PLS HELP I WILL GIVE YOU 100 POINTS… Question 4 (True/False Worth 4 points)
(07.07)
True or False?
When temperature rises, the number of people who go to the beach increases. Temperature is the independent variable in this situation.
True
False

Answers

Answer 1

Answer:

True

Number of people is dependent

Answer 2

Answer:

true because it's hots and people cool of by getting by getting the water


Related Questions

evaluate the iterated integral. 1 0 s4 cos(s5) dt ds 0

Answers

The final solution is -sin(1).

To evaluate the iterated integral, we need to integrate with respect to the outer variable first, then integrate with respect to the inner variable.

The given iterated integral is:

[tex]∫(1 to 0) ∫(s^4 to 0) cos(s^5) dt ds[/tex]

To evaluate this, we need to integrate with respect to t first, and then integrate with respect to s.

[tex]∫(1 to 0) ∫(s^4 to 0) cos(s^5) dt ds = ∫(1 to 0) [∫(s^4 to 0) cos(s^5) dt] ds= ∫(1 to 0) (-1/s^5 * sin(s^5)) \\ds= [-1/s^5 * sin(s^5)] \\evaluated at s = 1,0= (-1/1^5 * sin(1^5)) - (-1/0^5 * sin(0^5))= (-1/1 * sin(1)) - (0)= -sin(1)[/tex]

So the final solution is -sin(1)

Note that the integral is not defined for s=0, [tex]s^5=0[/tex] , as the function is not defined there.

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Let ​f(x)=x2+10x+29​. What is the minimum value of the function?

Answers

Answer:

54

Step-by-step explanation:

[tex]f(x)=x^2+10x+29 \\ \\ f(x)=(x^2+10x+25)+29+25 \\ \\ f(x)=(x+5)^2+54 \\ \\ \therefore (x+5)^2 \geq 0 \implies (x+5)^2+54=f(x) \geq 54[/tex]

Practice PROBLEMS
below
2+
721
2. What is the value of the expression below
when f = 2.5?
A 132
B 18
C 42
D 28
8 + 4f

Answers

Answer:

B. 18

Step-by-step explanation:

Given that f = 2.5,

8 + 4f

=8 + 4(2.5)

8 + 10 = 18

(FAST 50 POINTS)
Find the perimeter of this rectangle

Answers

Answer: 22[tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]5\sqrt{5)[/tex] X 2 =10[tex]\sqrt{5}[/tex]

3[tex]\sqrt{20\\[/tex] X 2= 12[tex]\sqrt{5}[/tex]

10[tex]\sqrt{5}[/tex] + 12[tex]\sqrt{5}[/tex] = 22[tex]\sqrt{5\\[/tex]

10. Gianna is taking a walking tour in her city. The entire tour is
10 kilometers long. According to an app on her phone, Gianna's
average walking rate is 1.6 meters per second.
10
A. What is Gianna's average walking rate in kilometers per hour?
22,725
B. About how long will it take Gianna to complete the walking tour?
Express your answer in hours and minutes.
C. MP Construct Arguments Explain how you know your answer is
reasonable.

Answers

Therefore  , solution of ratio problem is 5760 m & 5.76 km, respectively, are the distances covered per hour for the two halves.

What are the application proportion and ratio?

As a/b, a ratio shows the  variable relationship between two numbers. When two ratios are equal, as when a/b = c/d, we get a proportion. Mathematical issues involving the unit numbers of the quantities can be resolved using ratio and proportion.

Here,

The ratio approach can be used to solve the above problem as follows:

(A) A 1.6 m/s walking speed is typical.

The calculation for the speed in meters per hour is

1/3600 of an hour is equal to one second.

Take the following 1.6:3600 ratio as an example:

1.6 ÷ 1/3600

= 3600 × 1.6

= 5760

The typical walking speed is 1.6 m/s.

It implies a speed of 1.6 meters per second.

Now, 1 m equals 1/1000 km.

=> 1.6 m = 1.6/1000 km

Moreover, one second is equal to three thousand six hundredths of an hour.

As a result, the distance traveled in kilometers per hour can be calculated by using the following ratio:

1.6/1000 ÷ 1/3600

= (3600 × 1.6)/1000

= 5.76

Therefore, 5760 m and 5.76 km, respectively, are the distances covered per hour in meters and kilometers.

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Use point-slope form to write the equation of a line that passes through the point (-8,8) with slope 3

Answers

Answer:

Step-by-step explanation:

j7yu8iol9ololololol

What’s the domain of x-3+5

Answers

The domain of the function x - 3 + 5 is  x ∈ R(real number)

What is a function ?

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.

The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A->B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.

The function is

f(x) = x - 3 + 5 = x + 2

for all value of x ∈ real number the function is define

So , the domain of the function x - 3 + 5 is  x ∈ R(real number)

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Which students ran faster than Amy?

Answers

Amy runs the fastest from all the students
Amy runs the fastest then the students

f(x) = 3x² +5
g(x) = 4x - 2
h(x) = x²-3x+1
Find f(x) + g(x) — h(x)

Answers

Answer:

2x² + 7x + 2

Step-by-step explanation:

f(x) = 3x² + 5

g(x) = 4x - 2

h(x) = x² - 3x + 1

f(x) + g(x) — h(x) =

(3x² + 5) + (4x - 2) - (x² - 3x + 1) = ==> plugin the values of f(x), g(x), and h(x)

3x² + 5 + 4x - 2 - (x² - 3x + 1) =

3x² + 5 + 4x - 2 - x² + 3x - 1 =  ==> distribute the negative sign to x², -3x, 1

                                                     x² ==> -x², -3x ==> 3x, 1 ==> -1

3x² - x² + 4x + 3x + 5 - 2 - 1 =  ==> combine like terms

2x² + 7x + 2 = ==> simplify

The scale of a drawing is 1/4 in = 12ft. Find the actual measurement of 8in

Answers

While calculating the measurements given.The correct answer is 384 ft.

Explanation

Given,

Inches when drawing =1/4

Actual feet according to the drawing =12 ft

To calculate the The mesurement of 8 inch

8 ÷ 1/4 = 8/1 x 4/1 = 32

32 x 12 = 384

How to Calculate Inches to Feet and Inches

Sometimes we find the value in feet and inches rather than converting the amount to decimals. For instance, 71 inches is equivalent to 5 feet, 11 inches. It's because we get 5 as the quotient and 11 as the remainder when we divide 71 by 12. The residual value will be expressed as the number of inches it is. This is known as converting inches to feet and feet to inches. Let's examine a few of the instances below.

67 inches to feet = (67 ÷ 12) ft = 5 feet and 7 inches80 inches in feet = (80 ÷ 12) ft = 6 feet and 8 inches54 inches in feet = (54 ÷ 12) ft = 4 feet and 6 inches

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In a network of 30 computers, 4 have a copy of a particularly critical file to sustain an organization's regular operations. Suppose that 9 computers at random fail. What is the probability that all 4 computers with the critical file fail in this incident? (Round to four decimal places.)

Answers

The probability that all 4 computers with the critical file fail in this incident is given as follows:

0.0046 = 0.46%.

What is the hypergeometric distribution formula?

The mass probability formula is presented as follows:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

The values of these parameters for this problem are given as follows:

N = 30, k = 4, n = 9.

The probability that all fail is P(X = 4), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,30,9,4) = \frac{C_{4,4}C_{26,5}}{C_{30,9}} = 0.0046[/tex]

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big lake bob spends his time carving fishing lures and duck decoys. if big lake bob spends all of his time carving fishing lures he can carve 100 lures in a week. if he spends all of his time carving duck decoys he can carve 30 decoys in a week. for every 6 duck decoys big lake bob carves he must give up 20 fishing lures.

Answers

Yes, for every 6 duck decoys big lake bob carves he must give up 20 fishing lures.

Production possibility schedule:-

Fish lures:

Fish lures in one week = 100

lures in a day = 20

So, 100-20 = 80

80 - 20 = 60

60 - 20 = 40

40 - 20 = 20

20 - 20 = 0

Duck decoys:

Duck in one day = 0

So, 0 + 6 = 6

6 + 6 = 12

12 + 6 = 18

18 + 6 = 24

24 + 6 = 30

number of duck decoy in a week = 30

Hence, For every 6 duck decoys Bob carves 20 lures.

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Find an equation of a line that is perpendicular to the line x=4 that contains the point (4,−5). Write the equation in slope–intercept form.

Answers

The equation of the perpendicular line is y = -5

What is the equation of the line?

We have to recall that the general form of the equation of a line can be given by the expression that is written as y = mx + c. m is the slope of the graph while c is the intercept of the graph.

We would then have;

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

We can see that m = 0 from the first line that has been given the we have;

y - (-5) = 0(x - 4)

y + 5 = 0

y = -5

This is the equation that has been required in the problem above.

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If the speed of light is 300,000 km/s, how many kilometers (km) are in a light-year (ly)? Show all your work.

Answers

300,000 km/s × Distance traval by light in one year

300,000 × 365days

300,000 × 365 × 24

300,000 × 365× 24 × 60

300,000 × 365× 24 × 60 × 60

9.46 × 10¹²

complete the statement. Round to the nearest hundredth. 12ft/sec=yd/min

Answers

The completed statement would be

12ft/sec = 7.2 yd/min.

What is the unit conversion?

Unit conversion is the process of changing a measurement from one unit to another, while maintaining the same numerical value. It is used to convert measurements from one system of units to another, such as from metric units to imperial units, or from feet to meters.

To convert feet per second to yards per minute, we need to multiply the value in feet per second by the conversion factor of 1 yard/3 feet and then divide the result by the conversion factor of 1 minute/60 seconds.

12 ft/sec = (12 ft/sec) * (1 yard/3 feet) * (1 min/60 sec) = (12*1/3) * (1/60) = 4/5 = 0.8.

So, 12 ft/sec is equal to 0.8 yards per minute. Rounded to the nearest hundredth, this is 7.2 yards per minute

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the graph represents y as a function of x. which additional point can be plotted so that this graph continues to represent a function? please answer and explain why you chose the answer. i will mark you brainliest.

Answers

A point-to-point graph, also called a line graph

Which graphs are used to depict a function?

To establish if a graph reflects a function, use the vertical line test. If a vertical line is dragged across the graph and only touches the graph at one location at any time, the graph is a function. If the vertical line intersects the graph more than once, the graph is not a function.

A line graph, also known as a point-to-point graph, is a visual representation of data in which precise values of a function are represented as dots on a coordinate plane. Straight lines link adjacent pairs of dots.

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21. Write in standard a + bi form: (2 + 5i)(−1 + 5i)
A. 23+5i
B.
C.
D. -2+5i
-27+5i
-2 +25i
HELP PLEASE!!

Answers

Therefore , the solution to the given problem of expression comes out to be  -27 + 5i.

Meaning of expression

Multiplication, division, addition, and subtraction are all possible in math. The expression structure is as follows: Expression, calculator, and a number or variable Numbers, variables, and procedures (such as subtraction, multiplication, addition, or division, etc.) are all parts of a mathematical expression. You can compare two expressions or sentences.

Here,

Given : (2 + 5i)(−1 + 5i)

To find a + bi form

we get,

=>  (2 + 5i)(−1 + 5i)

=> -2 + 10i -5i +25i²

=> -27 + 5i

Thus ,-27 + 5i forms same expression as the a+bi form so, it is the solution for this problem.

Therefore , the solution to the given problem of expression comes out to be  -27 + 5i.

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in example 35.1 values were rounded to the proper number of significant figures in each step it is sometimes suggested that one or two insignificant figures be carried along

Answers

It would depend on how accurate the calculation was in this scenario.

In general, it is preferable to round each step to the correct number of significant figures, but in some circumstances, carrying one or two insignificant figures can assist prevent round-off errors.

All zeros that are to the right of the decimal point but to the left of a non-zero number in a decimal number that ranges between 0 and 1 are not significant.

If there are zeros in a whole number to the right of a non-zero digit but to the left of a recognised decimal point, the situation becomes questionable.

All of the last zeros of a decimal number are significant when it is rounded off to a specific number of decimal places.

Complete Question:

It is sometimes suggested that one or two extra decimal places be carried along in each step when rounding values to the proper number of significant figures.

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It would depend on how accurate the calculation was in this scenario.

In general, rounding each step to the right number of significant numbers is ideal, but in rare cases, carrying one or two insignificant digits can help prevent round-off mistakes.

All zeros to the right of the decimal point but to the left of a non-zero integer in a decimal number between 0 and 1 are ignored.

The issue becomes dubious if there are zeros in a whole integer to the right of a non-zero digit but to the left of a recognised decimal point.

When a decimal value is rounded to a specified number of decimal places, all of the final zeros are important.

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A dance squad needs at least $800 to buy new dance outfits.

They have saved $350 already.
They are selling tickets to a dance performance for $8 each.
They need to sell x tickets to have enough money to buy the new dance outfits. Which inequality represents this situation?

A
8x+350≤800

B
8x+350≥800

C
8(x+350)≤800

D
8(x+350)≥800

Answers

Answer:

B) 8x + 350 ≥ 800

Step-by-step explanation:

A dance squad needs at least $800, this means the inequality sign will be greater than or equal to.

They already have $350, and each ticket is $8.

So,

8x + 350 ≥ 800

I NEED #2 DONE PLSS HELPPPP ASAP

Answers

As a set of inputs with one output for each, a function is defined as a relationship between them.

What is a definition for function?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.

When examining a graph, one method is to perform a "vertical line test" to see if a relationship is indeed a function. Anywhere on the graph where a vertical line can be created to cross the relation twice indicates that the relationship is not a function.

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To pay for a home improvement project that totals $16,000, Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years or paying with a credit card that compounds monthly at an annual rate of 15% for 7 years. Which plan would give Genesis the lowest monthly payment?

The monthly credit card payment would be $511.11, which is lower than the monthly payment on the bank loan.

The monthly payment on a bank loan would be $480, which is lower than the monthly credit card payment.

The monthly payment on a bank loan would be $551.11, which is lower than the monthly credit card payment.

The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.

Answers

This is $20,330.08 more than the total cost of the bank loan.

What is payment?

Payment is the transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment is an important part of any transaction, as it is the final step that completes the exchange of goods or services.

Therefore, the lowest monthly payment would be the credit card payment of $511.11. Paying with a credit card at 15% compounded monthly would be the least expensive option for Genesis. With this option,  would pay a total of $36,330.08 over the 7 years, including the interest. This is $20,330.08 more than the total cost of the bank loan.

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emmy and roscoe both run every day. Yesterday emmy ran 8 mile in 2 hours. Roscoe ran 6 ½ miles in 1 ½ hours. Who ran faster and why

Answers

Roscoe is faster.

What is speed?

Speed is a scalar quantity that refers to "how fast an object is moving."

Given that, Emmy and Roscoe both run every day. Yesterday Emmy ran 8 mile in 2 hours. Roscoe ran 6 ½ miles in 1 ½ hours.

Speed = distance / time

Emily's Speed = 8 / 2 = 4 mph

Roscoe's speed = 6 ½ / 1 ½ = 6.5 / 1.5 = 4.33 mph

Since, Roscoe's speed is greater than Emily's speed.

Hence, Roscoe is faster.

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The left and right page numbers of an open book are two consecutive interfere whos sum is 361. Find these page numbers.

What would the two page numbers be?

Answers

The left page number is 180 and the right page number is 181.

What is consecutive integers?

Consecutive integers or consecutive numbers are the terms used to describe the sequence of numbers. In this case, the integers are arranged in ascending order from smallest to highest. The following are a few examples: -4, -3, 2, 1, 0, 1, 2, 3, 4.

Given:

The left and right page numbers of an open book are two consecutive interfere whos sum is 361.

We have to find the page numbers.

Let

The left page number is n.

The right page number is n + 1.

As the sum of numbers is 361.

⇒ n + (n + 1) = 361

         2n + 1 = 361

              2n = 360

                n = 180

Hence, the left page number is 180 and the right page number is 181.

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Every day your heart creates enough energy to drive a truck for 32 kilometers. If you combined the energy created all the students in your math class for a week, how many meters could the truck drive?
(PLEASE HELP DUE TODAY)
(TYSM FOR THE TIME):)

Answers

The number of meters that the truck could go given the energy provided by the students combined, would be 800, 000 meters

How to find the distance the truck would go ?

To find the distance the truck would go, first find the number of meters the truck would go with the energy your heart provides :

= 32 x 1, 000 meters per kilometer

= 32, 000 meters

There are 25 people in the math class so the distance the truck would go is:

= Number of students x Distance per person

= 25 x 32, 000

= 800, 000 meters

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What are the coordinates of the point on the directed line segment from ( − 5 , 4 ) (−5,4) to ( 1 , 8 ) (1,8) that partitions the segment into a ratio of 3 to 1? pls help

Answers

To find the coordinates of the point that partitions the directed line segment from ( − 5 , 4 ) to ( 1 , 8 ) into a ratio of 3 to 1, we can use the following formula:

(x,y) = (1- t) * (x1, y1) + t * (x2, y2)

Where (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the directed line segment, t is a value between 0 and 1 that represents the ratio of the partition, and (x, y) are the coordinates of the point that partitions the segment.

In this case, we want the ratio of the partition to be 3 to 1, so t = 3 / (3 + 1) = 3/4

So we can substitute the values into the formula:

(x,y) = (1- 3/4) * (-5, 4) + (3/4) * (1, 8)

(x,y) = (-5/4, 4/4) + (3/4, 6/4)

(x,y) = (-5/4+3/4, 4/4+6/4)

(x,y) = (-2/4, 10/4)

(x,y) = (-0.5, 2.5)

So the point that partitions the directed line segment from ( − 5 , 4 ) to ( 1 , 8 ) into a ratio of 3 to 1 has coordinates (-0.5, 2.5)

calculate the iterated integral. 3 0 1 6xy x2 + y2 dy dx 0

Answers

The final value of the iterated integral is 945[tex]\sqrt{10}[/tex].

To calculate the iterated integral, we need to evaluate the inner integral with respect to y first and then the outer integral with respect to x.

The inner integral is to be integrated with respect to y is:

∫(6xy[tex]\sqrt{(x^2 + y^2)}[/tex])dy from 0 to 1 = [3y([tex]x^2 + y^2[/tex][tex])^{(3/2)}[/tex])] from 0 to 1

= [3y*[tex](x^2 + y^2[/tex][tex])^{(3/2)}[/tex]] from 0 to 1

= 3(1)*([tex]x^2[/tex] + 1[tex])^{(3/2)}[/tex]

= 3([tex]x^2[/tex] + 1[tex])^{(3/2)}[/tex]

Now, we can use this result as the inside function to evaluate the outer integral with respect to x.

The outer integral is to be integrated with respect to x is:

∫(3([tex]x^2[/tex] + 1[tex])^{(3/2)}[/tex])dx from 0 to 3

= [x([tex]x^2[/tex] + 1[tex])^{(5/2)}[/tex]] from 0 to 3

= [3[tex](3^2 + 1[/tex] [tex])^{(5/2)}[/tex] - 0(0^2 + 1[tex])^{(5/2)}[/tex]]

= [3(10 - 0]

= [945[tex]\sqrt{10}[/tex])]

So the final value of the iterated integral is 945[tex]\sqrt{10}[/tex].

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The complete question is -

Calculate the iterated integral. Integral from 0 to 3 integral from 0 to 1 of 6xy[tex]\sqrt{(x^2 + y^2)}[/tex] dy dx

Find the ratio
People 6: :18

Benches 3:12:

Answers

The ratio of people in its simplest form is 1 : 3

The ratio of benches in its simplest form is 1 : 4

What is the ratio in simplest form?

A ratio is the number representing a comparison between two named things.

It also refers to the relative magnitudes of two quantities usually expressed as a quotient.

For instance, if there are 12 students in a class which includes 8 girls and 4 boys,

The ratio of girls to all students = 8 : 12

= 8/12

= 2/3

= 2 : 3

The ratio of boys to girls = 4 : 8

= 4/8

= 1/2

= 1 : 2

The ratio of all students to boys = 12 : 4

= 12/4

= 3/1

= 3 : 1

Hence,

People = 6 : 18

= 6 / 18

= 3 / 9

= 1/3

= 1 : 3

Benches = 3 : 12

= 3 / 12

= 1 / 4

= 1 : 4

Therefore, the ratio of people and benches in its simplest form is 1 : 3 and 1 : 4 respectively.

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can someone help? This is due today!

Answers

Answer:

Question 2: No Solution

Question 4: (2,-3)

Step-by-step explanation:

Question 2: {x-y=7} {x-y=-4}

Question 4: {5x+2y=4} {9x+2y=12}

There is two ways of solving this;

Elimination method and Substitution method.

I will be using the Substitution method for Question 2 and Elimination method for Question 4.

Substitution method is basically substituting in the equation like this;

Question 2:

x - y = 7 and x - y = -4

x - y = 7 into x = 7 + y

Substitute:

7 + y - y = - 4

7 = - 4

7 ≠ - 4

Therefore, there no solution to this equations.

Question 2: No Solution

Question 4:

Elimination Method is basically eliminates one of the variables, so we can solve a more simplified equation.

5x + 2y = 4 and 9x + 2y =12

5x + 2y = 4

-(9x + 2y = 12) - Multiply this equation by -1.

Now we have;

5x + 2y = 4

-9x -2y = -12

-4x = -8

x = 2

We can substitute x  to find y.

5(2) + 2y = 4

10 + 2y = 4

2y = -6    

y = -3

(2,-3)

Question 4 Solution: (2,-3)

RevyBreeze

A pole 10 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Suav measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.​

Answers

The length of the guy wire is equal to 48 ft.

What are trigonometric functions?

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: Distance of stake to the pole=14 feet and Distance from the pole to the tower as =25 ft. And height of the pole=10 feet.

Now let the angle that the guy wire makes with the stake is θ

Then we have Tanθ= 10/14

                                 =5/7

Again we also have Tan θ= height of the tower /base of the tower

Thus h/39=5/7 ( where h is the height of the tower).

    or, h=27.85

 Therefore using pythagoraes theorem we get the length of the wire as

=[tex]\sqrt{27.85^2+39^2}[/tex]

=47.92 feet or 48 ft. (Approx)

Hence, The length of the guy wire is equal to 48 ft.

Learn more about trigonometric functions here:

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There are a total of 160 passenger seats on a commercial aircraft. Passengers can
book a seat in economy class or in first class. There are 9 times as many economy
seats as there are first class seats. Determine the number of first-class seats and the
number of economy seats on this aircraft.

Answers

Answer: 144 economy seats and 16 first class seats

Step-by-step explanation:

1 : 9 first class seats to economy seats

1 : 9 x 16 = 16 : 144

160x9=1440

Step-by-step explanation:

your welcome no explanation just get the answer

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