A model of a rectangular prism is shown below.

Answer:

The distance between these two points is of 5 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this question:

Distance between  (-7,-1) and (-4,3). So

[tex]D = \sqrt{(-4-(-7))^2+(3-(-1))^2} = \sqrt{3^2+4^2} = \sqrt{25} = 5[/tex]

The distance between these two points is of 5 units.

Answer:In 3 years, you will have $1,462.32

Step-by-step explanation:

2y+9y+x+3x+4y+3y

11y+4x+7z

Answer:

for 8/24 the answer will be 1/3.

and for 8/32 the answer will be 1/4.

and for 6/30 the answer will be 1/5.

and for 12/24 the answer will be 1/2.

and for 9/21 the answer will be 3/7.

and for 5/20 the answer will be 1/4

Step-by-step explanation:

Answer:

b or d

Step-by-step explanation:

9514 1404 393

Answer:

  120

Step-by-step explanation:

The number of permutations of 5 things taken 4 at a time is 120.

__

There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.

120 4-digit codes can be formed using odd digits with no repetition.

Answer:

f(x) > h(x) > g(x)

Step-by-step explanation:

For the average rate of change of a function between x = a and x = b,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

From the table given,

Average rate of change of function 'f' between x = 1 and x = 3,

Average rate of change = [tex]\frac{f(3)-f(1)}{3-1}[/tex]

                                        = [tex]\frac{15-7}{3-1}[/tex]

                                        = 4

For the function 'g',

g(x) = 2x² - 18x

Average rate of change = [tex]\frac{g(3)-g(1)}{3-1}[/tex]

g(3) = 2(3)²- 18(3)

      = 18 - 54

      = -36

g(1) = 2(1)² - 18(1)

      = 2 - 18

      = -16

Therefore average rate of change = [tex]\frac{-36+16}{3-1}[/tex]

                                                         = -10

From the graph attached,

Average rate of change of the graph between x = 1 and x = 3,

Average rate of change = [tex]\frac{h(3)-h(1)}{3-1}[/tex]

h(3) = 7.5 [Although the graph is not clear]

h(1) = 2

Average rate of change = [tex]\frac{7.5-2}{3-1}[/tex]

                                        = 2.75

Therefore, order of rate of change (from greatest to the least) for the given functions will be,

f(x) > h(x) > g(x)

9514 1404 393

Answer:

  5) 112°

  6) 40°

Step-by-step explanation:

5) The angle E or ? is half the sum of the intercepted arcs:

  ? = (130° +94°)/2 = 112°

__

6) The angle D is half the difference of the intercepted arcs:

  ? = (135° -55°)/2 = 40°

Answer:

34 sold for $20

55 sold for $35

Step-by-step explanation:

20x+35y=2605

y=(98-x)

20x+35(89-x)=2605

Solve for x

20x+3115-35x=2605

20x-35x=2605-3115

-15x=-510

x=34

Answer:

74940

Step-by-step explanation:

I believe you meant 74.94*10^3.  The ^ indicates exponentiation.  10^3 is equivalent to 1000; Multiplying 74.94 by 1000; we get 74940.

Answer:

3/12

Step-by-step explanation:

10-7 is 3, so its 3/12.

The dimension of the box is 12 by 7 by 8

The volume of the box = lwh

Given the following

l = w

w = w - 5

h = w - 4

Hence;

w(w-5)(w-4) = 56w

Expand to have

(w^2-5w)(w-4) = 56w
w^3 - 4w^2 - 5w^2 + 20w = 56w
w^3 -9w^2 - 36w = 0

Factorize to get the value of w;

w(w^2-9w-36)=0

w^2 - 12w + 3w - 36 = 0

w(w-12) + 3(w-12)= 0
w = -3 and 12

Hence the dimension of the box is 12 by 7 by 8

Learn more on volume of box here: https://brainly.com/question/15532376

Answer:

2.5

Step-by-step explanation:

10/1  * 1/4 = 2.5

Answer:

It represents growth, and the percentage rate of increase is of 8%

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which A(0) is the initial amount and r is the rate of change, as a decimal. If positive, it is growth, if negative, it is decay.

In this question:

[tex]y = 21(1.08)^x[/tex]

So

[tex]1 + r = 1.08[/tex]

[tex]r = 0.08[/tex]

Since r is positive, it represents growth, and the percentage rate of increase is of 0.08*100% = 8%

Answer:

assuming that the figure is a parallelogram:

area = base x height

area = (x + 3) (2x) = 2x² + 6x

Step-by-step explanation:

Answer:

14

2× 14 is 28 and that's the perimeter of the rectangle

Answer:

2x^3+17x^2+10x−50

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8x5=40 + 5 = 45

That's the answer

Answer:

8.

Step-by-step explanation:

five times 8 is 40. add five is 45.

Answer:

JML is 26 degrees.

PMN is 64 degrees.

NMK is 26 degrees.

Answer:

Step-by-step explanation:I’m not smart because I am get fs

Answer:

Answer:

i think it's 14:1 i can't understand 503500.

Answer:

We have to use heron’s formula to find the area of the triangle.   Here a=7cm, b=9cm and c=12cm  s = (a+b+c)/2 = (7+9+12)/2 = 28/2 = 14  Area of the triangle = √s(s-a)(s-b)(s-c)  = √14(14-7)(14-9)(14-12) = √14×7×5×2 = √2×7×7×5×2 = √5×(2×2)×(7×7) = 14√5 cm^2  Hence area Of the triangle is 14√5 cm^2.

Answer:

p= angle180_(50+70)

p=180_120

angle p=60

The sine function is:

f(x) = -2*sin(x/2) + 3.

So you got it almost correctly, you only forgot to apply the reflection.

We start with the general sine function:

[tex]a*g(w*x + p) +m[/tex]

where g(x) = sin(x)

f(0) = 2*sin(w*0 + p) + 3 = 3

      = 2*sin(p) + 3 = 3

Then we must have p = 0, so there is no phase shift.

We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:

f(x) = 2*-sin(wx) + 3

Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:

f(x) = -2*sin(x/2) + 3.

This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.

If you want to learn more about sinusoidal functions, you can read:

https://brainly.com/question/18055768

Answer:

I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures

hope this helps