An engineer looks up at the top of a cell tower. The engineer stands 30 meters from the center of the tower with a line of sight of 37° from the horizontal. The engineer's eyes are 2
meters above the ground.

Answer:

42 - 24 * 36

18*36

and rewrite your answer by yourself

The value of the expression 42−6×4(12)³ is,  -41430

PEMDAS is an acronym that stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). It is a mathematical order of operations that helps to simplify expressions and solve mathematical problems in a consistent manner. The PEMDAS rules dictate the order in which operations should be performed in an expression to ensure that the correct answer is obtained.

Given that,

The expression,

⇒ 42−6×4(12)³

⇒ 42 - 24(12)³

Now, we will open a bracket

And for that will write value of (12)³

⇒ 42 - (24×12×12×12)

⇒ 42 - 41472

⇒ - 41430

Hence, the result  is  - 41430

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Answer:

C

Step-by-step explanation:

6÷¾=8

Hope this helps!

Answer:

8 times

Step-by-step explanation:

3/4 litres/time×times=6 litres

3/4×t=6

24=3t

t=8

i hope this helps

Answer: 1. 45%

              2. 32%

              3. 67%

Answer:

please give brainliest this was hard to type

x h(1/4x) (g)

-2 h(1/4•-2)=h(0) 3.75

0 h(1/4•0)=h(+1) 4

2 h(1/4•2)=h(+2) 4.25

4 h(1/4•4)=h(+3) 4.50

6 h(1/4•6)=h(+4) 4.75

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Answer:

This is a classic example of the mark and recapture method to estimate population size. The estimated population size can be calculated using the formula:

N = (M * n) / m

where N is the estimated population size, M is the number of individuals marked and released in the first sample (200 in this case), n is the total number of individuals captured in the second sample (450 in this case), and m is the number of marked individuals recaptured in the second sample (25 in this case).

Plugging these values into the formula gives us an estimated population size of:

N = (200 * 450) / 25 = 3600

So, based on this method, the estimated fish population in the pond is 3600.

Step-by-step explanation:

The estimated fish population of the pond is 3600, obtained through the mark and recapture method - a common technique in ecology for estimating an animal population.

In this problem, we will use a method called the mark and recapture method, which is a common technique in ecology for estimating an animal population. The idea is that the proportion of marked individuals in the population is equivalent to the proportion of marked individuals in a subsequent smaller sample.

To apply this method to the given problem, we use the formula: (First capture * Second capture) / Number of marked recaptures. So, to estimate the fish population, we substitute the given numbers into the formula: (200 * 450) / 25 = 3600. Therefore, the estimated total fish population in the pond is 3600.

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A factorial anova includes only three or more independent variable(s). A factorial ANOVA involves analyzing the effects of two or more independent variables on a dependent variable. Therefore, it requires at least three independent variables to be included in the analysis. The correct answer is d.

Factorial ANOVA is a statistical analysis method used to examine the effects of multiple independent variables on a dependent variable. It involves examining the main effects of each independent variable, as well as the interactions between them.

A factorial ANOVA is typically used when researchers are interested in examining the combined effects of multiple variables on a single outcome. The method can be used in a wide range of fields, from psychology to biology to engineering, and is particularly useful in experimental research designs.

Overall, factorial ANOVA is a powerful tool for analysing complex data and uncovering the underlying relationships between variables. So, the correct answer is D).

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The two-way frequency table is given as:

                                        Band            Not in Band       Total

Play instrument                    20                     5                   25

Do not play instrument        0                       15                 15

Total                                     20                      20                40

Two-way frequency tables show the potential connections between two sets of category data visually. The table's four (or more) inside cells contain the frequency (count) data, which is shown above and to the left of the table's designated categories. Grouped frequency distribution and Ungrouped frequency distribution are the two different forms of frequency tables. A two-way or contingency table is the name for this kind of table. A statistical table called a two-way or contingency table displays the observed quantity or frequency for two variables, with the rows denoting one category and the columns denoting the other. In this case, the gender (male or female) row category.

Here,

We are given a survey of 40 students regarding whether they play an instrument or not.

We are given an information as

1. 25 students play an instrument.

2. 20 students are in band.

3. 20 students are not in band

Hence, the table can be formed as:

                                         Band            Not in Band       Total

Play instrument                    20                     5                   25

Do not play instrument        0                       15                 15

Total                                     20                      20                40

( Since, those who don't play any instruments can't even play band hence the value of that in table is 0)

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The box's velocity can be calculated by dividing the distance it traveled by the time it took. In this case, the box moved 3 meters in 0.1 minutes, resulting in a velocity of 30 meters per minute.

Velocity is a measure of an object's displacement over time. To find the velocity of the box, we divide the distance it traveled (3 meters) by the time it took (0.1 minutes). Dividing these values gives us 30 meters per minute as the box's velocity.

It's important to note that the factory worker's speed of 58 meters per minute is not relevant to the calculation of the box's velocity. The worker's movement is independent of the box's motion on the conveyor belt. The box's velocity represents its own rate of displacement and does not consider any external factors. Therefore, the box's velocity is determined solely by the distance it traveled and the time it took.

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Answer:

5a² + 4ab = a(5a+4b)

6p - pq - 5pr = p(6-q-5r)

8st +9su + 7sv = s(8t+9u+7v)

8pq² +9qr+ 7pqr = q(8p²+7pr+9r)

2a²b + ab² - 6ab = ab(2a+b-6)

6t²u +8tu²y + 5tuw = tu(6t+8uy+5w)

18abc²-42a²bc + 18ab²c = 6abc(3c-7a+3b)

24pqrs +56q²rs - 40qrs = 8qrs(3p+7q-5)

Answer:

replace rhombus with square, or rectangle

Step-by-step explanation:

The given statement "Qualitative data contribute to analysis and should aid the explanation of a process that may otherwise be unclear if explained by quantitative data only." is true.

Qualitative data is non-numeric information that provides insight into attitudes, behaviors, motivations, and perceptions. It is typically collected through open-ended questions, observation, and interviews. Qualitative data can provide a rich and nuanced understanding of a process or phenomenon that may not be possible to obtain through quantitative data alone. This is because qualitative data can help to uncover the underlying reasons behind a process, how people experience it, and how it is perceived by different groups. As a result, qualitative data can provide valuable context and insight into a process that may otherwise be unclear if explained by quantitative data alone.

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Answer:

A) Vertex: (3,1) Maximum, Domain: all real numbers, Range: y is less than or equal to 1.

B) Vertex: (1,-5) Minimum, Domain: all real numbers, Range: y is greater than or equal to -5

C) Vertex: (0,1) Minimum, Domain: all real numbers, Range: y is greater than or equal to 1

D) Vertex: (4,0) Maximum, Domain: all real numbers, Range: y is less than or equal to 0.

E) Vertex: (4,1) Minimum, Domain: all real numbers, Range: y is greater than or equal to 1

F) Vertex: (-1,4) Maximum, Domain: all real numbers, Range: y is less than or equal to 4.

G) Vertex: (2,-4) Minimum, Domain: all real numbers, Range: y is greater than or equal to -4

H) Vertex: (-4,-3) Minimum, Domain: all real numbers, Range: y is greater than or equal to -3

I) Vertex: (2,3) Maximum, Domain: all real numbers, Range: y is less than or equal to 3.

Step-by-step explanation:

Sorry it took forever to type

18.1

Answer:

18.1 miles

Step-by-step explanation:

TOTAL distance= sum of individual distance

\(3 \times \frac{1}{2} + 5 \times \frac{3}{5} + 2 \times \frac{1}{3} + 6 \times \frac{2}{3} \)

\( = 18.1miles\)

Answer:

18 1/10

Step-by-step explanation:

Add the total distances

Get a common denominator of 30

3 15/30 + 5 18/30  + 2 10/30 + 6 20/30

16 63/30

16 + 60/30 +3/30

18+3/30

18 1/10

The answer is : C = (F - 32) * 5/9.

To convert degrees Fahrenheit (F) to degrees Celsius (C), you can use the following formula:

C = (F - 32) * (5/9)

This formula is a commonly used conversion equation in which you subtract 32 from the temperature in Fahrenheit and then multiply the result by 5/9 to obtain the equivalent temperature in Celsius.

Let's break down the formula to understand how it works. Starting with the Fahrenheit temperature (F), subtracting 32 adjusts the temperature relative to the freezing point of water in Fahrenheit (32°F). This step ensures that 0°F in Celsius is equivalent to -17.78°C, which is the freezing point of water in Celsius.

After subtracting 32, we multiply the result by 5/9. This step converts the adjusted Fahrenheit temperature into the equivalent Celsius temperature. The multiplication by 5/9 accounts for the ratio of the size of a degree Fahrenheit to the size of a degree Celsius.

By using this formula, you can convert any temperature from Fahrenheit to Celsius. For example, if the mean daily high temperature in Seattle in May is represented by f, you can substitute that value into the formula to calculate the mean temperature in Celsius.

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Answer:

45 yo

Step-by-step explanation:

Let's start by defining some variables to represent the ages of Ted and Rosie:

- Let's call Ted's current age "T"

- Let's call Rosie's current age "R"

From the problem statement, we know that:

- Ted is five times as old as Rosie was when Ted was Rosie's age. Written as an equation, this becomes:

T = 5(R - (T - R))

Simplifying this equation, we get:

T = 5(R - T + R)

T = 10R - 5T

- When Rosie reaches Ted's current age, the sum of their ages will be 72. Written as an equation, this becomes:

R + T = 72 - T

We now have two equations with two variables. We can use substitution to solve for T.

Substitute the second equation into the first equation to eliminate R:

T = 10R - 5T

T = 10(72 - T) - 5T

T = 720 - 15T

16T = 720

T = 45

Therefore, Ted's current age is 45.

To determine which terms in the expression 3a - 4 + 6ab - 2a can be combined with -4a, we need to first simplify the expression by combining like terms:

3a - 4 + 6ab - 2a = (3a - 2a) + 6ab - 4 = a + 6ab - 4

Now we can see that the only term that can be combined with -4a is the "a" term, since it has the same variable and same exponent as -4a. Therefore, the answer is that only one term in the expression can be combined with -4a.

Answer: A 6.4

Step-by-step explanation:

Use pythagorean to find sides

c=hypotenuse = x

a= shortleg = 4

b=longleg =5

c²=a²+b²                  > substitute

x²=4²+5²                 >simplify

x²=16+25

x²=41                        >take square root of both sides

x=√41                      >plug in calculator

x=6.4          => A

The line plot that represents the height of the flowers in the garden is the line plot named a.

A line plot is a diagram that is used to represent data. The line plot is made up of dots that are used to represents the frequency with which the number appears.

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Using a trigonometric relation we can see that x = 51°

Here we have a right triangle, and we know the length of the two legs of it.

To find the value of x, we need to use the trigonometric relation:

tan(x) = (opposite cathetus)/(adjacent cathetus)

Here we have:

opposite cathetus = 28

adjacent cathetus = 23

Then:

tan(x) = 28/23

x = Atan(28/23)

x = 50.59° = 51°

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Given that three charges (-25 nC, 79.1nC, and −55.9nC) are placed at three of the four corners of a square with sides of length 22.2 cm. We need to determine the value of the electric potential (in V) at the empty comer if the positive charge is placed in the opposite corner.

The formula for the electric potential at a point in space is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) + ….. ]where;k = Coulomb's constant (8.99 × 10^9 Nm²/C²)q1, q2, q3,…. are the charges at the cornersr1, r2, r3,…. are the distances from the corner to the point whose potential is being calculated Now we can calculate the electric potential at the empty corner as follows;The three charges can be represented as shown below:Charges at corners of a square

The distance from any corner to the opposite corner (where the positive charge is placed) is given by d = √[ (22.2 cm)² + (22.2 cm)² ] = 31.4 cmTherefore, the electric potential at the empty corner is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) ]Here, q1 = -25 nC, q2 = -55.9 nC, q3 = 79.1 nC, r1 = r2 = r3 = d = 31.4 cm = 0.314 mPlugging in the values we get;V = 8.99 × 10^9 [ (-25 × 10^-9 / 0.314) + (-55.9 × 10^-9 / 0.314) + (79.1 × 10^-9 / 0.314) ]= 8.99 × 10^9 [ -0.0795 - 0.1783 + 0.252 ]= 8.99 × 10^9 × 0.0052= 46.8 VTherefore, the value of the electric potential at the empty comer if the positive charge is placed in the opposite comer is 46.8 V.

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The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.

From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.

So, Minimum Value = 1.0

Maximum Value = 11.2

Range = Maximum Value - Minimum Value

                  = 11.2 - 1.0

                     = 10.2

Therefore, the range of the given data is 10.2.

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Answer:

Step-by-step explanation:

a)

b)

A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.

When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.

Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.

In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.

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The probability of getting at least one question right is 96.875%.

The question states that at least one guess should be right. This ultimately means that all guesses cannot be wrong, which is the only possibility being excluded here.

Probability for wrong guess =12=0.5

Probability for all wrong guesses =0.5*0.5*0.5*0.5*0.5=0.03125 or 3.125%

There is only 3.125% chance of all wrong guesses. Rest of the possibilities are our favorable conditions, i.e. at least one correct guess.

Therefore,

Probability of at least one correct guess=1-0.03125=0.96875 or 96.875%

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Using it's formula, the distance between the points A(13,2) and B(7,10) is of 10 units.

Suppose that we have two points, \((x_1,y_1)\) and \((x_2,y_2)\). The distance between them is given by:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

In this problem, the points are A(13,2) and B(7,10), hence the distance is given by:

\(D = \sqrt{(13 - 7)^2+(2 - 10)^2}\)

D = sqrt(100)

D = 10 units.

The distance between the points A(13,2) and B(7,10) is of 10 units.

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Answer:

(103) ^3 =(100+3) ^3

=(100) ^3 +3 ^3 +3×100×3(100+3)

=1000000+27+90000+2700

=1092727

Step-by-step explanation:

Hope it is helpful....

Answer:

It would be equal to 1092727

Step-by-step explanation:

You would expand and get 103 times 103 times 103.

I didn't know what identity ur talking about