What is the simplest form of this expression?
4(y + 2) - 2

Answer:

The first fraction at the right of 1 is [tex]\frac{7}{6}[/tex] or [tex]1\frac{1}{6}[/tex]

Step-by-step explanation:

Given

Marks of 6ths on a number line

Fraction 5/6 just before 1

Required

What fraction is at the right 1

To get the first fraction at the right of 1, we need to get the difference between each fraction;

This is calculated as follows;

[tex]Difference = 1 - \frac{5}{6}[/tex]

Take LCM

[tex]Difference = \frac{6 - 5}{6}[/tex]

[tex]Difference = \frac{1}{6}[/tex]

This implies that the difference between each mark is [tex]\frac{1}{6}[/tex].

To get the first mark at the right of 1;

We simply add the difference to 1;

This implies that;

[tex]Mark = 1 + \frac{1}{6}[/tex]

Take LCM

[tex]Mark = \frac{6 + 1}{6}[/tex]

[tex]Mark = \frac{7}{6}[/tex]

Convert to mixed fraction

[tex]Mark = 1\frac{1}{6}[/tex]

Hence, the first fraction at the right of 1 is [tex]\frac{7}{6}[/tex] or [tex]1\frac{1}{6}[/tex]

Answer: 41

Step-by-step explanation:

a^2 + b^2 = c^2

40^2 + 9^2 = c^2

c = √1681 = 41

Answer:

D: 41

Step-by-step explanation:

Using Pythagorean Theorem

c² = a² + b²

Where c is hypotenuse, x

a is the base, 9

b is the perpendicular, 40

Putting in the formula

x² = (40)²+(9)²

x² = 1600 + 81

x² = 1681

Taking square root on both sides

x = 41

Answer:

9

Step-by-step explanation:

x^2 + 6x + c

Take the coefficient of x

6

Divide by 2

6/2 = 3

Square it

3^2 = 9

That is the value of c required

Answer:

C. 9

Step-by-step explanation:

c = 9

x² + 6x + 9

= (x+3)(x+3)

= (x + 3)²

it is a perfect square trinomial when c is equal to 9

Answer:

-3 =n

Step-by-step explanation:

11(n – 1) + 35 = 3n

Distribute

11n -11 +35 = 3n

Combine like terms

11n +24 = 3n

Subtract 11n from each side

11n +24 -11n = 3n -11n

24 = -8n

Divide each side by -8

24/-8 = -8n/-8

-3 =n

Answer: n=-3

Step-by-step explanation:

11n-11+35=3n

24=-8n

n=-3

Answer:

range 11

Step-by-step explanation:

The range is the largest number minus the smallest number

The largest number is 12 and the smallest number is 1

12 - 1 = 11

Answer:

7

Step-by-step explanation:

I think because at if you divide 45 by 6 because its 45 minutes from 4:15 to 5:00 and it grows 6 inches longer every five min

Answer:

618

Step-by-step explanation:

l x w

34x5

14x27

5x14

618

Answer:

y=2.4

Step-by-step explanation:

7y-2=2y+10

7y-2y=10+2

5y=12

y=12/5=2.4

Answer:

A and F

Step-by-step explanation:

First we'll dilate it by a scale factor of 2. After that, we'll translate in 6 units left and 6 units up to map circle J onto circle K

Answer:

what are the answers fir this question

Answer:

Answer options are:

a. All integers are natural numbers.

b. All rational numbers are integers.

c. All natural numbers are whole numbers.

d. All rational numbers are natural numbers.

Step-by-step explanation:

Answer is C

Answer:

1130

Step-by-step explanation:

since radius of the circle was given and the formula of the area is pie r square

Answer:

Step-by-step explanation:

_______________________________

Hey!!

Solution,

X+61+42=180[ sum of angle in triangle]

or,X+103=180

or,X=180-103

X=77°

So the value of X is 77°

Hope it helps..

Good luck on your assignment

____________________________

Answer:

(0,2)

Step-by-step explanation:

2:4 means one part is 2/(2+4)=1/3 of AB and the other part is 2/3 of AB

Add 1/3 of the distance from -2 to 4. (1/3)(4+2)=2. -2+2=0 The x coordinate is 0

Subtract 1/3 of the distance from 6 to -6, (1/3)6+6)=4 6-4=2 The y coordinate is 2

The point is (0,2)

Answer:

C

Step-by-step explanation:

It's of the shape of a cone

Answer:

[tex]C(t) =\dfrac{ r}{k} - \left (\dfrac{r-kC_{0}}{k} \right )e^{ -kt}[/tex]

[tex]C(t) =\dfrac{ r}{k}- e^{ -kt}[/tex]   we can conclude that the  function is an increasing function.

Step-by-step explanation:

Given that:

[tex]\dfrac{dC}{dt}= r-kC[/tex]

[tex]\dfrac{dC}{r-kC}= dt[/tex]

By taking integration on both sides ;

[tex]\int\limits\dfrac{dC}{r-kC}= \int\limits \ dt[/tex]

[tex]- \dfrac{1}{k}In (r-kC)= t +D[/tex]

[tex]In(r-kC) = -kt - kD \\ \\ r- kC = e^{-kt - kD} \\ \\ r- kC = e^{-kt} e^{ - kD} \\ \\r- kC = Ae^{-kt} \\ \\ kC = r - Ae^{-kt} \\ \\ C = \dfrac{r}{k} - \dfrac{A}{k}e ^{-kt} \\ \\[/tex]

[tex]C(t) =\frac{ r}{k} - \frac{A}{k}e^{ -kt}[/tex]

where;

A is an integration constant

In order to determine A, we have C(0) = C0

[tex]C(0) =\frac{ r}{k} - \frac{A}{k}e^{0}[/tex]

[tex]C_0 =\frac{r}{k}- \frac{A}{k}[/tex]

[tex]C_{0} =\frac{ r-A}{k}[/tex]

[tex]kC_{0} =r-A[/tex]

[tex]A =r-kC_{0}[/tex]

Thus:

[tex]C(t) =\dfrac{ r}{k} - \left (\dfrac{r-kC_{0}}{k} \right )e^{ -kt}[/tex]

b ) Assuming that C0 < r/k, find lim t→[infinity] C(t) and interpret your answer

[tex]C_{0} < \lim_{t \to \infty }C(t)[/tex]

[tex]C_0 < \dfrac{r}{k}[/tex]

[tex]kC_0 <r[/tex]

The equation for C(t) can therefore be re-written as :

[tex]C(t) =\dfrac{ r}{k} - \left (\dfrac{r-kC_{0}}{k} \right )e^{ -kt}[/tex]

[tex]C(t) =\dfrac{ r}{k} - \left (+ve \right )e^{ -kt} \\ \\C(t) =\dfrac{ r}{k}- e^{ -kt}[/tex]

Thus; we can conclude that the above function is an increasing function.

Answer:

Step-by-step explanation:

Given: DE║BC

To prove: [tex]\frac{\text{AD}}{\text{DB}}=\frac{\text{AE}}{\text{EC}}[/tex]

                Statements                           Reasons

1). DE║BC                                   1). Given

2). ∠1 ≅ ∠4, ∠3 ≅ ∠4                2). Corresponding angles theorem

3). ΔADE ~ ΔABC                      3). AA Similarity theorem

4). [tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}[/tex]                                4). Corresponding sides are proportional

5). [tex]\frac{\text{AD+DB}}{\text{AD}}=\frac{\text{AE+EC}}{AE}[/tex]                   5). Segment addition postulate

6). [tex]1+\frac{\text{DB}}{\text{AD}}=1+\frac{\text{EC}}{\text{AE}}[/tex]                   6). [tex]\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}[/tex]

7). [tex]\frac{\text{DB}}{\text{AD}}=\frac{\text{EC}}{\text{AE}}[/tex]                                7). Subtract 1 from both sides

8). [tex]\frac{\text{AD}}{\text{DB}}=\frac{\text{AE}}{\text{EC}}[/tex]                               8). Take the reciprocal of both sides

Answer:

  the sum of the prices divided by 7

Step-by-step explanation:

The mean is the sum of the elements of a set, divided by the number of elements in the set. This set has 7 members, so its mean is ...

  the sum of the prices divided by 7

Answer:

A. (I) v = 46.42 m/s; (ii) v = 47.35 m/s; (III) v = 48.09 m/s; (iv) v = 48.26 m/s; (v) v = 58.28 m/s

B. v = 48.28 m/s

Note: the question is missing some values. The full Question is provided below:

If an arrow is shot upward on Mars with a speed of 52 m/s, its height in meters t seconds later is given by y = 52t − 1.86t2. (Round your answers to two decimal places.)

(a) Find the average speed over the given time intervals. (i) [1, 2] m/s (ii) [1, 1.5] m/s (iii) [1, 1.1] m/s (iv) [1, 1.01] m/s (v) [1, 1.001] m/s

(b) Estimate the speed when t = 1. m/s

Step-by-step explanation:

Height, y = 52t - 1.86t²

Velocity = ∆y/∆t = 52 - 1.86 * 2t = 52- 3.72t

A. Average velocity = (v1 + v2)/2

(i) At t = 1, 2

Average velocity = (52 - 3.72*1 + 52 -3.72*2)/2 = 46.42 m/s

(ii) At t = 1,1.5

Average velocity = (52 - 3.72*1 + 52 - 3.72*1.5)/2 = 47.35 m/s

(iii) At t = 1,1.1

Average velocity = (52 - 3.72*1 + 52 -3.72*1.1)/2 = 48.09m/s

(iv) At to = 1, 1.01

Average velocity = (52 - 3.72*1 + 52 - 3.72*1.01)/2 = 48.26 m/s

(iv) At t = (1, 1.001)s

Average velocity = (52 - 3.72*1 + 52 - 3.72*1.001)/2 = 48.28 m/s

B. Speed at t = 1s

Velocity = 52 - 3.72 * 1 = 48.28 m/s

Answer:

y=2x-4

Step-by-step explanation:

Answer:

56%

Step-by-step explanation:

Any number out of 100 is that number's percent.

If it's for say 0.1/100, its 0.1%.

Answer:

360 x 30% = answer

30% = 30/100 = 0.3

360 x 0.3 = 108

108 is the answer

Hope this helps

Step-by-step explanation:

Answer:

108 pages

Step-by-step explanation:

30% of 360=108

360*.30=108

Answer:

True

True

Step-by-step explanation:

The unknown parameters are treated as variable and data serve as coefficients. The random variables are value whose outcome depends on some random event. The θ can exist when n ≥ 0. A sample mean is a sequence which has normal distribution and n ≥ 1. The sample average of X-n follows normal distribution for all integer and n is greater or equal to 1.

The given statement is True

The unknown parameters should be considered variable and data represent the coefficients. The random variables refers to the value where  outcome based on some random event. The θ could exist at the time when n ≥ 0. A sample mean represent the sequence that contains normal distribution and n ≥ 1.

Learn more about distribution here: https://brainly.com/question/24520301

Answer:

Yes, [tex]\frac{3}{4}[/tex] is a solution of the inequality.

Step-by-step explanation:

Solution of an inequality is given by the values of the variable t ≥ [tex]\frac{2}{3}[/tex]

Or t ≥ 0.67

If a solution of this inequality is t = [tex]\frac{3}{4}[/tex]

Or t = 0.75

Since, on a number line 0.75 > 0.67

Therefore, [tex]\frac{3}{4}[/tex] will be a solution of the inequality.

Answer:

The answer is 0

Step-by-step explanation:

Answer:

2, -1/2

Step-by-step explanation:

2m²-3m-2=0

2m² - 4m + 1m - 2=0

2m(m-2)+(m-2)=0

(2m+1)(m-2)=0

2m+1=0 ⇒ m= -1/2

m-2=0 ⇒ m=2

Answer:

B.

Step-by-step explanation:

Using the formula

S = r∅

Where s is Arc length,l

R is radius

∅ is radian measure for angle RAD

Substituting

L = R∅

So

∅ = L/R

Answer:

6

Step-by-step explanation:

Let's call the number of pairs of socks he buys s.

[tex]12.50+2.50s=27.50[/tex]

Subtract 12.50 from both sides:

[tex]2.50s=15[/tex]

Divide both sides by 2.5 to isolate s:

[tex]s=6[/tex]

Hope this helps!

Answer:

x = 11

Step-by-step explanation:

You are solving for the solution of the variable given (x). Set each parenthesis equal to 0 and simplify:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 11 to both sides:

x - 11 = 0

x - 11 (+11) = 0 (+11)

x = 0 + 11

x = 11

Do the same for the other set:

x - 11 = 0

x - 11 (+11) = 0 (+11)

x = 0 + 11

x = 11

~

[tex]a^{2} {c}^{2} - {a}^{2} {d}^{2} - {b}^{2} {c}^{2} + {b}^{2} {d}^{2} + 4abc[/tex]