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Question 12(Multiple Choice Worth 1 points)

(01.03 MC)

What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5?

40
41
42
43

Answer:

Refer to the attached file

Hope it helps..

Answers:

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

Explanation:

The tickmarks show that WZ and XY are the same length. The arrows show that WX is parallel to ZY. This is an isosceles trapezoid.

For any isosceles trapezoid like this, the diagonals are the same length. We can prove it using the SAS congruence theorem.

So,

WY = XZ

15x-2 = 9x+10

15x-9x = 10+2

6x = 12

x = 12/6

x = 2 .... first answer

Use that value of x to find the length of each diagonal.

Both diagonals are 28 units long, which helps confirm we have the right x value.

Answer:

y = 5x

Step-by-step explanation:

y = kx

65 = k (13)

65/13 = k

k = 5

~~~~~~~~~~~~

y = 5x

Answer:

8

Step-by-step explanation:

First your rectangle

A = wl

A  = 2 * 2

A = 4

Then one of your triangles

A = h b/2

A = 2 * 2/2

A = 2

you have 2 triangles, so the area is 4 + 4 from the rectangle

Answer:

Area = 8 units²

Step-by-step explanation:

Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.

Therefore, the area of the trapezoid is:

[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]

[tex]A=\frac{1}{2}(6+2)(2)[/tex]

[tex]A=\frac{1}{2}(8)(2)[/tex]

[tex]A=8[/tex]

This means that the area of the trapezoid is 8 units²

Answer:

The two integers are : -3 , 7

Step-by-step explanation:

Let the integers be x and y

Given one of the integer is 10 more than the other, Let x = y + 10 -----(1)

Also Given sum of integers . x + y = 4 ----------- (2)

Substitute ( 1 ) in (2)

x + y = 4

(y + 10) + y = 4

y + 10 + y = 4

2y + 10 = 4

2y = 4 - 10

2y = -6

y = -3

Substitute y = -3 in ( 1 ) : x = - 3 + 10 = 7

Answer: 0.4%

Step-by-step explanation:

First, a porportion needs to be set up.

part/whole = percent/100

28/7,000 = x/100

Second, cross multiply.

2800=7,000x

x=0.4

Answer:

No

Step-by-step explanation:

We can use the Pytaghorean theorem to verify it

4.4^2 + 5.5^2 = 6.6^2

19.36 + 30.25 = 43.56

49.61 = 43.56 (false)

Answer:

D. F(x) = (x - 1)^4

Step-by-step explanation:

To shift a graph h units horizontally, replace x by x - h.

The shift is 1 unit to the right, so the shift is positive 1.

h = 1

x - h = x - 1

Replace x with x - 1.

G(x) = x^2 becomes F(x) = (x - 1)^4

Answer:

area of the figure=length×width

=6(X+6)

=6x+36 sq feet

answer is the second option

Answer:

B is the answer. This gives us the equation 6(x+6), where we multiply 6 by both values inside the equation. 6x + 36 is the answer. Happy learning!

Happy learning!

--Applepi101

Answer:

3,16,729

Step-by-step explanation:

2y + 5 = 3y + 2

=> 5 - 2 = 3y - 2y

= 3 = y

Answer:

y = 3

Step-by-step explanation:

2y + 5 = 3y + 2

2y - 3y + 5 = 3y - 3 y + 2                  [ subtract both sides by 3y ]

- y + 5 = 0 + 2                                  [ 3y - 3y = 0 ]

- y + 5 - 5 = 2 - 5                              [ subtract by 5 on  both sides ]

- y + 0 = - 3                                      [ -5 + 5 = 0 ]

  - y = - 3                      

     y = 3                                          [ divide by - 1 on both sides ]            

Answer:

21cm^2

Step-by-step explanation:

Area of Square-Area of semi circles (makes one full circle)

Squares Area = 100

LxW or (10x10)=100

Circle Area = 25/pi

/pi (radius)^2 or /pi(5)^2 = 25/pi

100cm^2-25cm^2 = 21.4601…cm^2 rounded to 21.5 cm^2

The area of the shaded region is 21.5 cm²

'In geometry, a semicircle is a plane figure that is formed by dividing a circle into exactly two parts.'

According to the given problem,

Side length of the square = 10

Area of the square = ( 10 × 10 )

                               = 100 cm²

Now, for the semi-circle,

Diameter = 10 cm

Radius = [tex](\frac{10}{2}[/tex][tex])[/tex] cm

            = 5 cm

Area of the semicircle =  [tex]\frac{\pi r^{2} }{2}[/tex]

                                     = [tex]\frac{\pi * 5^{2} }{2}[/tex]

Since, there are two semicircles in the square, we multiply the area with 2,

⇒ [tex]\frac{\pi *5^{2} }{2}*2[/tex]

= 25[tex]\pi[/tex]

Area of the shaded region = ( 100 - 25π )

                                            = ( 100 - 78.53 )

                                            = 21.46

                                            ≈ 21.5 cm²

Hence, we can conclude, the area of the shaded region is 21.5 cm².

Learn more about semi-circles here: https://brainly.com/question/14429410

#SPJ2

Answer:

4,8,12 hope that helps heeeeheheʘ‿ʘ

Answer:

C.

Step-by-step explanation:

First you solve the bracket...

(22+50)= 72

72×2=144

Answer:

the answer is D because it has to greatest factor

A (5(8+20)=40+100

B (4(40+96)=160+384

C (2(22+50)=44+100

D (4(11+25)=44+100

Answer:

51

Step-by-step explanation:

51 is elaginlent to 44 and 33 12 garde things

Answer:

7th graders in the school

Step-by-step explanation:

if she wants to know what 7th graders like, ask 7th graders since no one els would know as good as 7th graders themselves

Answer:

A.7th graders in the school

Step-by-step explanation:

Because she specifically wants to find the favorite activity of 7th grade students she should sample only 7th grade students to get the best and most accurate results.

Answer:

15.73 %

Step-by-step explanation:

Given :-

For finding% :-

→ 14/89 * 100

→ 15.73 %

Answer:

15.73% to the nearest hundredth.

Step-by-step explanation:

14/89 = 0.157303

Now multiply  by 100

This gives 15.7303 %

Answer:

2,197.8

Step-by-step explanation:

Answer:

C, y=2x(x-4)

Step-by-step explanation:

All the other equations can be graphed as lines, but C is the only one that is a parabola (a curve).

Answer:

why was it ‍♂️

All of his grades were down below c level

hehe

=)

Answer:

5$

Step-by-step explanation:

Given:

The volume of a cube = [tex](2+3p)^3\ \text{cm}^3[/tex]

To find:

The total surface area of the cube in terms of p.

Solution:

Volume of a cube is:

[tex]V=a^3[/tex]            ...(i)

Where, a is the side length.

It is given that,

[tex]V=(2+3p)^3\ \text{cm}^3[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]a=2+3p\text{ cm}[/tex]

Now, the total surface area of a cube is:

[tex]A=6a^2[/tex]

Where, a is the side length.

Putting [tex]a=2+3p[/tex], we get

[tex]A=6(2+3p)^2[/tex]

Therefore, the total surface area of the cube in terms of p is [tex]6(2+3p)^2\ \text{cm}^2[/tex].

Answer:

The value of x is 15 inch.

Step-by-step explanation:

Area, A = 81 square inch

Perimeter, P = 48 inch

let the side is y.

[tex]y^2 = 81\\\\y = 9 inch[/tex]

Let the other side is d.

P = 4 d = 48

d = 12 inch

the length x is given by

[tex]x^2 = 9^2 + 12^2\\\\x^2 =81 + 144 = 225\\\\x = 15 inch[/tex]

So, x = 15 inch.

Answer:

Hello! answer: 268 square meters

Step-by-step explanation:

To find the total surface area you find the area of each face then add them up so...

10 × 3 = 30

10 × 3 = 30

8 × 3 = 24

8 × 3 = 24

10 × 8 = 80

10 × 8 = 80

Now that I found the area for each face I will just add them up so...

30 + 30 + 24 + 24 + 80 + 80 = 268 therefore the area is 268 square meters Hope that helps!

[tex] \large\mathrm {\boxed{ \boxed{268 \: \: m {}^{2} }}}[/tex]

The above pieces will form a cuboid, having dimensions :

[tex] \mathrm{\longrightarrow length = 10 \: m}[/tex]

[tex] \mathrm{\longrightarrow width = 8 \: m}[/tex]

[tex] \mathrm{\longrightarrow height = 3 \: m}[/tex]

We know that Surface area of Cuboid is :

[tex] \large \longmapsto \mathrm{{2(lw + wh + lh)}}[/tex]

Let's solve,

[tex]\longrightarrow2[(10 \times 8) + (8 \times 3) + (10 \times 3)][/tex]

[tex]\longrightarrow2[80 + 24 + 30][/tex]

[tex]\longrightarrow2 \times 134[/tex]

[tex]\longrightarrow268 \: m {}^{2} [/tex]

[tex] \circ { \underline{ \boxed{ \sf{ \color{green}{ \mathfrak{hope \: \: it \: \: helps \: \: you.....}}}}}}∘[/tex]

Answer:

The k value is [tex]k = 0.0015[/tex]

Step-by-step explanation:

Population:

The population P(in thousands), of the city, in t years after 2000, is given by the following equation:

[tex]P(t) = 160.4e^{kt}[/tex]

In 2007, the population of the city was about 162,075.

This means that [tex]P(7) = 162.075[/tex], that is, when [tex]t = 7, P(t) = 162.075[/tex]

Find the k value

[tex]P(t) = 160.4e^{kt}[/tex]

[tex]162.075 = 160.4e^{7k}[/tex]

[tex]e^{7k} = \frac{162.075}{160.4}[/tex]

[tex]\ln{e^{7k}} = \ln{\frac{162.075}{160.4}}[/tex]

[tex]7k = \ln{\frac{162.075}{160.4}}[/tex]

[tex]k = \frac{\ln{\frac{162.075}{160.4}}}{7}[/tex]

[tex]k = 0.0015[/tex]

The k value is [tex]k = 0.0015[/tex]

Answer:

x = 33

Step-by-step explanation:

(x + 13) + (4x + 2) = 180

x + 13 + 4x + 2 = 180

5x + 15 = 180

5x = 180 - 15

5x = 165

x = 165/5

x = 33

Check:

(x + 13) + (4x + 2) = 180

(33 + 13) + 4(33) + 2 = 180

46 + 132 + 2 = 180

46 + 134 = 180

Answer:

y=5x-9

Step-by-step explanation:

-5(-3)+b=6

15+b=6

B=-9