Use the given conditions to write an equation for the line in point slope form and general form.

Passing through (6,-4) and perpendicular to the line whose equation is x-7y-9=0

The equation of the line in point slope form is _________

It is not possible to determine the combined cost of 1 pound of salmon and 1 pound of trout based on the given information.

To find the combined cost of 1 pound of salmon and 1 pound of trout, we need to determine the individual costs of each type of fish and then add them together.
Let's denote the cost of 1 pound of salmon as "s" and the cost of 1 pound of trout as "t". We know that Melissa buys 212 pounds of salmon and 114 pounds of trout, and she pays a total of $31.25.
From the given information, we can set up two equations:
Equation 1: 212s + 114t = 31.25 (total cost equation)
Equation 2: t = s - 0.20 (trout costs $0.20 per pound less than salmon)

To find the combined cost, we need to eliminate one variable. Let's solve Equation 2 for s:
s = t + 0.20
Substituting this value of s in Equation 1, we get:
212(t + 0.20) + 114t = 31.25
Expanding and simplifying the equation:
212t + 42.40 + 114t = 31.25
326t + 42.40 = 31.25
326t = 31.25 - 42.40
326t = -11.15
t = -11.15 / 326
t ≈ -0.034
However, since we're dealing with the cost of fish, a negative value doesn't make sense. So, we can conclude that there may be an error in the given information or calculation.

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Answer:

2 and 3

If you want to get complicated, then 2.39 and 2.61.

Step-by-step explanation:

5 = x + y

5 = 2 + 3

5 = 5

Answer:

Step-by-step explanation:

it is A≈153.94m²

Answer:

d Diameter 14 \(m\)  

Step-by-step explanation:

Using the formulas

A= \(\pi r^{2}\)

d= 2 r

Solving for A

A= \(\frac{1}{4}\) \(\pi\) d²= \(\frac{1}{4}\)·\(\pi\)·14²≈153.93804\(m^{2}\)

Have a Nice Day.

Answer:

(3,-7)

Step-by-step explanation:

i’ll explain in the comments :)

Answer:

\(inrease \: = 900 - 250 = 650 \\ persent = \frac{650}{250} \times 100 \\ = 65 \times 4 = 260\)

====================================================

Explanation:

We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.

This is what your steps could look like:

cos(angle) = adjacent/hypotenuse

cos(L) = LM/LN

cos(L) = 18/60

cos(L) = 0.3

L = arccos(0.3)

L = 72.542396876278 which is approximate

L = 72.54 degrees approximately

Make sure your calculator is in degree mode.

Answer:

32 classmates and each classmate pays $19 per ticket. This is a multiplication problem. We can solve this a couple of ways:

  32

*19

-------

288

320

-------

608

Another way is to realize 19 is nearly 20, multiply 32 by 20 and then subtract 32:

 32

*20

------

640

640

-32

-----

608

So, the answer is $608

Answer:

$608

Step-by-step explanation:

The answer is $608 because each ticket costs $19 and 32 students are going to the fair. Therefore, it's 32 x 19 = 608.

Hope this helps!

Answer:

m = 1/2

Step-by-step explanation:

\(m = \frac{ - 2 - ( - 3)}{0 - ( -2)} = \frac{1}{2} \)

Answer:

k = 20

Step-by-step explanation:

Expressing 18, 36 and 54 as a product of their prime factors

18 = 2 × 3 × 3 = 2 × 3²

36 = 2 × 2 × 3 × 3 = 2² × 3²

54 = 2 × 3 × 3 × 3 = 2 × 3³

The common prime factors are 2 and 3²

HCF = 2 × 3² = 2 × 9 = 18

Thus

k - 2 = 18 ( add 2 to both sides )

k = 20

The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Now,

Since, F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Hence, The values are;

F ∩ H = {v | v < 4 } ∩  {v | v ≥ 7 }

         = Ф

And, F ∪ H = {v | v < 4 } ∪  {v | v ≥ 7 }

                 = (- ∞, 7]

Thus, The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

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Answer:

C≈62.83

Step-by-step explanation:

C=2πr=2·π·10≈62.83185

Answer:

94.2

Step-by-step explanation:

circumference is d(pi)

20(3.14)= 94.2

Answer: (1,3)and (-4,-12)

Step-by-step explanation:

Step-by-step explanation:

do 1/2 x 4/2 x 3/2 = your answer :)

In order to determine how many tablets the patient will take per dose, we need to calculate the ratio between the ordered dose and the available stock.

First, we need to convert both the ordered dose and the available stock to the same unit of measurement. In this case, we are dealing with milligrams (mg).

The ordered dose is 140 mg po (per oral), which means the patient needs to take 140 mg of the medication orally.

The available stock is 35 mg po scored tablets, which means each tablet contains 35 mg of the medication and is designed to be easily divided or broken in half.

To calculate the number of tablets the patient will take per dose, we need to divide the ordered dose by the amount of medication in each tablet:

140 mg / 35 mg = 4 tablets

Therefore, the patient will need to take four tablets per dose to achieve the ordered 140 mg dose. It is important to note that the instructions say "do not round your answers," which means we should not round up or down to a whole number.

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Answer:

2

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

Answer:

5 cm

Step-by-step explanation:

The length of the drawing will be 450 / 90 = 5 cm.

Ram will be 5 times as old as he is now after 8 years. Ram will be 10 times as old as he is now in 18 years hence.

To determine when Ram will be 10 times as old as he is now, let's first find out his current age.
The student question states that Ram will be 5 times as old as he is now after 8 years. Let's denote Ram's current age as "x" years.
Step 1: Write the equation to represent Ram's age 8 years from now.
In 8 years, Ram's age = 5 × (current age)
So, 5x = x + 8
Step 2: Solve the equation to find Ram's current age.
4x = 8
x = 2
So, Ram's current age is 2 years old.
Now, let's find how many years hence he will be 10 times as old as he is now.
Step 3: Write the equation to represent when Ram will be 10 times as old as he is now.
10 × (current age) = (current age) + (years hence)
10 × 2 = 2 + y (where y = years hence)
Step 4: Solve the equation to find the years hence.
20 = 2 + y
y = 18
So, Ram will be 10 times as old as he is now in 18 years hence.

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The final point where -(-7)−(−7) number after simplification lie is 14

In the above question it is given,

-(-7)−(−7)

We need to find the position of this number on the number line.

A number line is a visual depiction of numbers on a straight line in mathematics. A number line's numerals are arranged in a sequential manner at equal intervals along its length. It is often displayed horizontally and can be infinitely expanded in any direction.

To do that, we will first simplify the given numbers by using the sign rules of the real numbers

According to the sign rule of real numbers,

(i) (-) x (-) = +

(ii) (-) x (+) = -

(iii) (-) +(-) = -

(iv) (+) + (+) = +

Now using the above sign rules, we will simplify the given number

-(-7)−(−7)

-(-7)+ [-(−7)]

7 + 7

Now, on the number line, we'll move 7 steps in the positive direction of 0, we'll be on 7. Again from 7 we'll take next 7 steps in the same direction and we'll reach the point 14.

Hence, 14 is the final point where -(-7)−(−7) number after simplification lie.

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Answer:

E. 360

Step-by-step explanation:

We have two boxes of 6in by 6in,

and 4 with 12in by 6in, so we just multiply to find the area and add them up

6 x 6 = 36 x 2 = 72

12 x 6 = 72 x 4 = 288,

add them up and we get 360.

(っ◔◡◔)っ ♥ Hope It Helps & Please Consider Giving Brainliest♥

Answer:

E

Step-by-step explanation:

6*6= 36

There are two of these squares so 72

12*6= 72

there are four of these rectangles so 288

soooo......288+72= 360

so E

If we have a large collection of apples with a normal distribution of weights with a mean of 9 ounces and a standard deviation of 2 ounces, we can expect that about 34.13% of the apples will weigh between 9 and 11 ounces.

To find the percentage of apples that can be expected to weigh between 9 and 11 ounces, we need to find the area under the normal distribution curve between these two values.

First, we need to standardize the values by subtracting the mean and dividing by the standard deviation:

z1 = (9 - 9) / 2 = 0
z2 = (11 - 9) / 2 = 1

Next, we can use a standard normal distribution table or calculator to find the area under the curve between z1 and z2. This area represents the percentage of apples that can be expected to weigh between 9 and 11 ounces.

Using a standard normal distribution table, we can find that the area between z = 0 and z = 1 is 0.3413. This means that approximately 34.13% of the apples can be expected to weigh between 9 and 11 ounces.

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Answer:

1684.8 cubic units

Step-by-step explanation:

In oblique cylinder the height (altitude) is measured from the opposite base to the base of the cylinder, but it lies outside. We can find the height using Pythagoras theorem.

       h + 7² = 13²

              h²= 169 - 49

              h² = 120

               h = √120

                h = 10.95 units

radius = r = 7 units

\(\boxed{\text{\bf Volume of oblique cylinder = $\bf\pi r^2h$} }\)

                                                    = 3.14 * 7 * 7 * 10.95

                                                    = 1684.8 cubic units

Answer:

2π r = Circumference formula

2π r = 18

r = 18/2π

r= 2.86cm

Hope this helps :)!

I'd appreciate if you'd mark me brainliest because ive been stuck on the same rank for wayyy too long :(

Goodluck! :)

Answer:

2.87 is the approximate radius

Step-by-step explanation:

The circumference is given by

C = 2 * pi *r

18 = 2 pi r

Divide each side by 2pi

18/2pi = 2 pir/ 2pi

9/pi = r

Letting pi be approximated by 3.14

9/3.14 = r

2.866242038

2.87 is the approximate radius

The correct option is a)440 feet. Explanation:According to the question, a ball is dropped from a height of 48 feet and rebounds two-thirds of the distance it falls. After it rebounds, the height that the ball reaches is (2/3) × 48 = 32 feet. Therefore, the total distance that the ball travels before coming to rest is given by the geometric series:

S = 48 + 2 × 32 + 2 × (2/3) × 32 + 2 × (2/3)2 × 32 + ...

We can write this as:

S = 48 + 2 × 32 + 2 × (2/3) × 32 + 2 × (2/3)2 × 32 + ... + 2 × (2/3)n × 32 + ...

where n is the number of bounces that the ball makes before coming to rest. We want to find the total distance that the ball travels, which is the sum of this infinite geometric series. The formula for the sum of an infinite geometric series is:

S = a/(1 - r)where a is the first term and r is the common ratio. In this case, the first term is 48 and the common ratio is 2/3. Therefore:S = 48/(1 - 2/3) = 48/(1/3) = 144 feetThis is the total distance that the ball travels before coming to rest. However, we have counted the distance that the ball travels upwards as well as downwards.

Therefore, the total distance that the ball travels downwards is half of the total distance that it travels:S(down) = 144/2 = 72 feetHowever, we have only counted the distance that the ball travels during the first bounce. Therefore, the total distance that the ball travels downwards is:

S(down) = 48 + 2 × (2/3) × 48 + 2 × (2/3)2 × 48 + 2 × (2/3)3 × 48 + ...

S(down) = 48/(1 - 2/3) × (1 - (2/3)4) = 48/(1/3) × (1 - 16/81) = 144 × (65/81) = 480/3 × 65/81 = 800/3 feet = 266.67 feet

Therefore, the total distance that the ball travels before coming to rest is 2 × S(down) = 2 × 266.67 = 533.33 feet, which is approximately equal to 440 feet when rounded to the nearest integer.

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Answer:

\(f(a) = 4(a + 4) - 3 = 4a + 16 - 3 \\ f(x) = 4a + 13 \\ f(5) = 4(5) + 13 = 20 + 13 \\ \boxed{f(5) = 33}\)

Answer:

45

Step-by-step explanation:

45! £€#^_#÷5€£¥¥*^

Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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Answer:

-6

Step-by-step explanation:

The pattern here is that you substract 15 every time you move a number (left to right) , therefore: 9-15 = -6

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

Answer:

c) 27.9

Step-by-step explanation:

Since MN is the midsegment ,

MN = (AB + CD)/2

21.1 = (AB + 14.3)/2

21.1*2 = AB + 14.2

AB = 42.2 - 14.2

AB = 27.9

Answer:

C

Step-by-step explanation:

the midsegment is equal to half the sum of the parallel bases, that is

\(\frac{1}{2}\) (AB + CD) = MN ( substitute values )

\(\frac{1}{2}\) (AB + 14.3) = 21.1 ( multiply both sides by 2 to clear the fraction )

AB + 14.3 = 42.2 ( subtract 14.3 from both sides )

AB = 27.9 cm