what is the reciprical of 4/7?

Answer:

D

Step-by-step explanation:

When something depreciates completely, it will have a total value of 0 dollars. Therefore, set the equation to zero and solve for t to find the years.

[tex]S(t)=-105t+945\\0=-105t+945\\-105t=-945\\t=9[/tex]

Therefore, the table saw will completely depreciate after 9 years.

Answer:

[tex]\large \boxed{\sf \bold{D.} \ 9 \ years}[/tex]

Step-by-step explanation:

[tex]S(t) = -105t + 945[/tex]

For the value to depreciate completely, the amount has to be equal to 0 dollars.

Set S(t) to 0.

[tex]0 = -105t + 945[/tex]

Solve for the time t.

Subtract 945 from both sides.

[tex]0 -945= -105t + 945-945[/tex]

[tex]-945=-105t[/tex]

Divide both sides by -105.

[tex]\displaystyle \frac{-945}{-105}=\frac{-105t}{-105}[/tex]

[tex]9=t[/tex]

It will take 9 years for the saw to depreciate completely.

Answer:

Step-by-step explanation:

Let the price of the item = Rs x

13% of x = 390

[tex]\frac{13}{100}*x=390\\\\\\x = 390*\frac{100}{13}\\\\\\[/tex]

x = Rs. 3000

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 2 + 1 = 3 parts , thus

81 cm² ÷ 3 = 27 cm² ← value of 1 part of the ratio

2 parts = 2 × 27 = 54 cm²

Area of A = 54 cm² and area of B = 27 cm²

The side of the original square = [tex]\sqrt{81}[/tex] = 9 cm

The width of both rectangles is 9 cm ( width remains unchanged after cut )

Thus

Rectangle A

9 × length = 54 ( divide both sides by 9 )

length = 6 cm

Rectangle B

9 × length = 27 ( divide both sides by 9 )

length = 3 cm

Rectangle A → length = 6 cm, width = 9 cm

Rectangle B → length = 3 cm , width = 9 cm

Answer:

Rectangle A                 Rectangle B

length = 9 cm                length = 9 cm

width = 6 cm                  width = 3 cm

Step-by-step explanation:

Area of square At = 81 cm²

Square is cut into two pieces = A + B

The ration of area A to B = 2:1

Find

Rect A        Rect B

length         length

width           width

---------------------------------

first, get the side of the square = A = s²

81 = s²,      

s = √81      

s = 9 cm

since the ratio is 2:1, therefore the side can be divided into 3

9 ÷ 3 = 3 cm ----- take note of this to get the Width

Rectangle A

L = 9 cm (which is the s = 9 cm)

W = 3 cm (2 ratio) = 6 cm

Rectangle B

L = 9 cm  (which is the s = 9 cm)

W = 3 cm (1 ratio) = 3 cm

Proof:

At = A + B

81 = (9x6) + (9x3)

81 = 54 + 27

81 = 81  ----- OK

By the polynomial remainder theorem the remainder is equal to [tex]f(a)[/tex]

Hey there! I'm happy to help!

First we multiply the the length of each length of rope by the number of lengths of rope (try saying that five times fast).

6 3/4×13=87 3/4

Now, we divide this by 20 to see how much rope each person gets.

87 3/4÷20= 4 31/80

Therefore, each person has 4 31/80 or 4.3875 meters of rope.

I hope that this helps! Have a wonderful day! :D

Answer:

Average = 2000

Step-by-step explanation:

Given numbers are:

1,000 2,300 2,600

To find:

First round off the numbers to nearest 1000 and then find Average.

Solution:

1000 is already in thousands so no need to round off.

To round off a number to nearest thousand, we need check the digit on hundred's place.

So, 2300 will be rounded off as 2000.

and 2600 will be rounded off as 3000.

Now, the numbers whose average is to be calculated are 1000, 2000, 3000.

Formula for average is given as:

[tex]Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}[/tex]

applying the formula:

[tex]Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}[/tex]

So, the average after rounding off to nearest 1000 is 2000.

Answer:

-1

Step-by-step explanation:

3/2 * (-22/33)

Simplify by dividing the second fraction by 11

3/2 * (-2/3)

Rewriting

3/3 * (-2/2)

-1/1

Answer:

-1

Step-by-step explanation:

(a/b)(c/d) = (a*c)(

(3/2)(-22/33)

(3*-22)/(2*33) = -66/66 = -1

Answer: Hi!

Row A: 7, 11, 15, 19, 23

Row B: 51, 42, 33, 24, 15

Row C: 4, 8, 16, 32, 64

Row D: 64, 32, 16, 8, 4

(If you notice, Row C and Row D are just swapped in order!)

Hope this helps!

Hi there! Hopefully this helps!

--------------------------------------------------------------------------------------------------------------

A's rule, add 4: 7, 11, 15, 19, 23

B's rule, Subtract 9: 51, 42, 33, 24, 15

C's rule, Multiply by 2: 4, 8, 16, 32, 64

D's rule, Divide by 2: 64, 32, 16, 8, 4

Answer:

[tex]y = \frac{-3}{4}x + 36[/tex]

Step-by-step explanation:

Data provided in the question

Height = 36 inches

Stant of the stairs followed that declines 9 inches for every 12 horizontal inches

Height = x

x =  from top of the stairs

based on the above information

Therefore the change in rate is

[tex]\frac{-9}{12} = \frac{-3}{4}[/tex]

It depicts the line sloping.

Now the function would be determined by the line equation which is as follows

y = mx+c

[tex]m = \frac{-3}{4}[/tex]

where,

c = 36 inches

So, the function is

[tex]y = \frac{-3}{4}x + 36[/tex]

Answer:

Answer is A

Step-by-step explanation:

Answer:

  D.  25

Step-by-step explanation:

The left end of the baseline has measure (x-16). In this geometry all of the right triangles are similar, so the short-to-long side ratios are proportional:

  (x -16)/12 = 12/16

  x -16 = 9 . . . . . . . multiply by 12

  x = 25 . . . . . . . . . add 16

The unknown length x is 25.

Answer:

25

Step-by-step explanation:

Answer:

6/6.71

Step-by-step explanation:

If you are given a 6-meter pole that is supported by guy wires that are anchored to the ground, you can create a relationship with respect to sin theta. sin theta is equal to the 6 meters over the slant line supported by the pole. as shown.  

Let f(x) = y

y = log3(x+1) - 1

Plug x in y and y in x

x = log3(y+1) - 1

x + 1 = log3(y+1)

3^(x+1) - 1 = y

[tex]y = 3^{x+1}[/tex] - 1

This is the inverse function.

Hope it helps! xxxx

Answer:

y = [tex]3^{(x+1)}[/tex] -1

Step-by-step explanation:

x = [tex]log_{3}[/tex](y + 1) - 1

x + 1 = log₃(y + 1)

[tex]3^{(x+1)}[/tex] = y + 1

[tex]3^{(x+1)}[/tex] -1 = y

Answer:

The answer is C.

Step-by-step explanation:

First, you want to isolate the variable you are look for, 'l'. First subtract [pi]L from both sides. Then subtract S from both sides.

-[pi]L+S=[pi]r(superscript)2 ->

-[pi]L=[pi]r(superscript)2-S

Now, since you have your variable 'l', you want to remove the [pi] away from your variable. To do this, multiply by negative 1 divided by pi, or -1/[pi].

L=S-r(superscript)2.

Therefore, the answer is C.

Answer:

C

Step-by-step explanation:

[tex]s = \pi .l \: + \pi. {r}^{2} [/tex]

Make the term including 'l' stand alone.

[tex]s - \pi. {r }^{2} = \pi.l[/tex]

Now make L stand alone by dividing through by pi.

[tex] \frac{s - \pi. {r}^{2} }{\pi} = l[/tex]

This is the same as

[tex] \frac{s}{\pi} - {r}^{2} = l[/tex]

Answer:

48

Step-by-step explanation:

52-4=48

hope this helps

Answer:

This event is independent this statement is true because we cannot control the motion of a dice.

Step-by-step explanation:

Hope it will help you :)

Answer:I'm pretty sure it's independent

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← x and y- intercepts

m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

There are infinitely many ways to answer this as there is no one single answer to pick from.

The four terms are x^3, 5x^2, 7x and 12. They are separated by the plus signs.

The constant is 12. It does not have any variable attached to it.

Terms 5x^2 and 7x have coefficients of 5 and 7 respectively.

The leading term x^3 has a coefficient of 1, but 1*x^3 = x^3, meaning it's convention to leave the 1 out. So technically x^3 does not have a coefficient directly written/shown. Instead, its more implied.

Answer:

(i) 120°

Step-by-step explanation:

(i)

sine 90 = 1

sine 120 = 0.87 (rounded up to two decimal places)

sine 150 = 0.5

sine 180 = 0

sine 210 = -0.5

sine 240 =  -0.87 (rounded up to two decimal places)

sine 270 = -1

sine 60 =  0.87 (rounded up to two decimal places)

So the angle x such that 90° < x < 270° that has the same sine value as 60° is 120°

Answer:

9.42

Step-by-step explanation:

Breaking the phrase down:

'Nine' would be the number 9 in the ones place.

'And' represents the decimal in a number. ('.')

'Forty-Two Hundredths" is 0.42.

So, "nine and forty-two hundredths" would be 9.42.

Hope this helps.

Answer:here for the comments

Step-by-step explanation:

Answer:

The answer is 40.3 times greater

Step-by-step explanation:

Answer:

Percent decrease in mobile = 19.17 % (Approx)

Step-by-step explanation:

Given:

Retail price of mobile phone = $240

Sales tax = 15% on retail value

Total discount including sales tax = $46

Find:

Percent decrease in mobile

Computation:

Cost of mobile = $240(85/100)

Cost of mobile = $204

Percent decrease in mobile = [$46 - 15%]204

Percent decrease in mobile = 19.17 % (Approx)

Answer:

Trinomial  of degree 2

Step-by-step explanation:

The given expression cannot be reduce any further as far as number of terms (there are no like terms in it), so it is a trinomial.

Also, the largest power for the variable  init (y) is the power 2, therefore it is a trinomial of degree 2.

Answer:2,3 hope it help you

Step-by-step explanation:

Answer:

21.627

Step-by-step explanation:

get the distance between all points then add

Consider plane A with respect to B,

initial relative Altitude [tex] h_{a, b}=h_a-h_b=-972 [/tex]

relative rate of altitude(speed) $r_{a,b}= 55.75-35.5=20.25$

To get at same altitude, they'll take same time, and their relative height will be $0$ So,

$H_{a,b}=h_{a,b}+r_{a,b}t$

$0=-972+20.25t$

$t=48$

and altitude will be, $3028+55.75\cdot 48=5704$

Answer:

Step-by-step explanation:

We can write equations for the altitude of each plane:

  A(t) = 3028 +55.75t . . . . . initially at 3028 ft; gaining at 55.75 ft/s

  B(t) = 4000 +35.5t . . . . . initially at 4000 ft; gaining at 35.5 ft/s

The two altitudes will be equal when ...

  A(t) = B(t)

  3028 +55.75t = 4000 +35.5t . . . . substitute the expressions for A and B

  20.25t = 972 . . . . . . subtract 3028+35.5t

  t = 48 . . . . . . . . . . . . divide by 20.25

The common altitude will be ...

  B(48) = 4000 +35.5(48) = 5704 . . . . feet

The planes will both be at an altitude of 5704 feet after 48 seconds.

Answer:

loss

Step-by-step explanation:

Selling an item for less than was paid gives a loss

Selling an item for more than was paid gives a profit

Answer:

15x² + 4x feet

Step-by-step explanation:

We need to calculate (30x³ + 8x²) / 2x.

(30x³ + 8x²) / 2x

= 30x³ / 2x + 8x² / 2x

= 15x² + 4x

Answer:

Second choice

Explanation :

The postulate that is used in order to prove the congruency of the triangles is the ASA which means (Angle – Side – Angle). The property that is applicable for the congruency of DB to itself is the reflexive property. Therefore, the answer to this item is the second choice.

Hope I helped! :)

If yes mark me BRAINLIEST!

Tysm!

Triangles ABD and CDB are congruent to each other by the ASA theorem. The student used SAS which is wrong. The answer is: D.

The ASA theorem states that two triangles that have a pair of corresponding included congruent sides and two pairs of corresponding congruent angles are congruent triangles.

Based on the ASA theorem, triangles ABD and CDB are congruent to each other.

Therefore, the use of SAS theorem by the student is wrong.

Learn more about the ASA theorem on:

https://brainly.com/question/2102943

#SPJ6

Answer:

128

Step-by-step explanation:

3a² - 4b

plug in values

3(-6)² - 4(-5)

use PEMDAS and simplify (-6)² first

3(36) -4(-5)

multiply

108 + 20

add

128

hope this helps :)

Answer:Yes, because all integers have decimals. No, because integers do not have decimals. No, because integers cannot be negative. Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern.

Step-by-step explanation:

Answer:

AA Postulate

Step-by-step explanation:

The bottom lines are parallel. In this case they are also congruent. Combined with the top angle this makes in AA postulate