Solve by completing the square.
u²+26u - 49 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals
rounded to the nearest hundredth.
U =
Submit
or u =

Answer:

The values are calculated with the help of table.

Step-by-step explanation:

We are given the following information in the question:

A table is shown showing trees on two different plots of land which are tested for disease.

     Tree:        1           2           3           4          5           6          7        

      Plot:         A          A           B           B         B           A          B

Disease:        Y          N           Y           Y          Y          N         N

We have to find:

Calculating from the table, we can fill the values as:

                                              Plot A                Plot B

Disease Present                        1                          3

Disease not Present                2                          1

The perimeter of the semicircle is 66. 846 meters

The formula for finding the perimeter of a semicircle is

Perimeter = πr + 2r

We were given diameter = 26meters

Radius, r = diameter/2

radius = 26/ 2 = 13 meters

π = 3. 142

Substitute value into the formula

Perimeter = 3. 142 × 13 + 2 × 13

Perimeter = 40. 846 + 26

Perimeter = 66. 846 meters

Thus, the perimeter of the semicircle is 66. 846 meters

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The residual for the amount of monthly interest paid on a loan after 30 months is $0.13.

To find the residual, we need to compare the actual value of monthly interest paid after 30 months with the predicted value based on the regression equation.

The regression equation is:

monthly interest = 968 - 3.34x

To find the predicted value for 30 months, we substitute x = 30 into the equation:

monthly interest = 968 - 3.34(30) = 865.8

So the predicted value for monthly interest after 30 months is $865.8.

The residual is the discrepancy between the actual and expected values:

residual = actual value - predicted value

residual = $865.93 - $865.8 = $0.13

Therefore, the residual for the amount of monthly interest paid on a loan after 30 months is $0.13.

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Answer:

-10

Step-by-step explanation:

follow p

 Here is the two-way table and the marginal frequencies in bracket:                          

                                 Like hamburger    do not like hamburger      Total

Like hot dog                    46(0.16)             54 (0.10)                        100(0.36)

Do not like hot dog          83(0.30)           95 (0.34)                        178(0.64)

Total                                 129 (0.46)             149 (0.54)                  278(1)

Number of people who like hamburger but do not like hot dog = 129 - 46 = 83

Number of people who do not like hamburger and do not like hot dog = 149 - 54 = 95

Total number of people who like hot dog = 46 + 54 = 100

Total number of people who do not like hot dog = 83 + 95 = 178

Total = 100 + 178 = 278

The marginal frequency can be determined by dividing each number by the total number of people in the survey.

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Answer:

x=4, y=3. (4, 3).

Step-by-step explanation:

-3y=-2x-1

y=x-1

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

-3(x-1)=-2x-1

-3x+3=-2x-1

-3x-(-2x)+3=-1

-3x+2x=-1-3

-x=-4

x=4

y=4-1=3

Answer:

y=-5x+3

Step-by-step explanation:

Answer: Y = -3x

Step-by-step explanation:not needed

To obtain an expression for g(s) unit step function is:

a)

b)

c)

(a) To obtain an expression for g(s) given g(t) = [su(0)]^2 - u(t), we can start by replacing t with s in the given expression for g(t):

g(s) = [su(0)]^2 - u(s)

Here, u(s) is the unit step function, which is equal to 1 for s > 0 and 0 for s < 0. Therefore, we can simplify the expression for g(s) as follows:

For s ≥ 0: g(s) = [su(0)]^2 - u(s) = s^2 - 1

For s < 0: g(s) = [su(0)]^2 - u(s) = 0 - 0 = 0

Therefore, the expression for g(s) is:

g(s) = s^2 - 1, for s ≥ 0

g(s) = 0, for s < 0

(b) To obtain an expression for g(s) given g(t) = 2u(t) - 2u(t - 2), we can start by replacing t with s in the given expression for g(t):

g(s) = 2u(s) - 2u(s - 2)

Here, u(s) and u(s-2) are both unit step functions, which are equal to 1 for s > 0 and 0 for s < 0. Therefore, we can simplify the expression for g(s) as follows:

For s < 0: g(s) = 0 - 0 = 0

For 0 ≤ s < 2: g(s) = 2u(s) - 0 = 2

For s ≥ 2: g(s) = 2u(s) - 2u(s - 2) = 2 - 2 = 0

Therefore, the expression for g(s) is:

g(s) = 2, for 0 ≤ s < 2

g(s) = 0, for s < 0 or s ≥ 2

(c) To obtain an expression for g(s) given g(t) = tu(2t), we can start by replacing t with s/2 in the given expression for g(t):

g(s) = (s/2)u(s)

Here, u(s) is the unit step function, which is equal to 1 for s > 0 and 0 for s < 0. Therefore, we can simplify the expression for g(s) as follows:

For s ≤ 0: g(s) = (s/2)u(s) = 0

For s > 0: g(s) = (s/2)u(s) = (s/2)

Therefore, the expression for g(s) is:

g(s) = (s/2), for s > 0

g(s) = 0, for s ≤ 0

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(a)  \(g(s) = [su(0)]^2/s - 1/s\)

(b) \(g(s) = 2/s - 2 * e^(-2s) / s\)

(c) \(g(s) = -1 / (2s^2)\)

(a) \(g(t) = [su(0)]^2 - u(t):\)

To obtain g(s), use Laplace transform of g(t) with respect to t. Recall that the Laplace transform of u(t) is 1/s, and the Laplace transform of \(t*u(t)\) is \(1/s^2\). Therefore, we have:

\(g(s) = L{[su(0)]^2 - u(t)} = [su(0)]^2 * L{1} - L{u(t)} = [su(0)]^2 * 1/s - 1/s\)

So the expression for g(s) is:

\(g(s) = [su(0)]^2/s - 1/s\)

(b) g(t) = 2u(t) - 2u(t - 2):

Using the properties of the Laplace transform, we have:

\(g(s) = L{2u(t) - 2u(t - 2)} = 2 * L{u(t)} - 2 * L{u(t - 2)} = 2/s - 2 * e^(-2s) / s\)

So the expression for g(s) is:

\(g(s) = 2/s - 2 * e^(-2s) / s\)

(c) g(t) = tu(2t):

Applying the properties of the Laplace transform, we have:

\(g(s) = L{tu(2t)} = -d/ds (L{u(2t)}) = -d/ds (1 / (2s)) = -1 / (2s^2)\)

So the expression for g(s) is:

\(g(s) = -1 / (2s^2)\)

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Verifying Identity with a calculator requires an individual to enter specific numerical values into a calculator and then solve a given equation. This can be used to prove the validity of an equation, or the accuracy of a given answer.

The equation is typically written in algebraic form and includes numerical values.Verifying Identity with a calculator requires an individual to enter specific numerical values into a calculator and then solve a given equation. This can be used to prove the validity of an equation, or the accuracy of a given answer. For example, if an individual is asked to verify the identity \(sin^2x + cos^2x\)= 1, they will be given numerical values to plug into the equation. For example, if they are given x = 60, they would enter\((sin60)^2 + (cos60)^2\) into the calculator and solve. This should result in an answer of 1, proving the equation is accurate.

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Answer:

what did not understand (im a bot)

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

they are parallel so same slope but different y intercepts

The dimensions are as follows

14

x = 21

GK = 167

HJ = 98

HGJ = 159

GKJ = 201

15.

x = 9

AD = 108

BC = 23

DC = 139

DCB = 162

The value of x is solved using the concept of angles in a point and this is 360 degrees

Figure 14

9x - 22 + 61 + 5x - 7 + 34 = 360

collecting like terms

9x + 5x  - 22 + 61  - 7 + 34 = 360

solving for x

14x + 66 = 360

14x = 360 - 66

x = 294 / 14

x = 21

GK = 9x - 22 = 9 * 21 - 22 = 167

HJ = 5x - 7 = 5 * 21 - 7 = 98

HGJ = GH + HJ = 61 + 98 = 159

GKJ = GK + KJ = 167 + 34 = 201

15.

12x + 17x - 14 + 2x + 5 + 90 = 360

collecting like terms

12x + 17x + 2x - 14 + 5 + 90 = 360

solving for x

31x + 89 = 360

31x = 360 - 81

x = 279 / 31

x = 9

AD = 12x = 12 * 9 = 108

BC = 2x + 5 = 2 * 9 + 5 = 23

DC = 17x - 14 = 17 * 9 - 14 = 139

DCB = DC + CB = 23 + 139 = 162

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how?

Therefore, the estimated cost of tuition and fees in the year 2024-2025 academic year would be $11300.

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Tuition and fees are expected to cost $11300 in the 2024-2025 academic year.

Therefore,

2015 -16:  $9500

2020-21:  $10500, the difference between the fees of the academic year is,

10500 - 9500= 1000.

The fee in increase per year in the 5 years ( 2015 to 2020)= 1000/ 5= 200

2020 -21: $10500

2024 -25:

The fees increase per year is $200.

Therefore, in 4 years (2020 to 2025), the fees have increased by $200/ per for 4 yrs.

$10500 + ($200/ yr x 4 yr)

= $11300.

Therefore, the estimated cost of tuition and fees in the year 2024-2025 academic year would be $11300.

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A sample size of 17 is required to construct a 90% confidence interval for a population proportion with an error of 0.2.

To determine the sample size required to construct a 90% confidence interval for a population proportion with an error of 0.2 (or 20%), we need to use the formula for sample size calculation in proportion estimation.

The formula for sample size in proportion estimation is:

n = (Z² * p * q) / E²

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (90% confidence level corresponds to a Z-score of approximately 1.645)

p = estimated or assumed population proportion (since there is no knowledge about the population proportion, we can assume a conservative value of 0.5 to get the maximum sample size)

q = 1 - p (complement of p)

E = desired margin of error (0.2 or 20% in this case)

Substituting the values into the formula:

n = (1.645² * 0.5 * (1 - 0.5)) / 0.2²

n = (2.705 * 0.5 * 0.5) / 0.04

n = 0.67625 / 0.04

n ≈ 16.90625

Since the sample size must be a whole number, we round up the result to the nearest whole number:

n = 17

Therefore, a sample size of 17 is required to construct a 90% confidence interval for a population proportion with an error of 0.2.

It's important to note that this calculation assumes maximum variability in the population proportion (p = 0.5) to ensure a conservative estimate. If there is any information or prior knowledge available about the population proportion, it should be used to refine the sample size calculation.

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According to the given question -12 \(\times\) 2/3 is equal to -8.

There are certain rules to solve this question.

multiply -12 × 2 = -24

And,

then divide it by 3 as stated in the denominator.

\(\frac{-24}{3}\) = -8

This is how we solve this equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

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Answer:

c

Step-by-step explanation:

if I understand this right, then the expression is

2×sqrt(28) - 5×sqrt(63)

let's look for squared factors in the numbers under the square roots.

28 = 4×7 (4 is a squared number)

63 = 9×7 (9 is a squared number)

so,

2×sqrt(4×7) - 5×sqrt(9×7) =

= 2×2×sqrt(7) - 5×3×sqrt(7) = 4×sqrt(7) - 15×sqrt(7) =

= (4 - 15)×sqrt(7) = -11×sqrt(7)

Answer:

6:5

I guess that's the answer because 2*3/5

Answer:

A = 303.4

Step-by-step explanation:

A=2 (w l + h l + h w)

= 2 x (5x4.3 + 14x4.3 + 14x5) = 303.4

Area of hexagon

Area of Rectangles (6):-

Total SurfAce area

Answer:

4) y + 3 = 6x

Step-by-step explanation:

The y-intercept of your graph is (0, -3)

Putting 4) in standard form:

y = 6x - 3 the y-intercept is also (0, -3)

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Answer:

9

Step-by-step explanation:

d=rt

12x45/60

12x0.75

9=d

Answer:

Step-by-step explanation:

Answer:

8 years

Step-by-step explanation:

Currently

Abebe → 12 years old

Aster → 2 years

With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.

Difference in ages

= 12 -2

= 10

Let the age of Aster be x years old when Abebe is twice her age.

Abebe → 2x years old

Aster → x years old

Difference in age

= 2x -x

= x

x= 10

Aster is 10 years old when Abebe is twice her age.

Number of years passed

= 10 -2

= 8

Thus, Abebe will be twice as old as her sister in 8 years.

Answer:

Step-by-step explanation:

tan x = ( sin x ) / ( cos x )

tan²x + 1 = sec²x

sec x = ± √(tan²x + 1)

sec x = 1 / cos x

~~~~~~~~~~~~

tan x = 4 and sin x < 0

cos x - ?

If tan x > 0 and sin x < 0 ⇒ cos x < 0

sec²x = 16 + 1 = 17 ⇒ cos²x = \(\frac{1}{17}\)

cos x = - \(\frac{\sqrt{17} }{17}\)

To find a decimal approximation for the trigonometric function, we have to use a calculator.

\(The trigonometric function is given by the expression:$$\sec 55^\circ 18'$$\)

Using a calculator: We enter the value $55.3$ in the calculator as the function requires the angle to be in decimal form.

Now, press the sec button which would give the answer.

Hence, we have:\[\sec 55^\circ 18' \approx 1.902\]

Using a scientific calculator or the trigonometric function buttons on a calculator, follow these steps:

Make sure your calculator is set to degree mode.

Enter 55.18 on the calculator.

Press the sec (secant) function button.

Read the displayed value.

will depend on the specific calculator used.

Here is an example of the decimal approximation:

Please note that the actual decimal approximation may vary slightly depending on the calculator and its settings.

Therefore, the decimal approximation of\(Hence, we have:\[\sec 55^\circ 18' \approx 1.902\]\) the trigonometric function is approximately equal to $1.902$.

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Based on the data collected from the 75 randomly selected students at CSUF, the average amount of sleep they obtained on a typical night was 6.9 hours, with a standard deviation of 1.482 hours. This means that the majority of students at CSUF are sleeping between 5.4 and 8.4 hours per night, as 68% of the data falls within one standard deviation of the mean.

To answer the question of whether the average amount of sleep is less than the recommended eight hours, we need to look at the lower end of the range. The data shows that 6.9 hours is significantly less than the recommended eight hours of sleep per night. This indicates that the average amount of sleep obtained by CSUF students is less than the recommended amount.

To estimate the average amount of sleep for all CSUF students, we can use the data collected from the 75 students and calculate a confidence interval. This interval will give us a range of values that we can be confident contains the true average amount of sleep for all CSUF students.

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answer

\( {36k}^{2} - 1\)

using identity

\((a + b)(a - b) = {a}^{2} - {b}^{2} \)

let a=6k and b=1

we get

\((6k + 1)(6k - 1)\)

hope you are satisfied