Determine the value of the constant a for which the function f(x) is continuous at -4.

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry,

Given the data:

Total number of peas (n) = 570The number of peas with yellow pods (g) = 110The proportion of peas with yellow pods = 0.25 = p = 25%

We can find the value of the test statistic z using the formula;

`z = (p - g)/√(pq/n)`

where p = 0.25, g = 110, q = 1 - p = 0.75 and n = 570

By substituting the given values in the above formula,

we have:

`z = (p - g)/√(pq/n)

= (0.25 - 110/570) /√(0.25 * 0.75 / 570)

= -3.06`

Therefore, the value of the test statistic z is -3.06 (rounded to two decimal places).

To know more about radius visit:

brainly.com/question/28946570

#SPJ4

The inequality be -4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

If x is an integer number, we have 2,305 solutions.

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.

The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.

Let the given data be 3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get: {-4, 0, 3, 2,300}

Let the inequality be -4 ≤ x ≤ 2,300

The four values in the set {-4, 0, 3, 2,300} exists solutions for our inequality.

Here x exists a real number, then we contain infinite solutions.

If x exists an integer, then the total number of solutions will be equivalent to the number of negative solutions (4) and number of positive solutions (2,300)

the number zero (1)

We would have: 4 + 2,300 + 1 = 2,305 integer solutions.

To learn more about inequality refer to:

https://brainly.com/question/25275758

#SPJ4

The inequality be -4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

If x is an integer number, we have 2,305 solutions.

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.

The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.

Let the given data be 3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get: {-4, 0, 3, 2,300}

Let the inequality be -4 ≤ x ≤ 2,300

The four values in the set {-4, 0, 3, 2,300} exists solutions for our inequality.

Here x exists a real number, then we contain infinite solutions.

If x exists an integer, then the total number of solutions will be equivalent to the number of negative solutions (4) and number of positive solutions (2,300)

the number zero (1)

We would have: 4 + 2,300 + 1 = 2,305 integer solutions.

To learn more about inequality refer to:

brainly.com/question/25275758

#SPJ4

Answer:

y + 8 = -12(x - 8)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (8, -8)

Slope m = -12

Step 2: Write Function

Substitute variables into general form.

y + 8 = -12(x - 8)

Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

5/3 :8/3= 5/3 X3/8 =5/8

Answer:

4

Step-by-step explanation:

26 - 16 = 10

31 - 12 = 19

36 - 8 = 28

41 - X = 37

X = 4

Answer:

Below

Step-by-step explanation:

From 1st to 2nd no is -10  

               then            + 15

               then             -19

                                   +24

                                   -28

                                   +33         the  +'s are going up by 9    and alternating  

                                                         with the - 's which are going down by 9    the number after 41 should be a minus 37  added to the 41  = 4

Answer:

1. Jerome and Jewel Jones are looking to buy their family home for their burgeoning brood. They are looking for a five-bedroom house. The average price of a five- bedroom house is GH¢450,000 in their locality. A bank offers the couple a 15- year mortgage facility at an interest rate of 24.5%. The bank also requires that the instalment payments do not exceed 30% of the couple’s monthly income. What should be the couple’s combined monthly income if they wish to take the facility?

2. You are willing to pay GH¢15,625 now to purchase a perpetuity that will pay you and your heirs GH¢1,250 each year, forever, starting at the end of this year. If your required rate of return does not change, how much would you be willing to pay if this were a 20-year, annual payment, annuity instead of a perpetuity?

3. Desmodus Limited, a toy maker, prepares its accounts to 31 December each year. For the 2017 financial year the company paid a dividend of GH¢0.55 per share. Dividends paid are paid at the end of year but the 2017 were 80% lower than that of the previous year due to a difficult financial year. Members of the com- pany at its annual general meeting agreed not to pay dividends over the next two years and instead pay down the company’s bonds. Dividend payment will resume thereafter at the level of the 2017 dividends for three years. Management be- lieves that the company can afford to increase dividends at a rate of 4% thereafter for the foreseeable future. What is the intrinsic value of the company’s shares at the start of 2019 financial year if firms in the toy industry deliver returns of 13.5% on average?

4. YouhavejustjoinedtheMaaretsGroup,andyourbossasksyoutoreviewarecent analysis that was done to compare three alternative proposals to enhance the firm’s manufacturing facility. You find that the prior analysis ranked the proposals according to their IRR, and recommended the highest IRR option, Proposal A. You are concerned and decide to redo the analysis using NPV to determine whether this recommendation was appropriate. But while you are confident the IRRs were computed correctly, it seems that some of the underlying data regarding the cash flows that were estimated for each proposal was not included in the report. Here is the information you have, all amounts in millions of GH¢ o.:

PROPOSAL IRR YEAR 1 YEAR 2 YEAR 3 YEAR 4

A 60% -100 30 153 88

B 55% ? 0 206 95

C 50% -100 37 0 204+?

(a) Which projects would recommend based on the NPV of each proposal if the appropriate cost of capital is 10%?

(b) Would your recommendations be valid if the company has capital limitation of GH¢285 million? Explain your with appropriate detail.

Step-by-step explanation:

To find the component form of the velocity of the airplane, we need to break down the velocity vector into its horizontal (x) and vertical (y) components.

Given that the airplane is flying 25 degrees west of north at 800 km/h, we can determine the horizontal and vertical components using trigonometry.

The vertical component (Vy) represents the velocity in the north direction, and the horizontal component (Vx) represents the velocity in the east direction.

To calculate Vy, we use the sine function:

Vy = V * sin(θ)

Vy = 800 * sin(25°)

To calculate Vx, we use the cosine function:

Vx = V * cos(θ)

Vx = 800 * cos(25°)

Therefore, the component form of the velocity vector is:

Velocity = (Vx, Vy) = (800 * cos(25°), 800 * sin(25°))

Calculating the values:

Vx ≈ 722.6 km/h

Vy ≈ 342.0 km/h

Hence, the component form of the velocity vector is approximately (722.6 km/h, 342.0 km/h).

Learn more about vector components and trigonometry here:

https://brainly.com/question/29098564

#SPJ11

Answer:

the answer is 36q^7

Step-by-step explanation:

multiply the bases and add the exponents

The length of the edge of the square is increasing at a rate of 12/13 cm/min when the area is 169 cm^2, given that the area of the square is increasing at a rate of 24 cm^2/min.

Let's assume that the side length of the square is represented by "x" and the area of square is represented by "A". Then we have:

A = x^2

Differentiating both sides with respect to time "t", we get:

dA/dt = 2x(dx/dt)

Given that dA/dt = 24 cm^2/min, we can find dx/dt when A = 169 cm^2 (which is the area of a square with side length of 13 cm):

24 = 2(13)(dx/dt)

Simplifying this expression, we get:

dx/dt = 24/(26) = 12/13

Therefore, the length of the edge of the square is increasing at a rate of 12/13 cm/min when the area is 169 cm^2.

To know more about area of a square:

https://brainly.com/question/1658516

#SPJ4

_____The given question is incomplete, the complete question is given below:

The area of a square is increasing at a rate of 24 cm^2/min

How fast is the length of the edge increasing when the area = 64 cm^2

Answer:

Step-by-step explanation:

You'll need to find a way to share the graph or graphs associated with this problem.

The period is 4.  The relationship between period and b (the coefficient of the independent variable of the cosine function) is (period) =(2π.b).  Given that the period here is 4,

       2π                          2π

4 = ---------, and so b = ------- = π/2.

                                       4

So now our y  = a*cos (bx + c) becomes

                    π

y = 10*cos (------x + 0 + 10

                     2

The horizontal center line of this cosine curve is y = 10.  The maximum value of the curve is 20, which is 10 + 10, and the minimum value is 0, which is 10 - 10.

The function that describes the given situation is \(\rm y = 10\;cos\left(\dfrac{\pi}{2}x\right) + 10\) and this can be determined by using the properties of the trigonometric function.

Given :

The following steps can be used in order to determine the function could be the function described:

Step 1 - According to the given data, the cosine function has a period of 4.

Step 2 - Now, the independent variable of the cosine function is given by:

\(\rm 4b = 2\pi\)

\(\rm b =\dfrac{\pi}{2}\)

Step 3 - The maximum value of the cosine function is 1 and the minimum value of the cosine function is -1.

Step 4 - From the above steps, the function that described the given situation is given by:

\(\rm y = 10\;cos\left(\dfrac{\pi}{2}x\right) + 10\)

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/21286835

Answer:

nswer:

= 6 dollars per book

Showing Work

This is a fraction equal to

18 dollars ÷ 3 books

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

18 dollars ÷ 3

3 books ÷ 3

=

6 dollars

1 book

=

6 dollars

book

= 6 dollars per book Step-by-step explanation:

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

For similar question on standard deviation.

https://brainly.com/question/12402189  

#SPJ8

So the valid bounding conditions for the sum of the subset problem are:

0 <= x[i] <= 1 (for all i such that 1 <= i <= n)

∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)

The valid bounding condition for the sum of the subset problem is:

0 <= x[i] <= 1 (for all i such that 1 <= i <= n)

This means that each item can either be included in the subset (x[i] = 1) or not included in the subset (x[i] = 0).

The sum of the weights of the items in the subset should not exceed the maximum capacity constraint, m. So the bounding condition for the weight of the subset is:

∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)

This means that the sum of the weights of the items in the subset should be less than or equal to the maximum capacity constraint.

So the valid bounding conditions for the sum of the subset problem are:

0 <= x[i] <= 1 (for all i such that 1 <= i <= n)

∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)

To learn more about bounding conditions,

visit; brainly.com/question/13201949

#SPJ4

Answer:

(1.333, 0) and (3, 0)

Step-by-step explanation:

Use desmos to input your equations then click on the solutions (zeroes)

Answer:

3 remainder 3

Step-by-step explanation:

Answer:

y > -5

Step-by-step explanation:

the conclusion that all people who live in London like it cannot be drawn solely from the given premises.

The conclusion "all people who live in London are people who like it" does not necessarily follow from the given premises.

While it is true that all people who live in London are people who drink tea, and all people who drink tea are people who like it, this does not necessarily mean that all people who live in London like it.

It is possible that there are people who live in London but do not like it, but they still drink tea because it is a cultural norm or for other reasons.

To know more about cultural norm, refer here:

https://brainly.com/question/17101467

#SPJ11

Answer:

121.666667

Step-by-step explanation:

When 365 is divided by 3 the result or quotient is 121.66.

To calculate 365 divided by 3, we can perform long division:

Set up the division problem.

Determine how many times 3 can fit into the first digit of the dividend (3). The answer is 1.

Bring down the next digit (6) to the right of 3.

Determine how many times 3 can fit into the new number (36). The answer is 12.

Now, bring down the next digit (5) to the right of 12.

Determine how many times 3 can fit into the new number (53). The answer is 17.

Since there are no more digits to bring down, the division is complete.

The final result is: 365 ÷ 3

= 121.666...

Hence, 365 is divided by 3 to get 121.66.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ6

-1/7, since parallel lines have equal slopes.

Given:

Principal value = 1200

Rate of interest = 7% per annum

Time = 3 years

To find:

The simple interest for three years.

Solution:

The formula for simple interest is:

\(S.I.=\dfrac{P\times r\times t}{100}\)

Where, P is the principal value, r is the rate of interest in percentage and t is time in years.

Putting \(P=1200,r=7,t=3\) in the above formula, we get

\(S.I.=\dfrac{1200\times 7\times 3}{100}\)

\(S.I.=12\times 7\times 3\)

\(S.I.=252\)

Therefore, the simple interest for three years is 252.

Answer:  The answers are in the steps

Step-by-step explanation:

x         y        value of y/x

-3        -3            1

1           1             1

3           3             1

The cruise ship has 15 single rooms and 32 double rooms.

A cruise ship has double and single rooms. It has a total of 47 rooms and 79 seats. The best way to solve this problem is to set up a system of linear equations and solve for the variables.

Let x be the number of single rooms and y be the number of double rooms.

Then we can set up two equations based on the information given: x + y = 47 (the total number of rooms is 47) and 1x + 2y = 79 (the total number of seats is 79, and single rooms have one seat while double rooms have two seats).Solving the system of equations:x + y = 47
1x + 2y = 79
Multiplying the first equation by 2 and subtracting it from the second equation, we get:y = 32Substituting this value of y into the first equation, we get:x + 32 = 47x = 15

Therefore, there are 15 single rooms and 32 double rooms on the cruise ship.Answer: The cruise ship has 15 single rooms and 32 double rooms.

Know more about linear equations here,

https://brainly.com/question/12974594

#SPJ11

Step-by-step explanation:

this is answered by "how often does 3/4 fit into 3 1/2 ?".

and that is what division is for :

3 1/2 / 3/4

(3×2 + 1)/2 / 3/4

7/2 / 3/4 = (7×4)/(2×3) = 28/6 = 14/3 = 4 2/3

Maddy can make 4 bows.

and she has some tape left, but not enough to make a 5th.

Answer:

3x2 – 5x + 2 = ( 3x-2)( x-1)

Step-by-step explanation:

I hope this helps you!

Have a nice dayyy <3

Answer:

\((3x-2)(x-1)\)

Step-by-step explanation:

Answer:

A half is not a unit of measure for weight, so it is not possible to answer this question.

d. cylinder a frozen juice can suggests the geometric solid of a cylinder due to its cylindrical shape with circular bases and a curved surface.

A frozen juice can typically has a cylindrical shape, characterized by its circular base and curved sides. The cylindrical shape is suggested by the can's structure, with a constant radius and height throughout.

To further explain, a cylinder is a geometric solid that has two congruent circular bases connected by a curved surface. The frozen juice can perfectly fits this description, as it has a circular lid and bottom, and its sides are formed by the curved surface connecting the two circular bases. The cylinder is known for its uniform cross-section, constant radius, and constant height, which are also present in the frozen juice can.

a frozen juice can suggests the geometric solid of a cylinder due to its cylindrical shape with circular bases and a curved surface.

To know more about curved surface follow the link:

https://brainly.com/question/30253224

#SPJ11

The speed is:

Work/explanation:

To find the train's speed, we use the formula:

\(\large\textsl{$Speed=\dfrac{distance}{time}$}\)

In our case, the distance is 400 miles, and the time is 2 hours.

So, I plug in the data:

\(\large\text{$Speed=\dfrac{400}{2}$}\)

\(\large\text{$Speed=200\:mph$}\)

Hence, the train's speed is 200 mph.

Answer:

200 mph (321.87 km/h)

Explanation:

If a train travels 400 miles in two hours, it would travel half of that in one hour (\(400\) ÷ \(2\)) which is 200 miles. To convert mph to km/h, just multiply by 1.61 (to be exact, 1.60934).

Step-by-step explanation:

price difference= $45-$36

=$9

now,

x% of $45=$9

or, x/100 ×45 =9

or, x/20 ×9=9

or, x/20=1

therefore, x= 20%