to take the square root of a negative number, it is not possible to get a real number. Therefore, the square root of a negative number is represented by the imaginary number "i" which is defined as the square root of -1. So, √(-98x5) = √(98x5)i

Please let me know if there's anything else I can help you with.

im tired right now but i can tell you a way to find the answer

the number you need the equation to equate to is 41

run 6×x-19, replacing 'x' with various numbers until it equates to 41

hope this helps

Answer:

1)  13,434

2)  During 2038 (by 2039)

Step-by-step explanation:

We can model this problem using an exponential equation.

General form of an exponential equation: \(y=ab^x\)

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

As the population increases by 3% each year, each year it will be 103% of the previous year.  Therefore, the growth factor in decimal form is 1.03

Given:

Substituting the given values into the equation:

\(y=8888(1.03)^x\)

To find the population in 2025:

2025 - 2011 = 14

Therefore, set x = 14 and solve for y:

\(\begin{aligned}\implies y &=8888(1.03)^{14}\\& =13433.89747\\& = 13,434\end{aligned}\)

To find the year in which the population will reach 20000, set y = 20000 and solve for x:

\(\implies 8888(1.03)^x=20000\)

\(\implies (1.03)^x=\dfrac{20000}{8888}\)

\(\implies \ln (1.03)^x=\ln \left(\dfrac{20000}{8888}\right)\)

\(\implies x\ln (1.03)=\ln \left(\dfrac{20000}{8888}\right)\)

\(\implies x=\dfrac{\ln \left(\frac{20000}{8888}\right)}{\ln (1.03)}\)

\(\implies x=27.43785809\)

2011 + 27.437... = 2038.437...

Therefore, the population will reach 20,000 some time during 2038.

Answer:

178

Step-by-step explanation:

Answer:

178

Step-by-step explanation:

I answered this so the other girl* can get the brainliest he deserves.

Answer:

9

Step-by-step explanation:

listing the factors

27 : 1, 3, 9, 27

36 : 1, 2, 3, 4, 9, 12, 18, 36

the common factors are 1, 3, 9

the highest common factor is 9

Hi :)

The highest common factor is also known as the HCF

Let's find the HCF of \(\boldsymbol{27}\) and \(\boldsymbol{36}\).

\(\boldsymbol{Factors\:of\:27: 1, 3, 9, 27}\)

\(\boldsymbol{Factors\:of\:36:1,2,3,4,6,9,12,18,36}\)

HCF : \(\boldsymbol{9}\)

\(\tt{Learn\:More;Work\;Harder}\)

:)

Answer:

u = -156

Step-by-step explanation:

-u + 14 = 170

    - 14    - 14

       -u = 156

       u = -156

Hope this helps!

Answer:

u = -156

Step-by-step explanation:

-u+14=170

-u+14-14=170-14

-u=156

-u/-1=156/-1

u=-156

Answer:

B=90

Step-by-step explanation:

It is a right angle

The width of the path is 24 meters.

Let's call the width of the path "x".

The dimensions of the inner rectangle (the lawn without the path) are 46m by 34m. The dimensions of the outer rectangle (the lawn with the path) are (46+2x) by (34+2x).

Area of path = Area of outer rectangle - Area of inner rectangle

425m² = (46+2x)(34+2x) - (46)(34)

Simplifying and solving for x:

425m² = (2x+46)(2x+34)

425m² = 4x² + 80x + 1564

4x² + 80x - 1161 = 0

We only want the positive value for x, so:

x = (-80 + 272) / 8

x = 24m

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Step-by-step explanation:

Let me say THIS.

If the Path is 2 2/3 miles long, then that is how far you went.

The width doesn't matter

Answer:

21 Miles per gallon

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

7*3

Answer:

no, the origin is located at 0,0

Answer:

Step-by-step explanation:

plug in the points minus the constant for 7=3*4 + x and you will get -5 for your constant  

y=3x - 5

Answer:

y = 3x - 5

Step-by-step explanation:

7 = 3(4) + b

---> b = -5

y = 3x - 5