Evaluate the following algebraic expression:
64-9p when p = 7
O 14
O 63
O 36
01

The distance between the points (-5,4) and (1,0) is  7.21 .

In the question ,

it is given that ,

the two points are (-5,4) and (1,0) ,

we  have to find the distance between them .

we know that the distance between the points (x₁ , y₁) and (x₂ , y₂) is calculated using the distance formula

distance = √(y₂ - y₁)² + (x₂ - x₁)²

Substituting the values of the points , we get

distance = √(0 - 4)² + (1 -(-5))²

= √(-4)² + (1 + 5)²

= √16 + (6)²

= √16 + 36

= √52

= 7.21111

≈ 7.21

Therefore , The distance between the points (-5,4) and (1,0) is  7.21  .

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Answer:37 number

Step-by-step explanation:

Answer:

-40

Step-by-step explanation:

The y-intercept occurs when x is equal to 0. In order to find the y-coordinate, you would just plug in x with 0:

2(5x² − 2)(x − 5) (4x² − 2)

2(5[0]^2 - 2)(0 - 5)(4[0]^2 - 2)

2(-2)(-5)(-2)

-40

Answer:804,000,000,000 & 8.0e+11

Step-by-step explanation:

logic

Answer:  

The area of the room is 34*21 = 714 ft^2

the cost of the carpet is $5 per square foot, so the cost to carpet the whole room will be

5*714 = $3570

Step-by-step explanation:

3570 is the cost of the largest circular area rug that will fit in Susie’s dining room.

The area of Rectangle is length times of width.

Given that, Circular area rugs are priced at $5 per foot based on the circumference of the carpet used.

We need to find  the cost of the largest circular area rug that will fit in Susie’s dining room.

The area of the room is 34×21 = 714 ft²

The cost of the largest circular area rug that will fit in Susie’s dining room

$5 per foot based on the circumference of the carpet

Multiply 5 with 714

5×714

3570

Hence, 3570 is the cost of the largest circular area rug that will fit in Susie’s dining room.

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Answer:

  3.36 km

Step-by-step explanation:

You want the distance P east of a refinery so that the cost of laying pipe from the refinery 1 km north of a river and under a 3 km wide river to storage on the south bank is minimized. The cost of under-river pipe is double the cost of overland pipe.

Let p represent the distance east of the refinery where the river crossing starts. Then the distance in km from the refinery to the river crossing is ...

  d1 = √(1² +p²)

The storage facility is 5 km east of the refinery, so is (5-p) km east of the north-bank point where the river crossing starts. The length of the pipe under the 3 km-wide river is ...

  d2 = √(3² +(5-p)²) = √(p² -10p +34)

The cost is the sum of costs of laying pipe for each segment. The cost for each unit of distance is double for the under-river pipe, so the total cost can be described by ...

  c ∝ d1 + 2×d2

  c ∝ √(1² +p²) +2√(p² -10p +34)

The cost is minimize for the value of p that makes dc/dp = 0. The implicit derivative is ...

  c' = p/√(p² +1) +(2p -10)/√(p² -10p +34) = 0

Subtracting the second term and squaring gives ...

  p²/(p² +1) = (4p² -40p +100)/(p² -10p +34)

Cross-multiplying gives the 4th-degee equation ...

  p⁴ -10p³ +34p² = 4p⁴ -40p³ +104p² -40p +100

In standard form, this is ...

  3p⁴ -30p³ +70p² -40p +100 = 0

The only positive real solution in the domain (0, 5) is p ≈ 3.362.

P should be located about 3.36 km downriver from the refinery.

__

Additional comment

This problem does not ask for the cost, so we only need to know the relative cost of two routes.

The solution of the quartic equation is found using a graphing calculator in the first attachment.

The same graphing calculator can find the minimum of 'c' without bothering with differentiation and reducing the equation to a polynomial. This is shown in the second attachment. Note that graph also shows the cost in units of $300,000. That is, the cost of the pipeline will be about $3.1 million.

The width of Lewis´s rectangular cage as a mixed number in simplest form is equal to 14.86 inches.

Mathematically, the perimeter of a rectangle can be calculated by using this formula;

P = 2(L + W)

Where:

For the perimeter of Becky's rectangular cage, we have:

Perimeter, P = 2(L + W)

Perimeter, P = 2(15 + 11)

Perimeter, P = 2(26)

Perimeter, P = 52 inches.

For the perimeter of Lewis's rectangular cage, we have:

Length, L = 0.75W

Perimeter, P = 2(L + W)

52 = 2(0.75W + W)

26 = (0.75W + W)

1.75W = 26

Width, W = 26/1.75

Width, W = 14.86 inches.

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The value of f(-2) in the function f(x) = 3x² + 2x + 4 is 12.

A function is defined as a relation between a set of inputs having one output each. In a simpler term a function relates input and output.

In other words, a function relates each element of a set with exactly one element of another set (possibly the same set).

Therefore, let's solve the function below:

f(x) = 3x² + 2x + 4

Let's find f(-2) as follows;

To solve f(-2), we have to substitute the value of x in the function f(x) = 3x² + 2x + 4 with -2.

Therefore,

f(x) = 3x² + 2x + 4

f(-2) =  3(-2)² + 2(-2) + 4

f(-2) = 3(4)  - 4 + 4

f(-2) = 12 - 4 + 4

f(-2) = 12

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Answer:

Step-by-step explanation:

Answer:

-1    x     120

-2    x     60

-3    x     40

-4    x     30

-5    x     24

-6    x     20

-8    x     15

-10    x     12

1    x     -120

2    x     -60

3    x     -40

4    x     -30

5    x     -24

6    x     -20

8    x     -15

10    x     -12

Answer:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120.

Step-by-step explanation:

Answer:

18 in. x 10 in.

Step-by-step explanation:

Squares will always have equal lengths. So, you need to figure out what will multiple by itself to get 196, and it’s 14.

Since you know in the equation that if 4 were to be taken away from the length and added to the width, it would make the 14 x 14 square, you can subtract 4 from one of the 14’s and add 4 to the other 14.

So, then you get (14-4) 10 in. x (14+4) 18 in.

The greatest common factor, GCF, of 8y, -12x, and 4xy is 4

From the question, we are to determine the greatest common factor of the given expressions.

The given expressions are 8y, -12x, and 4xy

To determine the greatest common factor, we will express each of the expressions as a product of their factors.

8y = 2 × 2 × 2 × y

-12x = 2 × 2 × 3 × -x

4xy = 2 × 2 × x × y

From above, we can observe that the greatest common factor is

2 × 2

= 4

Hence, the greatest common factor is 4

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h(n) = -17·0.2^(n-1)

Step-by-step explanation:

The explicit formula for a geometric sequence with first term a1 and common ratio r is ...

an = a1·r^(n-1)

Your sequence h has first term a1 = -17 and common ratio r = 0.2. Then the explicit formula is ...

h(n) = -17·0.2^(n-1)

The equation of line in slope intercept form is y=−9/8x+7.

In the given question we have to write the equation of the graph line in slope intercept form.

The give points are(0,7) and (8,−2)

Let x(1)=0, y(1)=7, x(2)=8 and y(2)=−2.

The slope intercept form of equation is

y−y(1)=m(x−x(1))+c.........(1)

Before finding the equation we find the slope of equation.

Slope(m)={y(2)−y(1)}/{x(2)−x(1)}

Now putting the value

m=(−2−7)/(8−0)

m= −9/8

Now putting the value in equation 1

y−7=−9/8(x−0)

Now the equation is

y−7=−9/8x

Add 7 on both side

y−7+7=−9/8x+7

y=−9/8x+7

Hence, the equation of line in slope intercept form is y=−9/8x+7.

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Step-by-step explanation:

The total price of sneakers including tax will be equal to $20.75.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

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Answer:

whole triangle 180 degrees

y = 84 degrees

x = 36 degrees

Step-by-step explanation:

y = 180 - 96

x = y - 48. Reason: Exterior angle theorem

Substitute: x = 84 - 48

Answer:

180

36

84

Step-by-step explanation:

→ Find x

180 - (96 + 48) = 36

→ Find y

180 - 96 = 84

Answer:

[tex]\$320.29[/tex]

Step-by-step explanation:

Determine the formula:

[tex]x - (x \times 0.66) = 108.90[/tex]

Solve for x to get the original price:

[tex]x - (x \times 0.66) = 108.90\\x - 0.66x = 108.90\\x(1-0.66) = 108.90\\x = \frac{108.90}{1-0.66}\\x = \frac{108.90}{0.34}\\x \approx 320.29[/tex]

46 Days the number of days that the funds were on deposit on Interest rate.

What exactly does "interest rate" mean?

Interest earned = Principal*Interest rate*Time period

155.27 = 20,000 * 0.06 * Time period

Time period = 155.27/(20,000*0.06)

                      = 0.129339 years

                     =(0.129339 * 360)

                     = 46.56204 days

                     = 46 days(Approx)

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Answer:

1.6repeat miles per minute

Step-by-step explanation:

I'm not totally sure, but i just divided 5/3 and that's how I got the answer

The value of n in the line segment is - 9 / 4.

The length of a line segment can be found as follows:

Two point of the line segment are 2n + 9 / 2 and 9 / 2. The distance of the line segment is 9 / 2.

Therefore, let's find n as follows:

9 / 2 - (2n + 9 / 2) = 9 / 2

9 / 2 - 2n - 9 / 2 = 9 / 2

9 / 2 - 9 / 2 - 2n = 9 / 2

- 2n = 9 / 2

cross multiply

-2n × 2 = 9

- 4n = 9

divide both sides by -4

n = 9 / -4

n = - 9 / 4

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The equation of the line will be y = 12x -3 and the graph of the line with the given y-intercept and slope is shown below.

First, let us understand the slope intercept form of a line:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

We are given:

(0, −3), m = 12.

We need to determine the graph of the line with the given y-intercept and slope.

To find the value of b;

substitute the given values in the equation of the line, we will get;

y = mx + b

-3 = 12 *0  + b

b = -3

So, the equation of the line will be:

y = 12x -3

Thus, the equation of the line will be y = 12x -3 and the graph of the line with the given y-intercept and slope is shown below.

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Answer:

B

Step-by-step explanation:

Since -1 is greater the values given then x is less than -1

The amount of the first application that has been downloaded is 6.48 megabytes

The size of the second application is 7.35 megabytes

The first application has a size of 10.8 megabytes and out of this 10.8 megabytes, only 60% has completely downloaded. The amount that has already downloaded is therefore:

= Size of application x Percentage downloaded

= 10. 8 x 60%

= 6.48 megabytes

The second application is sized such that it is 3.45 MB less than the first application. The size of the application is therefore:

= 10.8 - 3.45

= 7.35 megabytes

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Using easy mathematical operations, we know that the value of x in the given rectangle is 6 cm.

An operation, in mathematics, is a mathematical function that transforms zero or more input values into a precisely defined output value.

The arity of the operation is influenced by the number of operands.

PEMDAS, parenthesis, exponents, multiplication, and division.

So, the value of x will be:

The given two rectangles have similar sides.

2cm is similar to 4cm.

3cm is similar to xcm.

Now, we can calculate x as follows:

2/4 = 3/x

2x = 4×3

2x = 12

x = 12/x

x = 6

Therefore, using easy mathematical operations, we know that the value of x in the given rectangle is 6 cm.

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Answer:

x = -3

y = 1

Step-by-step explanation:

Desmos is free and it will graph for you.  See picture.

The equation of the line in point slope form that passes through  the point (2, 6) and has a slope of 5 is y - 6 = 5(x - 2) .

The equation of a line can be represented in different form such as standard form, general form, point slope form and slope intercept form.

Therefore,

y - y₁ = m(x - x₁)

where

The line passes through (2, 6) and has a slope of 5.

Hence,

m = 5

The equation of the line in point slope form is as follows;

y - 6 = 5(x - 2)

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