Cynthia says that when you evaluate the expression (21 3/4 + 4 1/2) - 5 3/12 you get a whole number. What whole number do you get?

Answer:

Yes it does

Step-by-step explanation:

we would like to Prove the following for x=1:

[tex] \displaystyle {x}^{2} - x = 0[/tex]

since x=1 substitute:

[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]

to simplify it we can consider the order of PEMDAS which is a abbreviation of

since exponent come first

simplify exponent:

[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]

simplify substraction:

[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]

since left hand side equal to right hand side

hence, Proven

use a²-b²=(a+b)(a-b) to rewrite:

[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]

since x=1 substitute:

[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]

simplify square root:

[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]

simplify parentheses:

[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]

Multiplying any number by 0 results 0 thus

[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]

since left hand side equal to right hand side

hence, Proven

Given,

x = 1

We need to find if x² - x = 0 is true or false.

If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)

So,

=》x² - x = 0

By substituting ...

=》1² - 1 = 0

Now calculate...

=》1 - 1 = 0

=》0 = 0

•°• The given statement is true.

_____

RainbowSalt2222 ☔

Answer:

48 squared inches

Step-by-step explanation:

4x2x6 altogether is 48

Answer:

48 square in.

Step-by-step explanation:

2 × 6 = 12

12 × 4 = 48

so ur answer is 48 square inches

Answer:

i Believe is is line b

Step-by-step explanation:

when you put all the lines on the graph they are all near line b

Answer:

Y= -72

Step-by-step explanation:

I dont know if that was the answer needed

Answer:

B. <1

E. <3

Step-by-step explanation:

Remote interior angles are interior angles inside a triangle that are opposite to an exterior angle of the triangle.

<6 is an exterior angle. The remote interior angles that are opposite to <6 are <1 and <3.

Therefore, <1 and <3 are remote Interior angles of <6

They are away from <6.

The remote interior angles of ∠6 are ∠1 and ∠3

Remote interior angles are those angles that don't share a vertex or corner of a triangle with the exterior angle.

The remote interior angles are usually opposite of the exterior angles.

The remote interior angles of ∠6 are those angles interior angles that does not share a vertex with the ∠6(exterior angle).

Therefore, the remote interior angles of ∠6 are ∠1 and ∠3

learn more on remote interior angles:https://brainly.com/question/1585690

Answer:

Step-by-step explanation:

Answer:

Isosceles

Step-by-step explanation:

Because an equilateral triangle is also isosceles, all triangles are either scalene or isosceles. But when people call a triangle isosceles, they're usually referring to a triangle with only two equal sides, because if the triangle had three equal sides, they'd call it equilateral.

Answer: It's 11683.9

Step-by-step explanation:

The area of the shaded region is  73.4 cm².

What is Area ?

An object's area is the space that its boundary encloses. A closed figure's area is determined by how many unit squares are present on its surface.

Given : Radius of circle = 5 cm

The area of circle = πr²

                             = 25π = 78.57 cm²

Now, the area of segment can be found by using the formula :

                 = 1/2 × r² × [ πФ/180 - sinФ]

So, area of segment = 1/2 × 25 × [ π×80/180 - Sin 80 ]

                                  = 25/2 × [4π/9 - 0.9848 ]

                                  = 25/2 × [1.3968 - 0.9848]

                                  = 5.15 cm² approx.

So, Th area of shaded region = area of circle - area of segment

                                                  = 78.57 - 5.15

                                                 = 73.4 cm²

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Trust me these are the correct answers :)

Answer:

Part A: -100x2 + 15,750x − 31,100 ≥0

Part B: 2x2-315x+622 ≤0

Part C: (2x-311)(x-2) ≤0

Part D:2 ≤ x ≤ 155.5

Part E: We know x = number of $2 increases. So, from the compound inequality, 2 ≤ x ≤ 155.5, we can conclude that the minimum possible value of x is 2.

Part F: 29

Answer:

98 sq. in.

Step-by-step explanation:

Area of Triangle formula : 1/2 x Base x Height

1/2 x 14 x 14 =98

Answer:

y < 4

Step-by-step explanation:

2(5y-2) < 36

Divide both sides by 2.

5y-2 < 18

Add 2 to both sides.

5y < 20

Divide both sides by 5 to isolate y.

y < 4

Answer:

c:65

Step-by-step explanation:

The area of a triangle can be found almost the same way as a sqaure L*W (Length times width). Except the area of a triangle is one half that of a square, so it is [tex]\frac{1}{2}[/tex]L*W. The length is 13 and the width is 10, so 13*10=130, than 1/2 that is 65.

Answer:

A  16°

B  -8°

C  6°

D  -16°

E  -4°

Step-by-step explanation:

Look at 0° and 10°. There are 5 lines from one to the other, so each line represents 2°.

A

3 lines above 10° = 10° + 3 * 2° = 10° + 6° = 16°

B

1 lines above -10° = -10° + 2° = -8°

C

3 lines above 0° = 0° + 3 * 2° = 0° + 6° = 6°

D

2 lines above -20° = -20° + 2 * 2° = -20° + 4° = -16°

E

3 lines above -10° = -10° + 3 * 2° = -10° + 6° = -4°

Answer:

4sqrt(15)

Step-by-step explanation:

a² + b² = c²

x² + 7² = 17²

x² + 49 = 289

x² = 240

[tex]\sqrt{x^2} =\sqrt{240}[/tex]

[tex]x=4\sqrt{15}[/tex]

Answer:

Step-by-step explanation:

The shaded region is triangle.

Base = 1.1 in

Height = 3.8 in

Area of triangle = [tex]\frac{1}{2}*base * height[/tex]

                          [tex]=\frac{1}{2}*1.1*3.8\\\\= 1.1 * 1.9\\\\= 2.09 in^{2}[/tex]

Area of shaded region = 2 * 2.09 = 4.18 square inches

Answer:

Here...

Step-by-step explanation:

x  |  y

3  | 0

3  | 1

The picture is the graph ( I'm not sure why I wrote that you probably already knew... but, I'm not sure if this helps but here.. :D )

9514 1404 393

Answer:

Step-by-step explanation:

A graphing calculator answers these questions easily.

The ball achieves a maximum height of 40 ft, 1 second after it is thrown.

__

The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.

  h(t) = -16(t^2 -2t) +24

  h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square

  h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form

Compare this to the vertex form:

  f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'

We see the vertex of our height equation is ...

  (h, k) = (1, 40)

The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.

He is expected to win about 30 times. 1/4 times 120

Answer:

11 years.

Step-by-step explanation:

Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:

16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600

Y = 11

16,000 x 1.4666 ^ 132 = X

29,581.70 = X

Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.

Answer: all of dem except for 6

Step-by-step explanation:

The minimum height the square containers should have is 8 inches.

The first step is to determine the volume of the cylindrical oatmeal canister.

Volume = 1/3πr²h

Where:

π = 3.14

r = radius 4/2 = 2

3.14 x 2² x 10 = 125.6

Now, determine the minimum height of the square box.

Height = volume of the cannister / (area of the base)

125.6 / (4 x 4) = 7.85 = 8 inches

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

Answer:

the smallest value of the sum is 7.65 cm.

Step-by-step explanation:

Given;

3.4 cm + 4.3 cm = 7.7 cm

To obtain the least value of the given result, we will apply the rounding-off method;

In the rounding-off method, digits between 0 to 4 will be rounded down to zero while digits between 5 and 9 will be rounded up to 1.

The smallest value of 7.7 cm = 7.65 cm (5 will be rounded up to 1 making 7.65 cm approximately 7.7 cm)

Also, other possible values of 7.7 cm include;

7.66 cm, 7.67 cm, 7.68 cm, 7.69 cm

Note :7.64 cm cannot be rounded up to 7.7 cm because 4 will be rounded down to zero making 7.64 cm approximately 7.6 cm.

Therefore, the smallest value of the sum is 7.65 cm.

Answer:

x = 4.5 is the answer to the question

Answer:

Step-by-step explanation:

x is the number of GB

f(x) is the cost in dollars

f(x) = 10x

Bill for 6 GB = f(6) = 60

:::::

f(x) = 8x+15

Bill for 8 GB = f(10) = 95

:::::

f(x) = 5x+30

Bill for 2 GB = f(2) = 40

Answer:

4x-3

Step-by-step explanation:

Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.

Two lines are said to be parallel if they always maintain the same distance apart. If two lines are drawn so that they could extend into infinity without ever meeting each other, these lines are called parallel. Parallel lines are also called Equidistant lines.

Given

Equation of line y = 4x + 1

Point = (1, 1)

Equation of the line that is parallel to y = 4x + 1 is y=kx + b

Here k =4

y = 4x + b and contains the point (1,1)

Substitute the point (1,1) in y= 4x + b

⇒ 1 = 4(1) + b

⇒ 1 - 4 = b

⇒ b = -3

y = 4x + b

⇒ y = 4x - 3

Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.

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