Convert the equation 3x + 2y = 14 to slope intercept form

Town A and Town B are 1.5 miles apart.

The distance between town A and town B can be found by multiplying the distance traveled by the number of equal parts that make up the whole distance. In this case, the bus has traveled 12 miles out of 8 equal parts. To find the total distance, we can set up a proportion:

12 miles / 8 parts = x miles / 1 part

Cross-multiplying gives us:

8x = 12 miles

Dividing both sides by 8 gives us:

x = 1.5 miles

Therefore, town A and town B are 1.5 miles apart.

Answer:

The value of x is 6  

Step-by-step explanation:

Given the figure in which

DE=3x-8 and BC=20

we have to find the value of x.

By mid-point theorem which states that the line segment which is drawn to the mid-points of two sides of triangle is parallel to the third side and also half of the length of third side.

[tex]DE=\frac{1}{2}BC[/tex]

[tex](3x-8)=\frac{1}{2}\times 20[/tex]

[tex]3x-8=10[/tex]

[tex]3x=18[/tex]

[tex]x=\frac{18}{3}=6[/tex]

The value of x is 6

Option 2 is correct.

Answer:

C.

Step-by-step explanation:

Answer:

The correct tabe is here,

let take f(x)=y

then if

x=1,f(x)=7

x=2,f(x)=11/2

x=3,f(x)=5

x=4,f(x)=19/4

and so on so so far

Answer:

$ 38.17

Step-by-step explanation:

Answer: B. [tex]26x+270\leq1,325[/tex]

Step-by-step explanation:

Let 'x' denote the amount of money Annie can spend lunch for each person.

Given: The cost of renting the meeting room = $270

The number of people attend the meeting = 26

Then, the expression for total amount spent on lunch will be :-

[tex]\text{Total amount on lunch}=26x[/tex]

The expression for total spent by Annie will be:-

[tex]26x+270[/tex]

Since, the budget  for renting a meeting room at a local hotel and providing lunch= $1325

Thus, the inequality shows how to find the amount, x, Annie can spend lunch for each person will be :-

[tex]26x+270\leq1,325[/tex]

The equation of the parabola in vertex form is f(x) = -7x^2 + 4

To write the equation of a parabola in vertex form, we use the formula f(x) = a(x - h)^2 + k where (h, k) represents the vertex. In this case, the vertex is (0,4) so our equation becomes f(x) = a(x - 0)^2 + 4 which simplifies to f(x) = ax^2 + 4. To find the value of a, we substitute the coordinates of the point (1,-3) into the equation and solve for a. Plugging in these values, we get -3 = a(1)^2 + 4, which simplifies to -3 = a + 4. Solving for a, we find that a = -7. Therefore, the equation of the parabola in vertex form is f(x) = -7x^2 + 4.

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The number of  gallons of fuel Roselyn need for her journey is:

                      D.   5 gallons

It is given that:

Roselyn wants to drive her car at a speed of 60 miles per hour for 1.25 hours.

This means that the total distance she covers in 1.25 hours is:

[tex]60\times 1.25=75\ \text{miles}[/tex]

( Since, we know that speed is defined as the ratio of distance to time.

i.e.

[tex]Speed=\dfrac{Distance}{Time}\\\\i.e.\\\\Distance=Speed\times Time[/tex] )

Also, Her car has a fuel efficiency of 15 miles per gallon.

i.e.

She could cover 15 miles with 1 gallon of fuel.

Hence, in order to cover 75 miles.

i.e. to cover (15×5) miles she needs (1×5) gallons of fuel

i.e. she needs 5 gallons of fuel to cover 75 miles.

Answer:

Her goal is to read 150 pages each day.

Step-by-step explanation:

Let p represent the number of pages she wants to read each day.

Then 136% of that number is 204 pages, or, in an equation,

         1.36p = 204

Solving for p, we get:  p = 204/1.36 = 150 pages

Her goal is to read 150 pages each day.

See the attached figure.

E direction is a line which is parallel to x-axis. (blue line).

NW direction lies on a line that is at an angle of 135 degrees to the positive direction of the x axis. (red lines).

Intersection between red line and blue line will give the coordinates of the vessel in distress location which is point C (3,2)

Answer:

8/3 is between 2 and 3 above 2.5

11.3 is between 3 and 4 above 3.5

Step-by-step explanation:

8/3 converts to the decimal 2.666666... which means its located on the number line between 2 and 3 above 2.5.

11/3 converts to 3.6666.... which means its located on the number line between 3 and 4 above 3.5.

Draw a horizontal number line. Mark the point 8/3 at approximately 2.67 and the point 11/3 at approximately 3.67 to visually represent these values.

To plot the points 8/3 and 11/3 on a number line.

Draw a Horizontal Number Line

Start by drawing a horizontal line on a piece of paper or a whiteboard. This line will serve as your number line.

Make sure it's long enough to accommodate the range of values working with.

Mark the Point for 8/3 (approximately 2.67)

To plot the point 8/3 on the number line, need to find its approximate location.

To do this, you can divide 8 by 3 to calculate its decimal value:

8 ÷ 3 ≈ 2.67 (rounded to two decimal places).

Now, locate the point approximately at 2.67 on the number line, and make a small mark or dot to represent this point.

Mark the Point for 11/3 (approximately 3.67)

To plot the point 11/3 on the number line, calculate its approximate location in a similar way:

11 ÷ 3 ≈ 3.67 (rounded to two decimal places).

Locate the point approximately at 3.67 on the number line and make a small mark or dot to represent this point.

Label the Points (Optional)

label these points to indicate what they represent.

label the point at 2.67 as "8/3" and the point at 3.67 as "11/3" to provide context for the values you've plotted.

Therefore, the plotting of the points 8/3 and 11/3 on the number line is on the right side of zero between 2 and 4.

Learn more about number line here

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For future reference, Scapazzi was correct.

The arc length will be given as the circumference of the circle is 150.56 inches long.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

In a circle with a radius of 27 + 2/5 inches.

That can be written as 27.4.

An arc is intercepted by a central angle of 7π/4 radians.

The arc length will be given as the circumference of the circle

[tex]\rm Arc \ length = \dfrac{\theta}{2\pi} 2 \pi*r\\\\Arc \ length = \theta * r\\\\Arc \ length = \dfrac{7 \pi }{4} * 27.4 \\\\Arc \ length = 150.56[/tex]

Thus, the arc length will be given as the circumference of the circle is 150.56 inches.

More about the circle link is given below.

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To match the units of distance in feet and time in seconds, the units of the gravitational constant g must be feet per second squared (ft/s^2). On Earth, g is roughly 32.17 ft/s² in U.S. Customary units.

When Emily drops a coin from rest, the distance traveled by the coin (s) can be used to calculate the acceleration due to gravity (g) when the time (t) the coin took to fall is known. The formula provided suggests that distance is equal to 0.5 times gravity acceleration times the square of time (s = 0.5 * g * t²).

Given that Emily measured the distance in feet and the time in seconds, the units for g must be compatible with these measurements. Since distance is in feet and time is squared in seconds, the unit for g must be feet per second squared (ft/s²) to ensure that all units cancel out correctly, leaving us with the unit of distance in feet. On Earth's surface, the value of g using U.S. Customary units is approximately 32.17 ft/s².

The correct answer is C) (5m^50 - 11n^8) (5m^50 + 11n^8)

We can tell this because of the rule regarding factoring the difference of two perfect squares. When we have two squares being multiplied, we can use the following rule.

a^2 - b^2 = (a - b)(a + b)

In this case, or first term is 25m^100. So we can solve that by setting it equal to a^2.

a^2 = 25m^100 -----> take the square root of both sides

a = 5m^50

Then we can do the same for the b term.

b^2 = 121n^16 ----->take the square root of both sides

b = 11n^8

Now we can use both in the equation already given

(a - b)(a + b)

(5m^50 - 11n^16)(5m^50 + 11n^16)

Solution :- Let X be a group of people who have received treatment for cancer ,

and t be the survival time(The number of years a person lives after receiving treatment).

Now the density function giving the distribution of t =[tex]p(t)=ce^{-ct}[/tex]

for some positive constant c.

So to know the probability of a person of the given group live not more than d days, the  cumulative distribution function is given by

[tex]P(X\leq\ d )=\int\limits^d_{t_0}{ce^{-ct}\ dt[/tex]   where c be any constant.

The distribution function P(t), also called the cumulative distribution function (CDF) , which tells the probability that a variate T takes a value less than or equal to a number t. And P(t)is greater than 0 and less than1

Answer:

150

Step-by-step explanation:

30+30+30+30+30=150

Also 5*30=150

Answer:

Prime factors of 24 is 2× 3×2×2

Step-by-step explanation:

Given : Number  24.

To find: Write 24 as a product of its prime factors.

Solution : We have given that number 24

Prime number : numbers which are divisible by 1 or itself only

Example = 2, 3, 5, 7,....etc

So we will find the factor of 24 by prime factorization

24 is divisible by 1

24 ÷ 3 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Hence we can write 24 as 2× 3×2×2

Therefore, Prime factors of 24 is 2× 3×2×2