What is the best estimate for the value of the expression?
[34/8 - 16/3] -14/9
O -3
O -2 1/2
O 7
O 7 1/2

Answer:

  (7√3)/3

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between sides of a right triangle and angles.

  Tan = Opposite/Adjacent

That means ...

  tan(30°) = x/7

Multiplying by 7, we have ...

  x = 7·tan(30°)

  x = (7√3)/3

Answer:

x=-5

Step-by-step explanation:

Statement          Reason

3x+1 =-14              Given

3x=-15                   Subtraction Property of Equality

x=-5                       Division Property of Equality

A) 11.7

Step-by-step explanation:

sin 20/4=sin 87/c

sin 87×4=sin 20c

3.9945=0.3420c

c=3.9945/0.3420

c=11.7

As the compounding frequency increases, the yield increases as well. But there's a limit to that increase.

Consider depositing $100 into an account at 5% interest. Let's consider a timespan of 1 year. These values were picked arbitrarily.

Using the formula A = P(1+r/n)^(nt), we can find the various yield amounts when n varies

The table below shows how A changes based on the values of n. I've let P = 100, r = 0.05 and t = 1.

As n gets larger, the value of A slowly approaches 105.13 when you round to the nearest penny.

So eventually the investment yield hits a ceiling of some sort.  We cannot make the investment grow forever in some fixed amount of time (in this case 1 year).

Answer:

7

Step-by-step explanation:

5+2 is the difference between the two numbers

Answer:7

Step-by-step explanation:

hope its help thanks for seeing my answe bye

Answer:

Step-by-step explanation:

?

Answer:

Its 24

Step-by-step explanation:

Answer: b=-9

Step-by-step explanation:

To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]

Now that we know the slope, we can fill in what we know and solve for y-intercept.

y=3x+b

We can plug in any point to solve for y-intercept.

3=3(4)+b                [multiply]

3=12+b                   [subtract both sides by 12]

b=-9

Now, we know that the y-intercept is b=-9.

Answer:

Step-by-step explanation:

perfect squares=9,64,49

non perfect squares=24,88,6

Answer:

3/4 AND 4/5 are greater than 11/20

Step-by-step explanation:

multiply 3/4 by 5 and u get 15/20

milptiply 4/5 by 4 and u get 16/20

your finding the LCM and LCD

Answer: 1/3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

the answer of this question is 39,572

Step-by-step explanation:

i just took the assignment and it said the other number is wrong. the answer is 39,572 . your welcome :)

The maximum number of tickets to sell in one year if Each weekend, the theater can sell a total of 761 tickets for their performances, is 39572.

The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.

Given:

Each weekend, the theater can sell a total of 761 tickets for their performances,

The total number of weeks = 52,

Calculate the maximum number of tickets to sell in one year as shown below,

The maximum number of tickets to sell in one year = 52 × 761

The maximum number of tickets to sell in one year = 39572

Thus, the total number of tickets sold is 39572.

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ5

Answer:

1 * 10^12

Step-by-step explanation:

Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.

Same thing can be applied for 1,000,000 (one million).

1 * 10^6 because one million has 6 zeros appended to it.

Answer:

56

Step-by-step explanation

Answer:

Step 1: Find the prime factorization of the number inside the radical.

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

Step-by-step explanation:

Answer:

.857

Step-by-step explanation:

6/7 = about .8571

rounded to thousandth is .857

Answer:

The answer is y = -15x + 35.

Step-by-step explanation:

We want to isolate y, so we cancel everything on that side of the equals except y. We begin with the term farthest away from y, which would be 3x. Since it is positive, to cancel it we will subtract. This will give us 1/5y = 7-3x.

Next we want to cancel the 1/5. Since it is directly beside y, this means it has been multiplied; to cancel, we will divide. Divide both sides by 1/5, and we have y = (7-3x)÷(1/5). When we divide fractions, we flip the second one and multiply; this means we have y=(7-3x)*5.

Using the distributive property, we have y=7*5-3x*5, which gives us y=35-15x. We can write this as y=-15x+35.

Answer:

y = 35 - 15x

Step-by-step explanation:

Given

3x + [tex]\frac{1}{5}[/tex] y = 7 ( subtract 3x from both sides )

[tex]\frac{1}{5}[/tex] y = 7 - 3x ( multiply both sides by 5 to clear the fraction )

y = 5(7 - 3x) , that is

y = 35 - 15x

Answer:

(-10, 5)

Step-by-step explanation:

(10, -20), (-30, 20), (35, -20) ⇒ these points are not on the line, so they don't form a proportional relationship with the graph.

(-10, 5) ⇒ this point is on the line, so it forms a proportional relationship with the graph.

Please tell me if I'm wrong. I might be wrong, but I'm trying my best to help..

Since K is the midpoint of JL and we know that JK and KL are separate segments of JL, JK and KL are equal to each other.

6x + 11 = 16x + 1

Subtract 6x and 1 from both sides

10 = 10x

Divide both sides by 10

1 = x

We also know that:

JL = JK + KL = 6(1) + 11 + 16(1) + 1 = 6 + 11 + 16 + 1 = 34

Answer:

4

Step-by-step explanation:

log(50×50)×log(2×2)

log (2500)×log(4)

log(2500×4)

log(10000)

log(10^4)

=4

x = > R

y = > [ 0 , infinity )

Domain :

f ( x ) = | x + 6 |

Clearly we can put any value for f ( x )

x = > R

Range :

Using input restriction:

For min of x = - 6

y belongs to [ 0 , infinity )

Hence we get answer.

Answer:

[tex]\boxed {\tt A= 14 \ ft^2}[/tex]

Step-by-step explanation:

The area of a triangle can be found using the following formula.

[tex]A=\frac{1}{2} bh[/tex]

where [tex]b[/tex] is the base and [tex]h[/tex] is the height.

In this triangle, the base is 7 feet and the height is 4 feet.

[tex]b= 7 \ ft\\h= 4 \ ft[/tex]

Substitute the values into the formula.

[tex]A=\frac{1}{2} bh[/tex]

[tex]A=\frac{1}{2} (7\ ft)(4 ft)[/tex]

Multiply 7 ft and 4 ft.

[tex]A=\frac{1}{2} (28 \ ft^2)[/tex]

Multiply 28 square feet by 1/2 or divide 28 square feet by 2.

[tex]A= 14 \ ft^2[/tex]

The area of the triangle is 14 square feet.

Answer:

12

Step-by-step explanation:

If you are asking what 2/3 times 15 is its 10

Answer:

5

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2[32-3^3]

2[32-27]

2×5

10

Answer:

Step-by-step explanation:

1 (=1×1×1)

8 (=2×2×2)

27 (=3×3×3)

64 (=4×4×4)

Answer:

Her door should be 3cm on scale

The actual dimension of the kitchen table is

[tex]Length = 1.6m[/tex]

[tex]Width = 1m[/tex]

Step-by-step explanation:

Given

[tex]Scale= 1 : 40[/tex]

[tex]Kitchen\ Dimension= 6m\ by\ 2m[/tex]

[tex]Door\ Width = 1.2m[/tex]

Solving (a): The width of the door on the scale

Represent the scale width with x

So, we have:

[tex]1 : 40[/tex]

and

[tex]x : 1.2[/tex]

Equate both ratios

[tex]1 : 40 = x : 1.2[/tex]

Represent as fraction

[tex]\frac{1}{40} = \frac{x}{1.2}[/tex]

Solve for x

[tex]x = \frac{1.2}{40}[/tex]

[tex]x = 0.03m[/tex]

[tex]x = 3cm[/tex]

Hence, her door should be 3cm on scale

Solving (b): Actual Dimension of the kitchen table

To solve this, we simply multiply the scale dimensions by 40

[tex]Length = 4cm * 40[/tex]

[tex]Length = 160cm[/tex]

[tex]Length = 1.6m[/tex]

[tex]Width = 2.5cm * 40[/tex]

[tex]Width = 100cm[/tex]

[tex]Width = 1m[/tex]

Hence:

The actual dimension is

[tex]Length = 1.6m[/tex]

[tex]Width = 1m[/tex]