naimplane is flying at 48,000 feet above the ground. They hit some turbulance and begin to climb at a rate of 4 feet per second to avoid it. Which of the following equations

B)272

Explanation

An arithmetic sequence is defined as a series of numbers, in which each term (number) is obtained by adding a fixed number to its preceding term.

where 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the number of terms.so

Step 1

Let

replace,

therefore, the answer is

B)272

I hope this helps you

When sin R and sin q are equal to 1/4 and PR is equal to 5 cm, the length of PQ in centimeters is 1.875.

Therefore,

PQ/Sin (<PRQ) = PR/Sin (<PQR)

Substitute PR = 5 cm

Sin (<PRQ) = 1/4 , Sin (<PQR) =2/3

PQ/Sin (<PRQ) = PR/Sin (<PQR)

PQ/1/4 = 5/ 2×1/3

PQ = 1.875 cm

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4ac = 60

Explanation:

a=3

c =5

multiply 4 by value of a and value of c

4ac = 4 * 3 *5

4ac = 60

The volume of a rectangular prism:

Then, for the given prism:

Turn the 2 cm into m:

Then the volume of the given prism is 1.166 cubic meters

If you have a function f(x) and you translate it a units downward, you obtain a new function g(x) given by:

f(x) = g(x) - a

for the present case, you can notice that the original function has a slope of -3 and a y-intercept of 6, then, based on the general expression for an equation of a line, you have:

y = mx + b

m: slope = -3

b: y-intercept = 6

y = -3x + 6

after the translation you get:

y = -3x + 6 - 2

y = -3x + 4

Hence, the equation y = -3x + 4 represents the trasnlated line

The correct answer is d. $263

Eric worked 40 hours, gaining $3.20 per hour. Then:

40 hours * $3.2 = $128

Also he made tips for $25, $20, $40, $30 and $20. To get the total from tips, we add all them up:

25 + 20 + 40 + 30 + 20 = $135

The toal earning is

$128 + $135 = $263

In order to find the value of x, we need to replace y by 1.8 in the given expression:

Now, we can use the quadratic formula to find x:

Therefore, x can have two different values, which are, approximately,

-0.68 foot and 12.34 feet.

We were told that you have from 9:30 pm to 11 pm to do a project. This means that you have an hor and 30 minutes to do the project. Recall,

1 hour = 60 minutes

1 hour and 30 minutes would be 60 + 30 = 90 minutes

A) At 10pm, the amount of time that you have left is 1 hour(between 10pm and 11 pm)

This is equal to 60 minutes. The fraction of time left would be

time left/total number of hours

fraction of time that is remaining = 60/90 = 2/3

B) At 10:50 pm, the number of minutes left before 11 pm is 10 minutes. Thus,

Fraction of time that is remaining = 10/90 = 1/9

The probalem given in the question is,

144 can be written as 12^2.

Therefore,

Therefore, the answer is 12.

62.5% is the percentage of the money he earned that was earned by mowing lawns

The question simply asks what percentage of $240 is $150

This is shown below:

The Volume of the box = Length (L) x Width(B) x Height(H)

L= 12cm , B = 6cm and H =9cm

V= LBH

V= 12 x 6 x 9

V = 648 cm^3

Answer:

Your paycheck is $365, your coworker's $450

Step-by-step explanation:

We have 0.7x + x = 815 (0.7 because 1-(30/100)), where x is your coworker's paycheck.

Then, 1.7x = 815, x = 815/1.7 = 450. And finally, your paycheck is 815-450=365 (dollars)

Answers:

coworker earns = $479.41

you earn = $335.59

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

Explanation:

Your paycheck is 30% less than your coworkers, so the amount you earned is 70% of what they earned. This is because 30% + 70% = 100%. Or you can think of it like 100% - 30% = 70%.

x = amount your coworker earned

0.70x = amount you earned, i.e. 70% of x

The two amounts add to 815

x+0.70x = 815

1.70x = 815

x = 815/1.70

x = 479.411764705882 approximately

x = 479.41 dollars is what your coworker earned

0.70x = 0.70*479.41 = 335.587 = 335.59 dollars is what you earned

------------

Check:

30% of 479.41 = 0.30*479.41 = 143.823 = 143.82

You earned $143.82 less compared to $479.41, so your earnings is 479.41 - 143.82 = 335.59

Or the shortcut would be to say  0.70*479.41 = 335.59 as mentioned earlier.

Then add the subtotals and we should get 815

coworker + you = 479.41 + 335.59 = 815

The answers are confirmed.

Express the atandard form of equation of the line having slope m and a point (x1,y1).

Given that slope is -6 and point is (0,-8) implies,

Therefore, the atandarad form is y=-6x-8.

Express the equation of the line in standarad form ax+by=c.

Therefore, the atandard form is 6x+y=-8.

Explanation

Step 1

Given; The graph of the absolute value parent function, f(x) = Ixl, is stretched

horizontally by a factor of 3 to create the graph of g(x). What function is g(x)?

Step 2

Graph f(x)

If f(x) is stretched horizontally by a factor of 3 we have;

Thus, the answer is

Given:

Capacity of the car's fuel tank = 16 gallons

Gas mileage of car = 30 miles per gallon

Given that the driver filled the tank and got on a highway, let's solve for the following:

• (a) How many miles has the car traveled if it has the following amounts of gas left in the tank:

Use the expression:

Where g reresents the amount of gas left.

• 15 gallons:

If the car has 15 gallons left, to calculate the distance traveled, we have:

If the car has 15 gallons left, it has traveled for 30 miles.

• 10 gallons:

For 10 gallons, we have:

If the car has 10 gallons left, it has traveled for 180 miles.

• 2.5 gallons:

If the car has 2.5 gallons left, it has traveled for 405 miles.

• Part b.

Let's write an equation that shows the relationship between the distance traveled (d), and the amount of gas left in the tank in gallons(x).

To write the equation, we have:

• Part C.

Let's find the amount of gallons left in the tank when the car has traveled the following distances:

• 90 miles:

If the car has traveled 90 miles, it will have 13 gallons left in the tank.

• 246 miles:

If the car has traveled for 246 miles, it will have 7.8 gallons left in the tank.

• Part d.

To write the equation, we have:

Answer:

Step-by-step explanation:

For 90 :

90/x = 30

x=90/30

x=3 gallons

For 246 :

246/x=30

x=246/30

x=8.2 gallons

We have three functions

We need to find which expression give us

Let us start with the first expression

f(x) + h(x)

Let us add the like terms

Let us find the second expression

The 2nd bracket must be multiplied by (-)

Add the like term

The answer is B

If you try the other answer they will be wrong

In g(x) + f(x) the first terms are -x^2+2x^2 = x^2

So it is not our answer because the first term is 3x^2

In g(x) - h(x) the first terms are -x^2 - (-x^2) = -x^2+ x^2 = 0

So also it is not our answer

In h(x) - f(x) the first terms are -x^2 - 2x^2 = -3x^2

So it is not our answer

In f(x) + g( x) the first terms are 2x^2 + (-x^2) = x^2

So it is not our answer

The correct answer is B

2⁵ >5²

Since,

2⁵=32

and

5²=25

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

BB' = 6

B'A = 2

Step 02:

scale factor:

The answer is:

scale factor = 3

Given,

The diagram of the polygon with symmetry line is shown in question.

Required

The number of symmetry lines.

The axis or imaginary line that passes through the center of the shape or object and divides it into identical halves is called lines of symmetry.

From the diagram , it is clearly seen that 2 lines divided the shape into identical halves.

Hence, there are two lines of symmetry (line 1 and line 3).

The given equation is

Remember that the value which satisfies an equation must give the same equality. For example, in this case, we have to get 25 on both sides of the equation.

Observe that x = 11 will satisfy the equation

The sum of two rational numbers is also rational

That is;

Let a/b be a raional number and let e/f be another rational number

where b and f are non-zero numbers

Then there sum which is;

a/b + e/f = a.f + b.e /b.f which is also another rational number

Using the arrangements formula, the number of distinct seating arrangements is:

1287.

The number of possible arrangements of n elements is given by the factorial of the number n, that is:

[tex]A_n = n![/tex]

When elements are divided and classified with repetition, the number of arrangements is given as follows:

[tex]A_n^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n}[/tex]

In the context of this problem, the parameters are given as follows:

Hence the number of distinct seating arrangements is calculated as follows:

[tex]A_{13}^{8,5} = \frac{13!}{5!8!} = 1287[/tex]

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There are a number of transformations that can be used to alter the size and position of a shape. These include dilation, translation, reflection, and rotation.

Dilation can be either an enlargement, which results in an image that is larger than the original figure, or a reduction, which results in an image that is smaller than the original figure. If a dilation operation is performed on a shape, we will have a change in the lengths of the shape or the area covered. However, the angles of the shape remain the same since all the sides change by the same factor.

A reflection is a transformation that preserves both size and shape of a polygon or object. All that happens in a reflection is a change in the position and orientation of the shape.

If triangle ABC is dilated and reflected, any change in the side lengths is from the dilation. The angles are preserved, however, both by dilation and reflection.

The correct option is OPTION C.

To solve this problem, we will use the following property of exponents:

Now, notice that:

Therefore, we can rewrite the given expression as follows:

Recall that:

Therefore, we can split the root as follows:

Simplifying we get:

Multiplying like terms, we get:

Answer:

Example:

Simplify

First, we notice that:

Therefore, we can rewrite the expression as:

Simplifying we get:

SOLUTION

The given equations are

The graph of the equations are shown:

Notice that the line intersect at (3,15)

Therefore, the solutions of the system of equations are

Given:

number lights on when the show starts = 10

the rate at which the light comes on = 30 seconds per light

t = time in minutes

L = number of lights on

To find:

the function that bests models the number of lights after t minutes

To determine the function, we will apply linear function formula:

The initial number of lights = 10

b = 10

since t is in minutes, we need to convert the rate from seconds to minutes

30 seconds = 1 light

60 seconds = 2(30 seconds)

60 seconds = 2(1) = 2 lights

rate = m = 2 lights/min

substitute the values:

Let x and y be the price of a senior ticket and a child ticket, respectively.

Thus, the two equations mentioned in the question are

Subtract both equations as shown below,

Thus, the price of a child ticket is 12 dollars.

The problems which solution is -4+32i are options B, C, and E

We are asked to find which value makes the equation true.

Let the value be denoted by x.

Let us re-arrange the given equation to find the value of x.

Subtract 0.34 from b

Graphical Analysis of the Bell Curve (Normal Distribution)

The standard normal distribution has a graph that is called the bell curve. It's centered at z = 0 and has a total area of 1.

If we know the value of z, we can use any mathematical tool to find the area of the area before the value of z. It's called the left-tail area.

Conversely, if we have the area, we can find the value of z that has that area. It's called the inverse normal function.

We'll use Excel to calculate the z-score, given the area = 0.3520.

Result: z = -0.38