Jose originally had a rectangular rug with an area of 4.c? + 72 +3 square feet. He
decided to make a new rug that was smaller than his original rug. The area of the new rug
is 4x2
square feet
Which of the following expressions represents the difference between the area of his old
rug and the area of his new rug?

Answer:

9.5

Step-by-step explanation:

9.5x9.5= 90.25 which is the closest you can get without going into further decimals

14 + 28 + 42 + 56 + … 280

= 14 (1 + 2 + 3 + 4 + … + 20)

= 14 × 20 × 21 / 2

= 2940

where we use the well-known identity,

[tex]\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2[/tex]

Answer:

39000

1 gram=1000milligrams

hence,

39 grams=39×1000milligrams

=39000milligrams

Answer:

The first number in each ordered pair tells how far across the X line is to move. The second number in each ordered pair tells how far up or down the Y line is to move. The point where the X and Y lines cross is marked “0” on the graph. It is called the “origin,” and is the starting point for plotting points.

Answer:

25

Step-by-step explanation:

The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.

Answer:

C. x is all real numbers.

Step-by-step explanation:

Since the domain is likely infinite, then the domain must be all real numbers so x is all real numbers.

Answer:

Exponential notation is a powerful way to express repeated

multiplication of the same number. Specifically, powers of 10

express very large and very small numbers in a manner which is

convenient to read, write and compare.

• For any non-zero integer a, a–m 1

m a

=

• Laws of exponents are

(a) am × an = am+n

(b) am ÷ an = am–n

(c) (am)

n = amn

(d) am × bm = (ab)

m

(e) a° = 1, where a ≠ 0

(f)

m m

m

a a

b b

  =   

• Numbers can be expressed in expanded form by using exponents.

• Very large and very small numbers can be expressed in standard

form.

• Standard form is also called scientific notation form.

Step-by-step explanation:

Example 1 : Multiplicative inverse of 27 is

(a) 2–7 (b) 72 (c) – 27 (d) – 27

Solution : The Correct answer is (a).

Example 2 : The human body has about 100 billion cells. This number

can be written in exponential form as

(a) 10–11 (b) 1011 (c) 109 (d) 10–9

Solution : The correct answer is (b).

In examples 3 to 5, fill in the blanks to make the statements true.

Example 3 :

4

4 5 (– 4) ______ 4

  × =    

Solution : 54

Example 4 : ( ) ( ) 2 3 –3 –2 2 3 _____ × =

Solution : 6–6

Example 5 : The distance between earth and sun is 150 million

kilometres which can be written in exponential form as

_______.

Solution : 1.5 × 108 km

In examples 6 and 7, state whether the statements are true (T) or false (F):

Example 6 : Very small numbers can be expressed in standard form

using positive exponents.

Solution : False.

Example 7 : (–10) × (–10) × (–10) × (–10) = 10–4

Solution : False.

Step-by-step explanation:

(0,0)

Step-by-step I took the test

Answer:

208

Step-by-step explanation:

First term = a = 4

Common difference = d = a2 - a1 = 9 - 3 = 6

35th term = a + (35 - 1)d

4 + (35 - 1)6

4 + (34)6

4 + 204

208

Answer:

207

Step-by-step explanation:

An=A1+(n-1)×R

A35=3+(35-1)×(9-3)

A35=3+34×6

A35=3+204

A35=207

Answer:

418

Step-by-step explanation:

please make me brainlist

Answer:

1= 1 7/8 or 1.875

2= 235.75

3= 10 1/2 or 10.5

4=191.53

5=1 5/12 or 1.4166667

6=239.13

hope this helps

Answer:

1.

[tex] \frac{9}{4} [/tex]

2. 235.75

3.

[tex] \frac{21}{2} [/tex]

4. 191.53

5.

[tex] \frac{17}{12} [/tex]

6. 239.13

Step-by-step explanation:

1.

[tex]3 \times \frac{3}{8} - 1 \times \frac{1}{2} = 2 \times \frac{1}{4} or \: \frac{9}{4} [/tex]

2. 168.45 + 67.3 = 235.75

3.

[tex]6 \times \frac{3}{5} + 3 \times \frac{9}{10} = \frac{21}{2} [/tex]

4. 249.6 - 58.07 = 191.53

5.

[tex] \frac{5}{6} + \frac{7}{12} = \frac{17}{12} [/tex]

6. 334.16 - 95.03 = 239.13

Answer:

Step-by-step explanation:

a²+b²-c²+2ab

=a²+b²+2ab-c²

=(a+b)²-c²

=(a+b+c)(a+b-c)

Answer:

1

Step-by-step explanation:

so when you divide 5/8 you get 0.625 and rounding it of to the nearest whole number it will be 1.

hope this helps

Answer:

1

Step-by-step explanation:

(8/8) = 1                                 (4/8) = half                       (0/8) = 0

                                   (5/8) = a bit more than half, so is closer to 1

5/8≈1

Answer:

Answer: 3^-2

Step-by-step explanation:

[tex]( \frac{1}{3} ) {}^{2} \\ \\ = \frac{ {1}^{2} }{ {3}^{2} } \\ \\ = {3}^{ - 2} [/tex]

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Evaluate the power

[tex]\frac{1^2}{3^2}[/tex]

Divide

[tex]\frac{1}{9}[/tex]

Answer:

154 2/3 m²

Step-by-step explanation:

14 1/2 x 10 2/3

First, make the mixed numbers into improper fractions:

29/2 x 32/3

Simlify by cross cancelling if you can:

29/1 x 16/3

Then, multiply:

29/1 x 16/3 = 29 x 16/1 x 3 = 464/3

Finally, turn the new improper fraction into a simplified mixed number:

464/3 = 154 2/3

The area is 154 2/3 m²

Answer:

The dad is 36 and the son is 12

Answer:

32.5cm

Step-by-step explanation:

Using the formula A=h_b*b/2

We get 5*13/2=32.5

we have,

14x+8+6x+12=180 {interior angle}

or, 20x+20= 180

or, 20x= 180- 20

or, x= 160/20

:. x= 8

Now,

14x+8= 14.8+8

= 112+8 =120

6x+12= 6.8+12

= 48+12 = 60

Answer:

25h = x

Step-by-step explanation:

If x is the variable for how many pages she reads in total, 25 multiplied by h (the number of hours) will give you the total pages read!

Answer:#1 is D

Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141

Answer: D

Step-by-step explanation:

v = 1/3bh

3v/b = h

Step-by-step explanation:

Distance = √(x_2 - x_1)² + (y_2 - y_1)²

Distance = √[(-a) - a]² + (b - b)²

Distance = √[-2a]² + (0)²

Distance = √4a²

Distance = 2a

here is your answer,

hope it helps you.

Answer:

yea I cant really do this over a screen

Answer:

16) photo

Step-by-step explanation:

- parallel lines never meet (a, b, c have no points in common)

- perpendicular lines meet other lines at one point, forming two angles of 90 °

To find the distance between those two points you would need to

do, -6 - (8), which is -14, and than take away the minus sign, and the length of AB is 14 units.

Answer:

14 = AB

Step-by-step explanation:

When finding length, absolute value is the way to go! So if A is -6 and b is 8, then we need to find the distance between them. You can physically count on a number line like I see you did, which would be -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8=14 numbers

or you can set up the expression---

| -6-8 |

which equals

| -14 |

or

14

because 14 is the same as | -14 |

Answer:

A is the answer

rrrrrrrr

Answer:

104 = -13 x -8

Step-by-step explanation:

The reason you got it wrong is, I'm assuming, because of the way you formatted it. Try this and see if it works.