5. aerial photographs at a scale of 1:6000 are required to cover an area 6 x 6 mi2. the camera has a focal length 6 inches and focal plane dimensions of 9 x 9 in. if end overlap is 60% and side overlap 30%, how many photos will be required to cover the area for the given data?

Answer:

11. ASA

12. SSS

13. SAS

14. SAS

15. Not congruent

16. SAS

Step-by-step explanation:

11.

12, Oppositely congruent

13. indirectly congruent

14. Indirectly congruent

15.

16. Directly congruent

DeMorgan's Theorem states that the negation of a logical disjunction is equivalent to the conjunction of their negations, and the negation of a logical conjunction is equivalent to the disjunction of their negations. By applying DeMorgan's Theorem, the equations can be rewritten as follows:

(a) Y = ABC can be written as Y = A' + B' + C' (Complement of ABC = A' + B' + C')

(b) Y = A + B + C can be written as Y = A' * B' * C' (Complement of A + B + C = A' * B' * C')

(c) Y = A + B can be written as Y = A' * B' (Complement of A + B = A' * B')

(d) Y = A' * B' * C' * D' can be written as Y = (A + B + C + D)' (Complement of A' * B' * C' * D' = (A + B + C + D)')

(e) Y = AB + BC + BD can be simplified using the Quine-McCluskey method to Y = AB + B(C + D)

(f) Y = A(AB + CD') can be simplified using the Quine-McCluskey method to Y = AB + AC'D'

In summary, applying DeMorgan's Theorem and simplifying the equations using the Quine-McCluskey method leads to alternative forms that express the same logical relationships.

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Answer:

a = 1.07

b = 1.96

r = 96%

Step-by-step explanation:

In an exponential function, modeled by f(x) = a(b)ˣ, a is the initial value and b is the growth factor. If we apply this formula to the given function y = 1.07(1.96)ˣ, we can see that the initial value, a, is 1.07, and the growth factor, b, is 1.96.

Now, to break down b, 1.96, into a rate, you simply set it equal to the problem’s given (1 + r) equation to find the rate.

1.96 = 1 + r

So r = .96

Now, we just have to convert .96 into a percentage to get a growth rate of 96%.

The first five terms of the arithmetic sequence with a1 = 28 and d = 10 are 28, 38, 48, 58, and 68. The first five terms of the arithmetic sequence with a1 = -34 and d = -10 are -34, -44, -54, -64, and -74.

The first five terms of the arithmetic sequence with a1 = 35 and d = 4 are 35, 39, 43, 47, 51.The first five terms of the arithmetic sequence with a1 = 2 and d = 3k are: 2, 2 + 3k, 2 + 6k, 2 + 9k, 2 + 12k.The first five terms of the arithmetic sequence with a1 = 1/6 and d = 1/2 are: 1/6, 1/6 + 1/2, 1/6 + 1, 1/6 + 3/2, 1/6 + 2.

To find the first five terms of an arithmetic sequence, we start with the given first term (a1) and add the common difference (d) successively to obtain the subsequent terms. In each case, we use the given values of a1 and d to calculate the corresponding terms by adding the appropriate multiples of d to a1.

The resulting sequence of terms represents the arithmetic sequence. By applying this process to each given scenario, we obtain the first five terms for each arithmetic sequence as listed above.

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The data described, the number of televisions in different households, is discrete.

discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.

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Answer:

60 : 12

90 : 18

120 : 24

150 : 30

Answer:

The angle of incline is: 270°

Step-by-step explanation:

The slope of (9, 3) and (9, -6) is undefined,

but the angle of incline is 270°.

Answer:

the answer is $22.32

Step-by-step explanation:

Answer:

$22.32

Step-by-step explanation:

Answer:

multiply on by 3.

Step-by-step explanation:

Term to term rule is multiply on by 3

Difference in the population mean strength of four different mixtures using a 2.5% level of significance. A 1% significance level test is performed to evaluate if there is evidence of a difference.

(a) In the first case study, a significance test is conducted at a 2.5% level of significance to determine if there is a significant difference in the population mean strength of four different mixtures. This involves comparing the variation between the groups (mixture means) and the variation within the groups (error) using an F-test.

(b) In the second case study, an ANOVA table is constructed to analyze the efficacy of three different washing fluids in reducing germ growth in 23-liter milk containers. The ANOVA table includes sources of variation such as washing fluids and error. The sum of squares, degrees of freedom, mean squares, and F-values are calculated. A 1% significance level test is then performed to determine if there is sufficient evidence to conclude that there is a difference between the population mean of each washing fluid.

For the third case study, an analysis of variance (ANOVA) is conducted at a 5% significance level to compare the mean lifetimes of three different brands of car batteries. The lifetimes of batteries from each brand are recorded for a sample of 15 cars divided into three groups. The ANOVA test examines the variation between the groups (brands) and within the groups (error) to determine if there is a significant difference in the mean lifetimes of the batteries for the three brands.

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The radius of the new cylindrical tank should be approximately 27.78 meters in order to have a volume 20% greater than the original tank while maintaining the same height.

To find the radius of the new cylindrical tank, we can start by calculating the volume of the original tank and then determine the desired volume for the new tank.

Height of the original tank (h) = 15 m

Radius of the original tank (r) = 8 m

Volume of the original tank (V) = πr²h

Let's calculate the volume of the original tank:

V = π * (8²) * 15

V = 3.14 * 64 * 15

V = 30144 m³

Now, let's determine the desired volume for the new tank, which is 20% greater than the original tank's volume:

Desired volume (V_desired) = V + 0.2 * V

V_desired = 1.2 * V

V_desired = 1.2 * 30144

V_desired = 36172.8 m³

Now, we can use the formula for the volume of a cylinder to find the radius of the new tank:

V_desired = π * (radius²) * 15

Plugging in the values:

36172.8 = π * (radius²) * 15

To isolate the radius, we divide both sides by π * 15:

radius² = 36172.8 / (π * 15)

radius² = 770.98

Taking the square root of both sides:

radius ≈ √770.98

radius ≈ 27.78 m

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It will take God approximately 32 days to use up all the gas in his tanker and need a refill.

If God filled his gas tanker with 19/5/9 tank of gas and uses 1 5/6 gallons of gas each day, we can calculate how many days it will take for him to need a refill.

First, we need to convert the mixed number 19/5/9 to an improper fraction:

19/5/9 = (19 * 9 + 5) / 9 = 176/9

So God has 176/9 tanks of gas in his tanker.

Next, we can calculate how much gas God uses each day:

1 5/6 = (6 * 1 + 5) / 6 = 11/6

So God uses 11/6 gallons of gas each day.

To find out how many days it will take for God to need a refill, we can divide the amount of gas in his tanker by the amount of gas he uses each day:

(176/9) / (11/6) = (176/9) * (6/11) = 32

Therefore, it will take God approximately 32 days to use up all the gas in his tanker and need a refill.

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Answer

100

Step-by-step explanation:

bxh is the formula for area of the triangle (base_

so 5x4=20

20x5 (height) = 100

Answer:

80 cm

Step-by-step explanation:

formula

b x h x .5

b= the area of the base

Answer:

-1, 0, 1, 2, 3

Step-by-step explanation:

Solve two equations:

-5 < 2n-1 => -4 < 2n => n > -2

and

2n-1 ≤ 5 => 2n ≤ 6 => n ≤ 3

so

-2 < n ≤ 3

then enumerate the possible values for n

-1, 0, 1, 2, 3

Answer:

My answer is in the photo above

The domain and range of this square root function y = 5/2√(-5x + 1) - 87 are as follows;

Domain = {x|x ≤ 1/5}.

Range = {y|y ≥ -87}.

The domain and range of this square root function y = -315√(11x - 3) - 15/88 are as follows;

Domain = {x|x ≥ 3/11}.

Range = {y|y ≤ -15/88}.

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached below for the given square root function y = 5/2√(-5x + 1) - 87 and y = -315√(11x - 3) - 15/88, we can reasonably and logically deduce the following domain and range:

Domain = {-∞, 1/5} or {x|x ≤ 1/5}.

Range = {-87, ∞} or {y|y ≥ -87}.

Domain = {3/11, ∞} or {x|x ≥ 3/11}.

Range = {-∞, -15/88} or {y|y ≤ -15/88}.

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Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Given a function of two variables, n and k, denoted as h(n, k), the function describes a mathematical relationship or operation that depends on the values of both n and k. Further details about the specific function, its definition, or purpose are required to provide a more comprehensive explanation.

A function of two variables, h(n, k), typically represents a mathematical relationship or operation that involves two independent variables, n and k. The specific form and purpose of the function can vary widely depending on the context or problem at hand.

To understand the behavior and properties of the function h(n, k), additional information is needed. This may include the mathematical expression defining the function, any constraints or conditions on the variables, and the intended interpretation or application of the function.

The function h(n, k) could represent various scenarios, such as a cost function in economics, a probability distribution in statistics, or a mathematical model in a scientific context. Without more details, it is challenging to provide a specific explanation or analysis of the function and its implications.

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how do i find a functions formula when dealing with word problems?​

I will be depend on the situation given in the problem

For example :

if the wage is 50

We can use algebra to solve this problems as the angles are algebraic expressions. First we have to calculate the value of x and then substitute to get ∠A and ∠B. Here value of x is 3.

Here two vertical angles are given. Vertical angles are the opposite angles formed when two lines intersect. So the angles will be equal.

So ∠A = ∠B

Here ∠A = 4x+3

         ∠B = 7x+4

   ∠A = ∠B

So, 4x+3 = 7x+4

Here they are two algebraic equations and the value of x can be calculated.

  4x+ 13 = 7x+ 4

    13 - 4 = 7x - 4x

       9 = 3x

       x = 9/3 = 3

So ∠ A = 4x+13 = 4× 3 + 13 = 12 + 13 = 25°

      ∠B = 7x+ 4 = 7×3 + 4 = 25°

So the vertical angles  A and B are equal and will be 25° and value of x = 3.

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The complete question is given below.

∠A and ∠B are vertical angles. If ∠A = (4x+13)° and ∠B = (7x+4)°, then

a) Find the value of x

b) Find the angles ∠A and ∠B.

Answer:

there is a a 3% chance one doesnt turn out

Step-by-step explanation:

There is a one percent chance because 3(97/100)= 291/300 simplified we get back to 97/100 which is equal to 97%, 100-97=3 giving us 3%.

To model the decrease in the value of the car over time, we can use an exponential function of the form:

V(t) = V(0) * e^(-rt)

where:

V(0) is the initial value of the car (in this case, $20,000).

r is the annual rate of depreciation, expressed as a decimal (in this case, 0.103).

t is the number of years since the car was purchased.

Plugging in the given values, we get:

V(t) = $20,000 * e^(-0.103t)

This is the exponential function that models the value of the car in t years.

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Answer:

i think its 30.36

Step-by-step explanation:

Answer:

Step-by-step explanation:

112 × 0.34 = 38.08

The value of K is 20

The LHS (Left Hand Side) reduces to 2 x 10^1005

2 x 10^1005  =k x 10^1004                    

k =[2 x10^1005] / [10^1004] = 2 x 10

k =20                                                    

A positive integer is defined as a whole number greater than zero. All counting numbers are included in the set of positive integers.

Positive numbers include: 1, 2, 88, 800, 9000, and so on. Positive numbers are whole numbers with the symbol (+) in front of the numerical value. Most of the time, the plus sign is simply represented without the symbol. Positive numbers outnumber negative numbers and zero. On the number line, positive numbers are represented to the right of zero

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Answer:

Step-by-step explanation:

Given that:

To Find:

Let us assume:

Finding the number of T-shirts bought:

According to the question.

Rate × Pieces of T-shirts = Rate × Pieces of T-shirts

⟶ 210 × 16 = 280 × x

⟶ 3360 = 280x

⟶ x = 3360/28

⟶ x = 12

Hence,

x= 5/3

go on chrome it'll show you

Answer: The order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) should be followed to get the correct result.

-3(2) = -6

2^2 = 4

3(-2) = -6

-6 + 4 + (-6) = -8

Therefore, "-3(2)+2^2+3(-2) = -8"

Step-by-step explanation:

Quick Answer:

The order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), should be followed to obtain the correct result.

The answer is -8

Explanation:

PEDMAS stands for :

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

So,

-3(2) = -6

2^2 = 4

3(-2) = -6

-6 + 4 + (-6) = -8

As a result, the correct response is, -8

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The scale factor was applied to the first diamond is 2.5

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

The diamonds

The scale factor is calclated as

scale factor = Diamond 2/Diamond 1

Substitute the known values in the above equation, so, we have the following representation

scale factor = 1.5/0.6

Evaluate

scale factor = 2.5

Hnce, the scale factor is 2.5

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Answer:

180

Step-by-step explanation:

60+12×10

60+120

180