If y varies inversely as x, and y = 6 when x = 24, find x when y = 18

Answer:

It started on the 55th floor.

Step-by-step explanation:

We can work backwards from the 54th floor. Since we are working backwards, if the elevator goes up, we will subtract and if it goes down, we will add. Starting with 54, we get 54 + 5 = 59, then 59 - 9 = 50, then 50 + 2 = 52, then 52 - 6 = 48, then 48 + 14 = 62, then 62 - 7 = 55.

Answer:

2 ft/min

Step-by-step explanation:

Given that :

Kim was waling down a path for 4 minutes the elavation changed at the same rate altogether it dropped 8 feet what was the change in elavation each minute?

Time taken it wall down the path = 4 minutes

Rate of change of elevation is the same

Distance = 8 Feets

Therefore, change in elevation per minute :

Distance dropped / time taken to drop that distance

8 Feets / 4 minutes

2 Feets / minute

Change in elevation = 2 Feets per minute

Answer:

It creates a positive integer.

Step-by-step explanation:

Integers are whole number which could be negative or positive. Examples are; 2, 3, -1, -7 -5 etc.

Whenever an integer is squared, a positive integer is created. For example, let us consider integers; 3, 4, -3 and -4.

[tex](3)^{2}[/tex] = 3 × 3 = 9

[tex](-3)^{2}[/tex] = -3 × -3 = 9

Also,

[tex](4)^{2}[/tex] = 4 × 4 = 16

[tex](-4)^{2}[/tex] = -4 × -4 = 16

Therefore, the square of an integer creates a positive integer.

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 24m

The statement

The length is 30 m less than five times the width is written as

l = 5w - 30

Substitute the expression into the above formula and solve for the width

That's

24 = 2( 5w - 30) + 2w

24 = 10w - 60 + 2w

84 = 12w

Divide both sides by 12

w = 7

Substitute this value into l = 5w - 30

That's

l = 5(7) - 30

l = 35 - 30

l = 5

Therefore the dimensions are

width = 7 m

length = 5 m

Hope this helps you

Answer:

I think the sides of polygon are 6

Step-by-step explanation:

Because to form a polygon we need to the first to form a horizontal and vertical line,to find the number in that line,and join the line based on the numbers given, then you will get a polygon with 6 side

2cos pi/13 cos 9pi/13+ cos 3pi/13 +cos 5pi/13

=cos 10 pi/13 +cos 8 pi/13 +cos 3pi/13 +cos 5pi/13

=cos 10 pi/13 +cos 3pi/13 +cos 8pi/13 +cos 5pi/13

=2 cos pi/2 .cos 7 pi/26 +2 cos pi/2 .cos 3 pi /26

=2 (0)cos 7 pi /26 + 2(0) cos 3pi/26

=0 =R.H.S.

Answer:  see proof below

Step-by-step explanation:

Use the following identities:

2cos x · cos y = cos(x + y) + cos(x - y)

cos x + cos y = 2 cos (x + y)/2 · cos(x - y)/2

Use the Unit Circle to evaluate: cos(π/2) = 0

Proof LHS → RHS

[tex]\text{LHS:}\qquad \qquad \qquad 2\cos \dfrac{9\pi}{13}\cos \dfrac{\pi}{13}\quad +\quad \cos \dfrac{3\pi}{13}+\cos \dfrac{5\pi}{13}\\\\\text{Identity:}\qquad \quad \cos\bigg(\dfrac{9\pi}{13}+\dfrac{\pi}{13}\bigg)+ \cos\bigg(\dfrac{9\pi}{13}-\dfrac{\pi}{13}\bigg)+\quad \cos\bigg(\dfrac{3\pi}{13}\bigg)+\cos \bigg(\dfrac{5\pi}{13}\bigg)[/tex]

[tex]\text{Simplify:}\qquad \qquad \cos\bigg( \dfrac{10\pi}{13}\bigg)+\cos \bigg(\dfrac{8\pi}{13}\bigg)+\qquad \cos\bigg(\dfrac{3\pi}{13}\bigg)+\cos \bigg(\dfrac{5\pi}{13}\bigg)[/tex]

[tex]\text{Regroup:}\qquad \qquad \cos\bigg( \dfrac{10\pi}{13}\bigg)+\cos \bigg(\dfrac{3\pi}{13}\bigg)\quad +\quad \cos\bigg(\dfrac{8\pi}{13}\bigg)+\cos \bigg(\dfrac{5\pi}{13}\bigg)[/tex]

[tex]\text{Identity:}\qquad 2\cos \bigg(\dfrac{10\pi+3\pi}{13\cdot 2}\bigg)\cdot \cos \bigg(\dfrac{10\pi-3\pi}{13\cdot 2}\bigg)+\quad 2\cos\bigg(\dfrac{8\pi+5\pi}{13\cdot 2}\bigg)\cdot \cos\bigg(\dfrac{8\pi-5\pi}{13\cdot 2}\bigg)[/tex]

[tex]\text{Simplify:}\qquad 2\cos \bigg(\dfrac{13\pi}{26}\bigg)\cdot \cos \bigg(\dfrac{7\pi}{26}\bigg)+\quad 2\cos\bigg(\dfrac{13\pi}{26}\bigg)\cdot \cos\bigg(\dfrac{3\pi}{26}\bigg)\\\\\\.\qquad \qquad =2\cos \bigg(\dfrac{\pi}{2}\bigg)\cdot \cos \bigg(\dfrac{7\pi}{26}\bigg)+\quad 2\cos\bigg(\dfrac{\pi}{2}\bigg)\cdot \cos\bigg(\dfrac{3\pi}{26}\bigg)\\\\\\\text{Factor:}\qquad =2\cos\bigg(\dfrac{\pi}{2}\bigg)\bigg[ \cos \bigg(\dfrac{7\pi}{26}\bigg)+ \cos \bigg(\dfrac{3\pi}{26}\bigg)\bigg][/tex]

[tex]\text{Unit Circle:}\quad 2(0)\bigg[ \cos \bigg(\dfrac{7\pi}{26}\bigg)+ \cos \bigg(\dfrac{3\pi}{26}\bigg)\bigg][/tex]

Product of Zero         0

LHS = RHS:      0 = 0  [tex]\checkmark[/tex]

Answer:

D. 10

Step-by-step explanation:

9+4=13

x+3=13

x=10

The value of x is 10 which is correct option (D).

Angles of Intersecting Secants Theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs.

Given that,

Length of CW = 9 units,

Length of WV = 4 units,

Length of WU = 3 units,

Length of TW = x units,

⇒ Length of CW + Length of WV = Length of CV

⇒ 9 + 4

⇒  13

⇒ Length of TW + Length of WU = Length of CV

⇒ x + 3 = 13

⇒ x = 10 - 3

⇒ x = 10

Hence, the value of x is 10 which is correct option (D).

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Answer:

               Yes, it is.

Step-by-step explanation:

For each x we get y, and no two xes give the same y

Answer:

y^3z^4

Step-by-step explanation:

y*y*y*z*z*z*z

y*y*y=y^3

z*z*z*z=z^4

Together,

y^3z^4

Hope this helps ;) ❤❤❤

Answer:

your answer is A, y³ z⁴

Step-by-step explanation:

it was correct for me.

Answer:

50

Step-by-step explanation:

Follow the graph and the bricks go up by 50 per 1 layer

For 1 layer 50 bricks, for 2 layers 100 bricks, for 3 layers 150 bricks, and for 4 layers he uses 200 bricks.

The graph for a straight line is called the linear graph in the linear graph the increment of the data for both the axes is constant so it gave a linear relationship.

As we can see in the graph there is a relationship between the number of bricks and the layers of the bricks.

Therefore, for 1 layer 50 bricks, for 2 layers 100 bricks, for 3 layers 150 bricks, and for 4 layers he uses 200 bricks.

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Answer:

6:4:3.....................

The ratio between A, B, and C is 6:4:3.

To determine the ratio between A, B, and C based on the given information, we can set up the following equations:

2% of A = 3% of B

4% of C = 3% of B

Let's solve for the variables and find the ratio:

First equation: 2% of A = 3% of B

0.02A = 0.03B

A/B = 0.03/0.02

A/B = 1.5

Second equation: 4% of C = 3% of B

0.04C = 0.03B

C/B = 0.03/0.04

C/B = 0.75

Now, let's express the ratio A:B:C based on the ratios we found:

A:B = 1.5:1

B:C = 1:0.75

To obtain a common ratio, we can multiply both ratios by 4:

A:B = 6:4

B:C = 4:3

Combining these ratios, we have:

A:B:C = 6:4:3

Therefore, the ratio between A, B, and C is 6:4:3.

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Answer:

x = -9/4

Step-by-step explanation:

x/3 - 2 = - 11/4

Add 2 to each side

x/3 - 2+2 = - 11/4+2

Get a common denominator on the right

x/3 = -11/4 + 8/4

x/3 = -3/4

Multiply each side by 3

x/3*3 = -3/4 *3

x = -9/4

Answer:

[tex]$ x= -\frac{9}{4} $[/tex]

Step-by-step explanation:

[tex]$\frac{x}{3} - 2 = -\frac{11}{4} $[/tex]

[tex]$\frac{x}{3} -\frac{6}{3} = -\frac{11}{4} $[/tex]

[tex]$ \frac{x-6}{3} = -\frac{11}{4} $[/tex]

Multiply both sides by 3

[tex]$ x-6 = -\frac{33}{4} $[/tex]

[tex]$ x= -\frac{33}{4} + 6$[/tex]

[tex]$ x= -\frac{33}{4} + \frac{24}{4} $[/tex]

[tex]$ x= -\frac{9}{4} $[/tex]

Options:

A.0.25 centimeter = 3 kilometers

B.0.4 centimeter = 8 kilometers

C.0.75 centimeter = 15 kilometers

D.3 centimeters = 60 kilometers

E.6 centimeters = 144 kilometers

Answer:

B, C, D

Step-by-step explanation:

Distance between the two locations :

On map = 0.75 centimeter

Actual = 15 km

Using the scale drawing notation :

On map : actual

0.75 cm : 15 km

Therefore,

Actual / on map

15 / 0.75 = 20

This means :

1 cm on map represents 20 km on land

0.25 cm on map = (20 * 0.25) = 5 kilometers

0.4 cm on map = (20 * 0.4) = 8 kilometers

0.75 cm on map = (20 * 0.75) = 15 kilometers

3 cm on map = (20 * 3) = 60 kilometers

6 cm on map = (20 * 6) = 120 kilometers

Hence, only options B, C and D are correct

Answer:

b,c,d are correct.

Step-by-step explanation:

just shortened the answer above me°∪°

0.2017 this is the answer i got

Answer:

0.02179

Step-by-step explanation:

8.5÷390 = 0.02179

Answer:

x=8

Step-by-step explanation:

-2x+2-7x=-70

Minus two from each side.

-2x-7x=-72

Combine like terms.

-9x=-72

Divide -9 from each side.

x=8

Answer:

Total cost of dinner = P + 0.15p = 23

Step-by-step explanation:

Consider the information provided.

The cost of dinner at a restaurant is $P.

The tip offered for the service was, $0.15p.

The total of the cost of dinner and the tip offered for the service is:

T = P + 0.15p = 23

========================================================

Explanation:

The domain is the set of allowed x values. In terms of a graph, we look at the left most point to see that x = -5 is the smallest x value possible. However, there's an open hole at this endpoint, so -5 itself is actually not part of the domain. So x must be larger than -5. At the same time, x can be as large as x = 3. Look at the very right tip of the graph to find this x value.

So x spans from -5 to 3, excluding -5 but including 3. We would write [tex]-5 < x \le 3[/tex] which converts to the interval notation (-5, 3]. Note the mix of curved parenthesis and square bracket. The curved parenthesis means to exclude the endpoint, while the square bracket means include the endpoint.

-----------

The range is the set of possible y outputs. Find out the lowest point of the graph. That is when y = -4 and this value is included due to the filled in circle at the endpoint. But we do not include the largest y value y = 5 as there's an open hole at this endpoint.

So the range is the set of y values such that [tex]-4 \le y < 5[/tex] which in interval notation would be written as [-4, 5)

-----------

So in short, you're looking for the min and max of x and y to get the domain and range respectively. Be sure to exclude any values where there are open holes as those do not count as part of the graph.

For a given function f(x), we define the domain as the set of the possible inputs for that function.

Here we will see that the domain is (-5, 3]

So, to find the domain by looking at a graph, we need to see the smallest x-value and the largest x-value.

In the graph, at the left, we can see that we have a white dot at x = -5

This means that the point itself does not belong to the domain, so here we need to use an open interval symbol, which is (

Then at the moment, we have:

domain = (-5

Now if we look at the right side, we can see that we have a black dot at x = 3.

This means that the value x = 3 belongs to the domain, so here we need to use the close symbol ].

Then the domain will be:

(-5, 3]

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Answer: 1/4

Step-by-step explanation:

​​-

Answer:

5/12 - 1/6

Step-by-step explanation:

Took the diagnostic

Answer:

25

Step-by-step explanation:

For each problem, the two numbers on the left are perfect squares. The number in the upper right is the square of the difference between the two numbers on the left. The number on the bottom right is equal to the number on the upper right plus the number on the upper left.

For problem 16, we know that the square of the difference between 36 and the missing number is 121. The square root of 121 is 11, so the missing number is 36 - 11 = 25 which fits the pattern because it is also a perfect square.

(Also if you look at problem 15, it basically gives you the answer to problem 16.)

Answer:

See below

Step-by-step explanation:

The upper left box and the bottom left box are being subtracted. When the result is obtained we square it and the squared answer is written in the top right box. After that , the squared answer and the top left answer are added to get the bottom left answer.

See the attached file.

Answer:

16-7+22-12+18-9

The correct answer is $28

Step-by-step explanation:

Thanks

The expression that uses adding the additive inverse to rewrite the expression is 16 + (–7) + 22 + (–12). Therefore, option C is the correct answer.

The given expression 16 – 7 + 22 – 12.

We need to rewrite the expression needed to find his total earnings.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The additive inverse of a particular number refers to the number that when the added will to the number will be equal to 0.

Now, based on the information given in the question, the additive inverse will be 16 + (–7) + 22 + (–12).

Therefore, option C is the correct answer.

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Your question is incomplete, probably the complete question/missing part is:

Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchasing more lemons, cups, and sugar to make more lemonade. On day 2, he earned $16 and spent $7 on supplies. On day 3, he earned $22 and spent $12. The expression 16 – 7 + 22 – 12 can be used to model the situation for these 2 days.

Identify the expression that uses adding the additive inverse to rewrite the expression.

–16 + (–7) + (–22) + (–12)

–16 + 7 + (–22) + 12

16 + (–7) + 22 + (–12)

16 + (–7) + 22 + 12

Answer: Y=60x

Step-by-step explanation:

find the slope (Y2-Y1)/(X2-X1)

                       (240-150)/4-2.5)

                        90/1.5 =60

It's multiple choice so it can only be a or b. If you do 60 x 2.5 you get 150 so there's no way you will add 480 so you are done it's A. If it's not a multiple choice question then you would do the who y=mx+b and plug in x, y and m and then find the b which in this case would be 0.

Answer:

(2.5,150)(4,240)

slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60

y = mx + b

slope(m) = 60

(4,240)...x = 4 and y = 240

now we sub and find b, the y int

240 = 60(4) + b

240 = 240 + b

240 - 240 = b

0 = b

so ur equation is : y = 60x + 0 which is written as : y = 60x <==

Answer:

The first derivative of [tex]r(t) = 5\cdot t^{-2}[/tex] (r(t)=5*t^{-2}) with respect to t is [tex]r'(t) = -10\cdot t^{-3}[/tex] (r'(t) = -10*t^{-3}).

Step-by-step explanation:

Let be [tex]r(t) = \frac{5}{t^{2}}[/tex], which can be rewritten as [tex]r(t) = 5\cdot t^{-2}[/tex]. The rule of differentiation for a potential function multiplied by a constant is:

[tex]\frac{d}{dt}(c \cdot t^{n}) = n\cdot c \cdot t^{n-1}[/tex], [tex]\forall \,n\neq 0[/tex]

Then,

[tex]r'(t) = (-2)\cdot 5\cdot t^{-3}[/tex]

[tex]r'(t) = -10\cdot t^{-3}[/tex] (r'(t) = -10*t^{-3})

The first derivative of [tex]r(t) = 5\cdot t^{-2}[/tex] (r(t)=5*t^{-2}) with respect to t is [tex]r'(t) = -10\cdot t^{-3}[/tex] (r'(t) = -10*t^{-3}).

Answer:

1053.543 in

Step-by-step explanation:

I divided the length value by 2.54

Answer:

1053.5 in

Step-by-step explanation:

                      1 in

2676 cm  x ------------   =  1053.5 in

                    2.54 cm

Answer:

Step-by-step explanation:

A discount of 40% was allowed on the price

To find the price after the discount first calculate the discount and subtract it from the original price

That's

[tex] \frac{40}{100} \times 7000[/tex]

= 2800

So the price after the discount is

#7000 - #2800

Which is

Hope this helps you

Answer:

n = 9

Step-by-step explanation:

Step 1: Solve the equation

85 = -5 + 10n

90 = 10n

n = 9

Therefore n is equal to 9

Answer:

x=0.1

Step-by-step explanation:

-3.7-9.7x=7x-5.2

-3.7+5.2=7x+9.7x

1.5=16.7x

x=0.08982

x=0.1

Answer:

Graph A

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Since we are dealing with a slope of zero, we replace m with 0:

y = 0x + b

y = b

Here, we see that we would have a horizontal line. Therefore, graph A would be our answer.

Answer:

A

Step-by-step explanation:

A slope of zero is a horizontal line, because it does not change vertically

A would be the graph of a line with a slope of zero

Answer:

1

how did i get it:

-6 - (-5) = 1