Solve for x.

23x=49


x=827

x=23

x = 2

x = 3

Answer:

87150

Step-by-step explanation:

84,899 is the exact square miles, but 87,150 is closest

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Answer:

10.5 cubic feet

(10.5ft³)

Step-by-step explanation:

1.5 x 3.5 = 5.25

5.25 x 2 = 10.5ft³

ŷ= 6.45x + 31.5 is the equation of the regression line for the given data

Construct the table of the data as follows:

x    >>>>     y  >>>>  x²  >>>>  y²  >>>>   xy

1                39            1            1521         39

2               45            4           2025       90

3               52             9          2704       156

4               49            16          2401        196

5               61             25         4096       305

5               72            25          5184        360

................................................................................................

20             318           80          17931       1146

.................................................................................................

∑x = 20,  ∑y = 318, ∑x²= 80, ∑xy = 1146,  n = 6 (number data points)

The linear regression equation is of the form:

ŷ = ax + b

where a and b are the slope and y-intercept respectively

a = ( n∑xy -(∑x)(∑y) ) / ( n∑x² - (∑x)² )

a = (6×1146 - 20×318) / ( 6×80-20² )

a = 6876-6360 / 480-400

a = 516 / 80

a = 6.45

x' =  ∑x/n

x' = 20/6 = 10/3

y' = ∑y/n

y' = 318/6 = 53

b = y' - ax'

b = 53 - 6.45×(10/3)

b = 53 - 21.5

b = 31.5

ŷ = ax + b

ŷ= 6.45x + 31.5

Thus,  the equation of the regression line for the given data is ŷ= 6.45x + 31.5. (The scatter plot of the data is shown in the attached image)

(a) x=3 hours

ŷ= 6.45(3) + 31.5 = 50.85

(b) x=4.5 hours

ŷ= 6.45(4.5) + 31.5 = 60.525

(c) x=13 hours

ŷ= 6.45(13) + 31.5 = 115.35

(d) x=1.5 hours

ŷ= 6.45(1.5) + 31.5 = 41.175

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Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Answer:

-1/4

Step-by-step explanation:

Answer:

option number 2

Step-by-step explanation:

you can see inital and final co ordinate

Answer:

y > -2

Step-by-step explanation:

The range of a function is the set of all possible output values (y-values).

From inspection of the given graph:

Therefore, the most appropriate range from the given answer options is:

Note:  The graph appears to be the exponential function  \(y=2^x-2\)  with a horizontal asymptote at y = -2.  This means that the curve will get closer and closer to y = -2 as x approaches negative infinity, but it will never touch it.  The function approaches infinity as x approaches infinity.  Therefore, the range for this function is y > -2

Answer: the car travels 40 miles per hour

Step-by-step explanation: First you have to set the ratio up as 120 miles over 3 hours. After you do that you need to divide 120 by 3 which will give you for which gives you 40 miles per hours

Answer:

-11

Step-by-step explanation:

Notice how

\(f(x)=x^{2} +8x+1\)

So when we have

\(f(-6)=(-6)^{2} +8(-6)+1= 36-48+1=-11\)

The answer is:

f(-6) = -11

Step-by-step explanation:

Plug in -6 for x:

\(\sf{f(x)=x^2+8x+1}\)

\(\sf{f(-6)=(-6)^2+8(-6)+1}\)

Simplify this:

\(\sf{f(-6)=36-48+1}\)

\(\sf{f(-6)=-12+1}\)

\(\sf{f(-6)=-11}\)

Answer:

3x-2y > 6

Step-by-step explanation:

3x-2y > 6

see attached figure.

Answer:

However, if the initial receiving team only scores a field goal, the game is not automatically over and the other team is given an opportunity .

sana makatulong

Step-by-step explanation:

Correct Answer:

Ali keeps his shop open for 13 hours straight.

Correct Step-by-step explanation:

Well that is that! Can't say anything about it....

It is simple babyish counting that you should learn too!

Hope this helped you count!

P.S: BRAINLIEST IS REQUIRED

The length of segments TA and TB are both 4 cm.

To solve this problem, we can use the properties of circles and the relationship between the radius and the diameter.

Since the radius of the circle with center T is 4 cm, the diameter of this circle is 2 * 4 = 8 cm.

Since the length of segment ST is 9 cm, the diameter of the second circle is also 9 cm.

Since the radius of the circle with center T is 4 cm, the radius of the second circle is also 4 cm.

Since the two circles intersect at points A and B, the segments TA and TB are equal in length.The length of segment TA and TB is the radius of the second circle, which is 4 cm.

Therefore, the length of segments TA and TB are both 4 cm.

The figure is attached

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Answer:

9000

Step-by-step explanation:

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:25

you would have to divided 100 divided by 4 wich equals 25.

The potential of an organization to generate growth and development is decided by its capacity. So, the option is correct.

Capacity is the correct option.

We know that

while generating an organization we do measure it by the growth and capacity and these two terms are called as capacity

whereas

The option B. Flexibility in an organization underlines the readiness and capability to change. Hence, the option is incorrect.

The option C. Organizational volatility is a degree of how uncertain a change might be. So, the option is not correct.

The option D. Sustainability in an organization can be achieved when the activities, processes, elements, resources, and other components do not harm or negatively affect the environment. Hence, the option is not correct.

The option E. The level of variation among diverse components of the organization is termed complexity. So, the option is incorrect.

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Answer:

f(x) = x² - 5x - 24

Step-by-step explanation:

Step 1: Define

Roots/zeros = 8, -3

Step 2: Rewrite

x = 8, -3

Step 3: Write quadratic function

Answer:

f(x) = x^2 - 5x - 24.

Step-by-step explanation:

In factor form that would be:

f(x) = (x - 8)(x + 3)

f(x) = x(x + 3) - 8(x + 3)

= x^2 + 3x - 8x - 24

f(x) = x^2 - 5x - 24.

We have the expression:

Wich means that x can be negative, so:

And that give us that y also is not negative, so:

Answer:

V = 3312 ft^3

Step-by-step explanation:

This figure is formed from a rectangular prism and a square-based pyramid

Given:

h (prism) = 11 ft

a (prism's base) = a (pyramid's base) = 12 × 18 = 216 ft^2

h (pyramid) = 24 - 11 = 13 ft

First, we can find the volume of the prism:

\(v(prism) = a(base) \times h\)

\(v(prism) =216\times 11 = 2376 \: {ft}^{3} \)

Now, let's find the volume of the pyramid:

\(v(pyramid) = \frac{1}{3} \times a(base) \times h\)

\(v(pyramid) = \frac{1}{3} \times 216 \times 13 = 936 \: {ft}^{3} \)

In order to find the total volume of the given figure, we have to add these 2 volumes together:

\(v(total) = 2376 + 936 = 3312 \: {ft}^{3} \)

Number of camels are there at the safari park are 6 unit.

The animals at a safari park include camels, kangaroos and meerkats.

Let kangaroos are represented as K and Camels are represented as C and Meerkats are represented as M.

There are 12 more kangaroos than there are camels which means

K = C + 12.

There are 3 times as many meerkats as there are camels which means

M = 3C.

There are the same number of kangaroos as there are meerkats which means

K = M

If K = M

therefore,

3C = C + 12

2C = 12 ,

C = 6 unit.

So, K = 6 + 12 = 18

Or M = 18

Therefore  number of camels, kangaroos and meerkats at the safari park are 6 , 18 and 18 respectively.

Number of camels are there at the safari park are 6 unit.

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The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

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Answer: is A

Step-by-step explanation:

Answer:

C. and D.

Step-by-step explanation:

In the word problem, the two facts to solve the problem are:

A. The wait to ride the roller coaster was 40 minutes and

B. The line of people was 100 meters long

Because the length of waiters has an effect on the time. Thus, if the line is reduced to 50 meters, then the waiting time would reduce i.e 20 minutes.

Therefore, the facts that are not required to solve the word problem are:

C. The roller coaster is the fastest ride at the fair.

D. It was Tuesday.

Answer:

1023/4

Step-by-step explanation:

shown in the picture

Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.

Step-by-step explanation:

To find the numerical limits for a D grade, we need to determine the cutoff points for the top 77% and bottom 8% of scores.

Using a standard normal distribution table or a calculator, we can find that the z-score cutoff points for the top 77% and bottom 8% are approximately 0.61 and -1.41, respectively.

To find the corresponding raw scores, we use the formula:

raw score = (z-score x standard deviation) + mean

For the top 77%, we have:

raw score = (0.61 x 7.2) + 81.6 = 86.392, which we can round up to 87

For the bottom 8%, we have:

raw score = (-1.41 x 7.2) + 81.6 = 70.848, which we can round down to 70

Therefore, the numerical limits for a D grade are scores below 87 and above 70.

Step-by-step explanation:

we need to use the standard normal distribution table for mean = 0, standard deviation = 1.

to use it for our normal distribution with mean = 81.6 and standard deviation = 7.2 we need to find the transformation from the standard normal distribution to our normal distribution.

this is done by the z-scores of the interval limits (the z-score tells us how many standard deviations the desired value is away from the mean value).

and to correlate the given %-values to the distribution interval limits, we need to look up the corresponding p-value (probability value) in the table.

and then we need to calculate backwards to get our specific interval limits.

for the D-grade we are looking for the upper limit to "below the top 77%", which is "below the bottom 23%".

we have to assume this means "below or equal to the bottom 23%", just in case.

the lower level will be "above the bottom 8%".

so, the p-value for 23% = 0.2300.

that gives us the z-score ≈ -0.74.

z-score = (interval-limit - mean-value)/standard-deviation

-0.74 = (interval-limit - 81.6)/7.2

-0.74×7.2 = interval-limit - 81.6

-5.328 = interval-limit - 81.6

interval-limit = 76.272 ≈ 76

the p-value for 8% = 0.0800.

that gives us the z-score ≈ -1.41

-1.41 = (interval-limit - 81.6)/7.2

-1.41×7.2 = interval-limit - 81.6

-10.152 = interval-limit - 81.6

interval-limit = 71.448 ≈ 71

the students with a score s

71 < s <= 76

get a D.

(greater than 71 but lower or equal to 76).

Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

The population is the total number of people who reside in a specific area. By assessing the population, we can determine the number of organisms and the appropriate course of action. For instance, if we are aware of a city's exact population, we may estimate how many resources are required there.

To calculate the sample size required to estimate a population mean with a certain level of confidence and margin of error, we can use the following formula:

n = [(z*σ)/E]^2

Where:

n = sample size

z = the z-score associated with the desired level of confidence (90% confidence corresponds to z = 1.645)

σ = the population standard deviation

E = the desired margin of error (in this case, E = 1)

Substituting the given values into the formula, we get:

n = [(1.645*5)/1]^2 = 67.65

Rounding up to the nearest whole number, we get a sample size of n = 68.

Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

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Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

The population is the total number of people who reside in a certain area. We can figure out how many organisms there are and what the best course of action is by looking at the population. For example, if we are aware of a city's exact population, we may calculate the amount of resources needed there.

To calculate the sample size required to estimate a population mean with a certain level of confidence and margin of error, we can use the following formula:

n = [(z*σ)/E]²

Where:

n = sample size

z = the z-score associated with the desired level of confidence (90% confidence corresponds to z = 1.645)

σ = the population standard deviation

E = the desired margin of error (in this case, E = 1)

Substituting the given values into the formula, we get:

n = [(1.645*5)/1]² = 67.65

Rounding up to the nearest whole number, we get a sample size of n = 68.

Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

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Answer:

yea i think its right, im not sure tho.

If Lucky received 56 of 180 votes cast, she received 56.  The answer is in the question.