A pole 5 feet tall is used to support guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Zoe 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

Answer:

if you can't read my pic the answer is: p+r-s=q

Step-by-step explanation:

The equation of the line is given as y = 1

In the given question, we are to find the equation of the line that is parallel to the given equation. For y = 4, the slope of the equation is equal to 0 or does not exist.

Using point-slope formula y - y₁ = m(x- x₁)

The points passing through the line is (-3, 1)

We can substitute the values into the equation;

y - 1 = 0(x - (-3)

y = 0 + 1

y = 1

The equation of the line passing parallel to the equation is y = 1

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Answer:

y=(5/2)x-4

Step-by-step explanation:

1) You would have to find the slope by using the slope equations

(x1-x2)/(y1-y2)

(6-1)/(4-2)

Slope =5/2

2) the next is to find the y-axis

the line land on the x=0 at -4

y-axis=-4

3) plug into slope intercept form

y=mx+b

m=slope

b=y-axis

y=(5/2)x+(-4)

y=(5/2)x-4

Answer:

[tex]y=\frac{5}{2}x-4[/tex]

Step-by-step explanation:

1. we pick 2 points from a graph...one is (0,-4) and the other is (1,2)

2. we find the gradient between the two points using this equation m=[tex]\frac{y2-y1}{x2-x1}[/tex]

3. we plug the value in the equation

4. m = 5/2

5. equation of a straight line is y = mx +c

-where c is the intercept of the graph and m is the gradient

-4=5/2(0)+c

c =-4

therefore [tex]y=\frac{5}{2}x -4[/tex]

Answer:

Step-by-step explanation:

is it

-f(x)=9x+5 or positive?

9(8)+5=72+5

f(8)=77

9(-10)+5=-90+5

f(-10)=-85

9(0)+5=5

f(0)=5

think of f(x) is y instead and whatever is in the parenthesis just plug into the equation for x

[tex]23 + 2 < y \\ y > 25[/tex]

ATTACHED IS THE SOLUTION Mind you I swap the positions of the term so that y can be on the left hand side.

Goodluck!!

Answer:

25 < y

Step-by-step explanation:

23 + 2 < y

25 < y

that's as much as it goes

A function is a reletion with one output for each input. Then, in a ordered pair inputs and outputs represent a relationship between two values.

Some relationships make sence (one output for each input) and others dont't.

Functions are relationsips that make sence.

Answer: Extrapolation ,from the above can be defined as using a linear regression equation and any x- value to predict any y-value.

Step-by-step explanation:

Extrapolation regression makes use of estimated regression equation to predict a new value y for specific X values not in the range of the sampled data used to estimate our regression equation

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Answer:  70

Step-by-step explanation:

easy addition

Answer: 2500

Step-by-step explanation: 5x10 = 50. 50x50 = 2500

Answer:

2500

Step-by-step explanation:

The total number of files after 16 days using the function P(t) = 3t² + 5t + 8 is 856.

A relationship between a group of inputs having different outputs 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.

The function P(t) represents the population of a collection of fruit flies at a particular time in days.

P(t) is the number of flies and t is the time in days.

Now, consider the function:

P(t) = 3t² + 5t + 8

Therefore, the number of flies after 16 days will be:

When t = 16,

P(t) = 3t² + 5t + 8

P(16) = 3(16)² + 5(16) + 8

P(16) = 3 × 16 × 16 + 5 × 16 + 8

P(16) = 768 + 80 + 8

P(16) = 856

Hence, the number of flies after 16 days will be 856 flies using the function P(t).

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Answer:

Step-by-step explanation:

I believe the answer is D!

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.

The idea of an expression number makes use of the method of allocating single-digit numbers (1 to 9) to the letters of the English alphabet, starting with A. The main mathematical advancements utilizing these number patterns are highlighted in the next section.

An expression is, for instance, 3x - 2. While an equation, on the other hand, denotes the connection between two separate expressions via an equal to sign.

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The third option is the correct method that solves for the variable r in the equation

Given the equation: 3/8r+ 2 = 14

Subtract 2 from both sides:

3/8r = 12

Multiply both sides by 8:

3r = 12 x 8

3r = 96

Divide both sides by 3:

r = 96/3 = 32

Therefore, the method that solve the variable r in the equation correctly is the third option.

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Answer: [tex]x^4 - 12x^3 - 27x^2 +486x[/tex]

Step-by-step explanation:

[tex](f \cdot g)(x)=f(x)g(x)\\\\=(x^2 -3x-54)(x-9)\\\\=x^3 - 9x^2 - 3x^2 + 27x - 54x + 486\\\\=x^3 -12x^2 -27x+486\\\\\therefore x(f \cdot g)(x)=x(x^3 -12x^2 -27x+486)\\\\=x^4 - 12x^3 - 27x^2 +486x[/tex]

Answer:

Angle 1: 159

Angle 2: 21

Angle 4: 21

Step-by-step explanation:

SOLUTION

Given the question in the question tab, the following are the solution step to get the number of books they have altogether.

Step 1: Write the notations for Joseph's and Mike's books

Step 2: Write the statements in a mathematical form

Step 3: Solve to get the value of j by using substitution method

Therefore, Joseph had 84 books initially.

Step 4: Get the number of books they had altogether by summing the number of books for the each of them initially

Hence, they both had 112 books altogether.

The value of the expression ab²  is  12x where a = -3x and b = -2i

From the question, the values of the variables are given as

a = -3x and b = -2i

The expression to calculate is then calculated as

ab²

Substitute the known values in the above equation

So, we have the following equation

ab²  = (-3x) * (-2i)²

Evaluate the exponent

So, we have the following equation

ab²  = (-3x) * -4

Evaluate the product

So, we have the following equation

ab²  = 12x

Hence, the solution to the expression is  12x

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Answer: -2 1/2 or -2.5

Step-by-step explanation:

Yes, it can be simplified.

-5/2 can be simplified to -2 1/2 which can be as a decimal as -2.5

Answer: For 1 it is A - f(x)=(x-2)(x+4) and for 2 it is C - y = 0.5x^2 + 1.5x − 5

Step-by-step explanation:

Just use Desmos

Answer:

16.  36.67

17.  40

Step-by-step explanation:

See attached worksheet

Answer:

y = w/(h - 5c^3)

Step-by-step explanation:

w = yh - 5yc^3

factorise out y:

w = y(h - 5c^3)

rearrange:

y = w/(h - 5c^3)

I think this is correct.

Answer:

60

Step-by-step explanation:

10 x 6 < w

60 < w

that answers it

Answer: Multiply to remove the fraction, then set equal to

0

and solve.

Inequality Form:

w

>

60

Interval Notation:

(

60

,

∞

)

The increase in the selling price is 1.818.

Test statistic:

A test statistic is a statistic used in statistical hypothesis testing. A hypothesis test is typically specified in terms of a test statistic, considered as a numerical summary of a data-set that reduces the data to one value that can be used to perform the hypothesis test.

The given values are:

a = 0.1

x = 94

μ = 90

The formula for test statistic will be:

t = ((x- μ) / ([tex]\frac{s}{vn}[/tex])

Now put the values in the given equation we have:

t = (94-90) / ([tex]\frac{22}{10}[/tex])

 = 4/2.2

  = 1.818

Therefore the increase in the selling price is 1.818.

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x+119°=180°(Co-interior angles are supplementary m || n)

[tex]x = 180 - 119 \\ x = 61[/tex]

y=119°(alternate angles are equal m ||n)

GOODLUCK.

The mean age of customers is 27.35 years.

It is well known that age has a normal distribution with a 5-year standard deviation. Additionally, 30% of the time, customers are under the age of 30.

Mathematically,

P (age ≤ 30) = 0.70

Let μ be the mean age of the customer.

P [z ≤ (30 - μ) / σ] = 0.70

The equivalent of "age" in a conventional normal distribution is the z-score or z. It is evident from the usual normal distribution table that when z=0.53, 0.70 probability is reached.

Thus,

z = (30 - μ) / σ

⇒ 0.53 = (30 - μ) / 5

⇒ μ = 27.35

As a result, the average consumer is 27.35 years old.

The probability at each z-score in a standard normal table is represented by the associated z-score. We will look for the number 0.70 in the table, then the row value of 0.5 and the associated column value of 0.03 will be examined. They add up to 0.53 when combined.

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Step-by-step explanation:

you don't a type your question. so if it correct i will be happy to help you

Answer:

1.25 hours.

68.75 miles from the city

Step-by-step explanation:

Eltan's train (E) is travelling 65mph west.

Dmitri's train (D) is travelling 55mph west.

In terms of vectors, we can write E as 65E and D as 55W

The miles travelled by each is a function of time, T, in hours.

Each train's distance is:

 E:  T*65E

 D:  T*55W

They are 150 miles apart.  They will meet with the combined miles travelled is 150 miles.

 150 miles = T*65E + T*55W

150 miles = T(120 miles/hour)

T = (150 miles/120 miles/hour)

T = 1.25 hours

Make Demitri's train mile 0 and Eitan's train at mile 150 at the start.

They will have travelled the following miles in 1.25 hours:

Demitri:  (1.25hr)(55 m/hr) = 68.75 miles

Eitan:      (1.25hr)(65 m/hr) = 81.25 miles

Total = 150 miles

Dimitri is headed away from the city.  After 1.25 hours, his train will have travelled 68.75 miles when he sees Eitan passing him on the adjacent track (hopefull) headed into the city.  They meet 68.75 miles from the city.

Answer:

question one is B and question 2 is C

Step-by-step explanation:

Check below, please

1) The way to tackle this problem, is by dividing those numerators by the denominators so we can get the decimal form of each fraction, and count the marks to plot them.

2) Let's divide them:

So now, we can plot them:

Thus, this the answer.