Guys This is one of the most difficult question .
I salute the person who answer it correctly
The question goes like this :

The present price of a Camera is $32400. After day to day use, its price depriciates !! in such a way that its price will be $0 in 12 years ,, Then calculate the ptice of the Camera after 4 years. ​

Answer:

I believe 38

Step-by-step explanation:

Every triangle adds up to 180 so subtract 180 from 104

180-104=76

76/2=38

Since <1 and<2 are congruent then <1 would be 38

Hope this helped!

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Find the values at which the rational function is undefined before you can graph it.Any values that would result in a denominator of zero for a function are undefined.

f(x) Equals x in Example 1. (x - 3).

The graph of the function.

From the given graph , the vertical asymptote is at x=2

Lets find out the vertical asymptote of each function

To find out vertical asymptote we set the denominator =0

f(x) = 1/2x

2x = 0

x= 0

The second function has vertical asymptote at x=2

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The area of the triangle from the parallelogram is; 14 sq.units

To find the area of the triangle, let us first of all think of the given lines extended to form a parallelogram.

Now, we know that the diagonal of a parallelogram divides the parallelogram into two equal triangles and as such half of the area of a parallelogram equals the area of the half triangle it forms.

Formula for area of parallelogram is;

A_p = Base * height

Base = 7 units

Height = 4 units

Thus;

A_p = 7 * 4

A_p = 28 sq.units

Thus;

Area of triangle = ¹/₂ * 28

Area of triangle = 14 sq.units

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Answer:

-1/4x

Step-by-step explanation:

Answer:9

Step-by-step explanation:

6/4 = x/6

4x=36

4x/4 36/4

x=9

The length of the segment DC will be 9 units.

A two dimensional shape made up of the three sides and making an angle of 180 degrees is called as triangle.

Given that:-

The length of DC will be calculated by using the ratios:-

6/4 = x/6

4x=36

4x/4 36/4

x=9

Therefore the length of the segment DC will be 9 units.

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The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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it's already simplified

Answer:

B.

Step-by-step explanation:

B has no repeating values for t

Answer:

Percent of Total number of successful throw = 65%

Step-by-step explanation:

Given:

Total number of successful throw = 13

Total number of throw = 20

Find:

Percent of Total number of successful throw

Computation:

Percent of Total number of successful throw = [Total number of successful throw / Total number of throw]100

Percent of Total number of successful throw = [13/20]100

Percent of Total number of successful throw = 65%

The scale factor of the dilation of the triangles is 2

From the question, we have the following parameters that can be used in our computation:

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

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Answer: combine

Step-by-step explanation:

When you combine like terms, it shortens or simplified the equation

Example: 2x-5+15

Combine actual numbers -5 and 15.

2x+10

To achieve a 95% margin of error less than 5%, we need a sample size of at least  385 residents.

To determine the sample size needed for a 95% margin of error less than 5%, we can use the formula for sample size calculation in survey research. The formula is given by:

n = (Z^2 * p * (1-p)) / E^2

Where:

n is the required sample size

Z is the z-score corresponding to the desired confidence level (for 95% confidence level, Z ≈ 1.96)

p is the estimated proportion of the population with the characteristic of interest (since we don't have an estimate, we can assume p = 0.5 to get a conservative estimate)

E is the desired margin of error (in decimal form, so 5% becomes 0.05)

Substituting the values into the formula:

n = (1.96^2 * 0.5 * (1-0.5)) / 0.05^2

n ≈ 384.16

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

n = 385

Therefore, we would need to survey at least 385 randomly sampled residents to achieve a 95% margin of error less than 5%.

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Answer:

$2 is the cost

Step-by-step explanation:

hope this helped <3

The probability that at least one child among the 3 will get influenza is 0.07.

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given,

3 children in a village ages 3, 5, and 7 are vaccinated with the qiv vaccine

Probability that at least one child among the 3 will get influenza

P(at least one child among the 3 will get influenza)

=  1 - P(no one have influenza)

= 1 - (1- 0.0.378)(1-0.017)²

= 1 - 0.93

= 0.07

The probability that at least one child among the 3 will get influenza is 0.07.

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Answer:

   A=312m

Step-by-step explanation:

View image attached

Answer:

A) The percent increase is by 30%.

B) for the original price = 15%.

B2.0) for the existing price (39) = approximately 11.54%.

Step-by-step explanation:

A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.

B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).

The factors of the given expression would be = (x + 2), (x – 3) and (x + 5).

Factorisation of equations is defined as the expression of a given equation as a product of several other factors.

From the equation given; x³ 4x² 11x 30. it's factorisation would be done by getting the first root by trial and error method∶

Since the sum of the coefficients is not zero, 1 is not a root

Let x = -2

⇒ -8 + 16 + 22 – 30 = 0

∴ -2 is or (x + 2) is a factor

Dividing x3 + 4x2 – 11x – 30 by (x + 2)

Quotient = x2 + 2x – 15

⇒ x2 + 5x – 3x – 15 = 0

⇒ x (x + 5) – 3 (x + 5) = 0

⇒ (x – 3) (x + 5) = 0

Other factors are (x – 3) and (x + 5)

∴ (x + 2), (x – 3) and (x + 5) are the roots of the equation

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The equation that shows the relationship is w = 38m.

If Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:

w = km

where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.

We are given that k = 38, so we can substitute this value into the formula to get:

w = 38m

Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.

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Answer:

1.25 or 2+2=4

Step-by-step explanation:

Look up the explanation or just pay attention in class

rate 5 stars

The variance for the given sample data is approximately 90.77.

To find the variance for the given sample data, we can follow these steps:

Calculate the mean (average) of the data:
  mean = (53 + 52 + 75 + 62 + 68 + 58 + 49 + 49) / 8 = 59.25

Calculate the difference between each data point and the mean:
  deviations = (53 - 59.25), (52 - 59.25), (75 - 59.25), (62 - 59.25), (68 - 59.25), (58 - 59.25), (49 - 59.25), (49 - 59.25)
             = -6.25, -7.25, 15.75, 2.75, 8.75, -1.25, -10.25, -10.25

Square each deviation:
  squared deviations = (-6.25)², (-7.25)², (15.75)², (2.75)², (8.75)², (-1.25)², (-10.25)², (-10.25)²
                     = 39.06, 52.56, 248.06, 7.56, 76.56, 1.56, 105.06, 105.06

Calculate the sum of the squared deviations:
  sum of squared deviations = 39.06 + 52.56 + 248.06 + 7.56 + 76.56 + 1.56 + 105.06 + 105.06
                            = 635.4

Divide the sum of squared deviations by the number of data points minus one (n-1):
  variance = sum of squared deviations / (n-1)
           = 635.4 / (8-1)
           = 90.77

Therefore, the variance for the given sample data is approximately 90.77.

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Answer:

9 laps

Step-by-step explanation:

75% of something is the same as three-fourths, or multiplying by 0.75

12 x 0.75 = 9

or you can divide by 4 and then multiply by three if you know what to separate the original number into

12/4 = 3     3 x 3 = 9

Answer:

x = 1

Step-by-step explanation:

6(x+4)=30    (divide both sides by 6)

(x+4) = 30/6

x+4 = 5   (subtract 4 from both sides)

x = 5 - 4

x = 1

Step-by-step explanation: 6(x+4)=30

(Distributive property): 6x+24=30

( Transposition method): 6x=30-24( + becomes -) 6x=6

(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1

The position of the mass in the undamped spring-mass system can be represented by the equation u(t) = (A cos(ωt) + B sin(ωt)) / k. Therefore, position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

In this case, the external force acting on the system is 108 cos(4t) lb. To determine the position of the mass, we need to solve the differential equation that represents the motion of the system.

Using Newton's second law, F = ma, and considering that the mass m = 24 lb, the equation becomes:

24 * d^2u/dt^2 = 108 cos(4t)

Simplifying, we have:

d^2u/dt^2 = 4.5 cos(4t)

This is a second-order linear homogeneous differential equation with a constant coefficient. The solution to this equation will be a linear combination of the homogeneous and particular solutions.

The homogeneous solution, representing the free oscillation of the system, is u_h(t) = C1 cos(2t) + C2 sin(2t).

The particular solution, representing the forced motion caused by the external force, can be assumed in the form u_p(t) = A cos(4t) + B sin(4t).

By substituting u_p(t) into the differential equation, we can determine the values of A and B.

Solving the differential equation for the particular solution, we find:

A = 18 and B = 0

The complete solution for the position of the mass in feet is:

u(t) = (18 cos(4t)) / 4

Simplifying further, we get:

u(t) = 4.5 cos(4t)

Therefore, the position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

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Answer:

-4.5

Step-by-step explanation:

-9/2= -4.5

The probability is that less than 329 of the selected students use iPhones at a local college, and 80% of all students use iPhones.

Thus, the probability of using an iPhone by a student is p = 0.8 and the probability of not using an iPhone is q = 1 - p = 0.2. Here, the sample size is n = 400. Because the sample size is large, we can use the normal approximation to the binomial distribution.

Therefore, the mean and variance of the number of students using iPhones in the sample of 400 students are as follows:μ = np = 400 × 0.8 = 320σ² = npq = 400 × 0.8 × 0.2 = 64The standard deviation is σ = √σ² = √64 = 8

Now, we can use the standard normal distribution to calculate the probability that less than 329 students use iPhones in the sample of 400 students. We calculate the z-score:z = (x - μ) / σ = (329 - 320) / 8 = 1.125Since we are calculating the probability that less than 329 students use iPhones, we need to find the area under the standard normal curve to the left of z = 1.125.

We can use standard normal distribution tables to find this probability. We find the value of 0.8708. So, the probability that less than 329 students use iPhones is 0.8708.

Therefore, Probability = 0.8708 (correct to four decimal places).

Thus, the probability that less than 329 of the selected students use iPhones is 0.8708.b) Probability that more than 370 of the selected students use iPhone

Here, the sample size is n = 450.

Using the same method, the mean and variance of the number of students using iPhones in the sample of 450 students are as follows:μ = np = 450 × 0.8 = 360σ² = npq = 450 × 0.8 × 0.2 = 72

The standard deviation is σ = √σ² = √72 ≈ 8.49

Now, we can use the standard normal distribution to calculate the probability that more than 370 students use iPhones in the sample of 450 students.

We calculate the z-score:z = (x - μ) / σ = (370 - 360) / 8.49 = 1.177Since we are calculating the probability that more than 370 students use iPhones, we need to find the area under the standard normal curve to the right of z = 1.177. We can use standard normal distribution tables to find this probability.

We find the value of 0.1198.

So, the probability that more than 370 students use iPhones is 0.1198. Therefore, Probability = 0.1198 (correct to four decimal places)Thus, the probability that more than 370 of the selected students use iPhones is 0.1198.

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Answer:

3:31

Step-by-step explanation: