An investment group compares returns on an account
against the function represented in the table, where x is the
time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the
table?
х
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
0
5
f(x)
10,000
12,201.90
14,888.64
22,167.15
10
20

Answer:

10/1 = 10

Step-by-step explanation:

1) Subtract: 8 - 3 = 5

2) Multiple: 3 * the result of step No. 1 = 3 * 5 = 15

3) Multiple: the result of step No. 2 * 2 = 15 * 2 = 30

4) Divide: the result of step No. 3 : 5 = 30 : 5 = 6

5) Subtract: 16 - the result of step No. 4 = 16 - 6 = 10

Answer:

3.4 yd^3

Step-by-step explanation:

The volume is

V = l*w*h

V = 2 4/5 * 2 * 3/5

Changing the mixed number to an improper fraction

2 4/5 = ( 5*2+4)/5 = 14/5

V =  14/5 * 2 * 3/5

  = 84/25

Changing back to a mixed number

3*25 = 75 with 9 left over

3 9/25

3.36 yd^3

To the nearest tenth

3.4 yd^3

Answer: 3.4 yards cubed, after rounding.

Step-by-step explanation:

To find the volume of a rectangular prism, use the following formula:

[tex]V = wlh[/tex], where w is the width, l is the length, and h is the height

Substitute the values given to you into the formula:

[tex]V = 2 * \frac{3}{5} * 2\frac{4}{5}[/tex]

Simplify the mixed number by multiplying both the numerator and denominator of 2/1 by 5 to get 10/5 and add it to the fraction to get 14/5.

[tex]V = \frac{2}{1} * \frac{3}{5} * \frac{14}{5}[/tex]

Now, multiply the numerators and denominators of the fractions and simplify:

[tex]V = \frac{2 * 3 * 14}{5 * 5}\\\\V = \frac{84}{25}\\\\\\V = 3.36[/tex]

The volume is 3.36 yards cubed. Round to the nearest tenth to get 3.4 yards cubed.

Answer:

[tex]y = \frac{4}{3} x[/tex]

Step-by-step explanation:

Perpendicular = m1*m2 = -1

[tex]-\frac{3}{4}*\frac{4}{3} = -1[/tex]

[tex]y = \frac{4}{3} x +b[/tex]

[tex]12 = \frac{4}{3}(9)+b\\12 = 12 + b\\b = 0\\y = \frac{4}{3} x+0\\y = \frac{4}{3} x[/tex]

The equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].

Given that, the equation of a line [tex]y=\frac{-3}{4}x+1[/tex] and the coordinate point (9, 12).

Slope of a perpendicular line can be computed from the slope of a given line. The product of the slope of a given line and the slope of the perpendicular line is equal to -1. If the slope of a line is m1 and the slope of the perpendicular line is m2, then we have m1.m2 = -1.

From the given equation of a line slope m1=-3/4

The slope perpendicular to equation of line m2 = -1/m1 = 4/3

Now, substitute m=4/3 and (9, 12) in y=mx+c and solve for c.

That is, [tex]12=\frac{4}{3} \times 9 +c[/tex]

⇒ c=0

Put c=0 and m=4/3 in y=mx+c, we get

[tex]y=\frac{4}{3}x[/tex]

Therefore, the equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].

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Answer: 12:2, 6:1, 24:4

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3-(-2)=5

Answer:

5

Step-by-step explanation:

It becomes 3+2 because the negatives cancel out.

the Answer is:

3/4x + 1/4

Answer:

y=3/4 x + 1/4

Step-by-step explanation:

y=mx+b

(5,4) first point

(-3,-2) second one

m=y2-y1/x2-x1 =-2-4/-3-5=-6/-8=-3/-4=3/4

find b when x=5 and y= 4

y=mx+b

4=3/4 (5) +b

4-15/4 =b

4 b=16-15

b=1/4

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Answer:

7x^2+5x-12

Step-by-step explanation:

(6x^2+5x-3)+(x^2-9)

Combine like terms

(6x^2+ x^2+5x-3-9)

7x^2+5x-12

Answer:

No it is not a function.

Step-by-step explanation:

Answer:

No. This is NOT a function.

Step-by-step explanation:

8x-4=2x-3  

One solution was found :

                  x = 1/6 = 0.167

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8*x-4-(2*x-3)=0  

Step by step solution :

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    6x-1 = 0  

Add  1  to both sides of the equation :  

                     6x = 1

Divide both sides of the equation by 6:

                    x = 1/6 = 0.167

One solution was found :

                  x = 1/6 = 0.167

i am not solving for x i am solving for you lol!!!

Answer:

1) (2,2)

2) (2,-1)

3) (-4,1)

Step-by-step explanation:

Answer:

[tex]=4y[/tex]

Step-by-step explanation:

[tex]y-\left(-3y\right)\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=y+3y\\\mathrm{Add\:similar\:elements:}\:y+3y=4y\\=4y[/tex]

Answer:

[tex] = 4y[/tex]

Step-by-step explanation:

[tex]y - ( - 3y)[/tex]

we know that,

[tex]( - ) \times ( - ) = ( + )[/tex]

so,

[tex]y - ( - 3y) \\ y + 3y \\ = 4y[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x = y / (4x+11)

Step-by-step explanation:

y = 4x^2 + 11x

4x^2 + 11x - y = 0

4x^2 + 11x = y

x(4x + 11) = y

x = y / (4x+11)

Answer:

I'm sorry I don't have an answer but for all future math work you should download photomath on your phone it's rly good

Answer:

The solution set of the quadratic equation is

x = {7, -5}

Step-by-step explanation:

Given the quadratic equation

[tex]$ x^2 - 2x -35 = 0 $[/tex]

We need to factor this equation

So you need two numbers such that

a + b = -2

and

a×b = -35

How about -7 and 5?

-7 + 5 = -2

-2 = -2

and

-7×5 = -35

-35 = -35

(x - 7)(x + 5) = 0

(x - 7) = 0

x = 7

and

(x + 5) = 0

x = -5

Therefore, the solution set of the quadratic equation is

x = {7, -5}

Verification:

Plug 7 into the quadratic equation

[tex]x^2 - 2x -35 = 0 \\\\(7)^2 - 2(7) -35 = 0 \\\\49 - 14 - 35 = 0 \\\\49 - 49 = 0\\\\0 = 0[/tex]

Plug -5 into the quadratic equation

[tex]x^2 - 2x -35 = 0 \\\\(-5)^2 - 2(-5) -35 = 0 \\\\25 + 10 - 35 = 0 \\\\35 - 35 = 0\\\\0 = 0[/tex]

Answer:

what shape is ABCD?

Answer:

Step-by-step explanation: 60%

Answer:

9

Step-by-step explanation:

You can assume the two triangles have the same side ratio since their angles are equal. So 16/18 = y-1/y

Simplify to get...

16y = 18(y-1)

16y = 18y - 18

-2y = 18

y = 9

Answer:

hope this is correct

Answer:

108

Step-by-step explanation:

Answer:

Yes, but no

Step-by-step explanation:

So the trapezoid is a quadrilateral because it has four sides. ... A rectangle can also be termed as trapezoid as its one pair of opposite is parallel and equal. On the other hand a trapezoid may not have all its internal four angles as right angles but a rectangle must have all its angles as right angles.

Hope this helps you

Answer:

Step-by-step explanation:

Answer: ŷ = 0.07X + 5.2

Step-by-step explanation:

Given the following :

Number of citations 5 - 7.5 - 10 - 15 - 20

Outputs Residuals 3 - - 6 - - 10 - 5 - - 6

Using the online regression calculator :

Line of best fit is represented by the equation:

ŷ = 0.06897X + 5.2069

ŷ = 0.07X + 5.2

From the line equation:

y = mx + c

With 0.07 = slope of gradient(m)

Intercept (c) = 5.2 (point where the line of best fit intersect the y_axis

x and y are values of x and y respectively

Step-by-step explanation:

21% of 36570

21/100 x 36570 = 7679.7

12.2% of 640

12.2/100 x 640 = 78.08

87.5% of 860

87.5/100 x 860 = 752.5

37.5% of 3200

37.5/100 x 3200 = 1200

Answer:

Idk it really hard to do

Answer:

16

Step-by-step explanation:

x^2 = whole * part

x^2 = (6+2) * 2

x^2 = 8*2

x^2 = 16

Answer:

16

Step-by-step explanation:

Hope this helps.

If you find answers that say 48 for this same problem, they are incorrect.  Please disregard them.

Answer:

678

2

679

Step-by-step explanation:

Number of people: 5426

Capacity of table: 8

How many tables are full?

How many people are sitting at a table that is not full?

or

How many tables are needed for all 5,426 people?​

The pattern is attached in the image provided with the work.

I have started off listing 4 terms and then 3 blanks

so we can study the pattern and find the next few terms.

Here, notice that the difference between -5 and 1/2 and -5 is +1/2.

The difference between -5 and -4 and 1/2 is +1/2

and the difference between -4 and 1/2 and -4 is +1/2.

Continuing the same pattern, -4 + 1/2 will be equal to -3 and 1/2.

-3 and 1/2 + 1/2 will be equal -3

and -3 + 1/2 will be equal to -2 and 1/5.

Answer:

A

Step-by-step explanation:

49-45 = 4 wrong

4/49 = 0.08163

        = 8.16%

Answer:

A) 8.16

Step-by-step explanation:

1) Subtract 49-45

2) Divide 4/49 and multiply by 100

3) Then multiply by 100

Hope this helped

Answer:

To find the perimeter of the triangle, you need to add up the three sides of the triangle

     /\

1 /__\ 5

     9

1+5+9

_________________________________

Hey!!

The formula to find perimeter of triangle is a+b+c

For example:

If a triangle has the sides of 5,4 and 3 respectively,then to find the perimeter of triangle,we have to use the formula a+b+c which equals to 12.

Hope it helps

Good luck on your assignment

___________________________________

Answer:

B. 10.9

Step-by-step explanation:

Area of triangle= 1/2*24*h

∠N=90° ⇒ Area of triangle= 1/2*MN*ON

MN²= h²+(24-7)²

ON²= h²+7²

Answer:

3

Step-by-step explanation:

2x=2+4

2x=6

x=3

#RAVEN

Answer:

1. 1320.7 km

2. 015.8 degrees.

3. 461.8 km/h.

Step-by-step explanation:

(1) the distance from the airport is approximately 1096.5 km.

(2) the bearing of the plane from the airport is approximately 24.4 degrees.

(3) the average speed of the airplane for the whole flight is approximately 580 km/h.

(1) To find the distance the plane is from the airport, we can break down the two legs of the journey into their respective distances and use the Pythagorean theorem.

For the first leg of the journey, the plane flies due North for 2 hours at a speed of 500 km/h. Therefore, the distance covered is:

Distance = Speed * Time = 500 km/h * 2 h = 1000 km

For the second leg of the journey, the plane flies at a bearing of 053 degrees at a speed of 300 km/h for 90 minutes (1.5 hours). We can calculate the distance covered using the formula:

Distance = Speed * Time = 300 km/h * 1.5 h = 450 km

Using the Pythagorean theorem, the distance from the airport is the hypotenuse of a right triangle with sides of 1000 km and 450 km:

Distance from the airport = √(1000² + 450²) ≈ 1096.5 km (rounded to 1 decimal place)

Therefore, the distance from the airport is approximately 1096.5 km.

(2) To find the bearing of the plane from the airport, we need to determine the angle between the plane's position and the north direction. We can use the inverse tangent function (arctan) to find this angle.

The angle can be calculated as:

Angle = arctan(opposite/adjacent) = arctan(450/1000) ≈ 24.4 degrees (rounded to 1 decimal place)

Therefore, the bearing of the plane from the airport is approximately 24.4 degrees.

(3) To find the average speed of the airplane for the whole flight, we can calculate the total distance traveled divided by the total time taken.

The total distance traveled is the sum of the distances from the first and second legs of the journey:

Total Distance = 1000 km + 450 km = 1450 km

The total time taken is the sum of the time taken for each leg:

Total Time = 2 hours + 1.5 hours + 2.5 hours (150 minutes is equal to 2.5 hours)

Average Speed = Total Distance / Total Time = 1450 km / 2.5 h ≈ 580 km/h (rounded to 1 decimal place)

Therefore, the average speed of the airplane for the whole flight is approximately 580 km/h.

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