Which equations represents inverse variation? Check all that apply

Part A

Answer:  33.2 degrees F

Explanation: Adding on a negative is the same as subtracting. So 72.3 + (-39.1) = 72.3 - 39.1 = 33.2

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Part B

Answer: 70 +  2   +  0.3    + (-30) + (-9) + (   -0.1   )

Explanation:

Think of 72 as 70+2. Furthermore, think of 72.3 as 70+2+0.3; we just break the number up into its corresponding digits (adding zeros when needed). The 7 is in the tens place, the 2 is in the units or ones place, and the 3 is in the tenths place.

Similarly, we have 39.1 break down into 30+9+0.1, in which all three terms are made negative to represent -39.1

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Part C

Answer:   70 + (-30) + 2 + (-9) + 0.3 + ( -0.1  )  

Explanation: Arrange the tens place value items to be next to each other. Same goes for the units place value, and also the tenths place value.

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Part D

Answer:  [70 + (-30)] +  [ 2 + (-9) ] + [ 0.3 + ( -0.1  ) ]

Explanation: Take the result of part C and surround each pair of terms in square brackets to show how the terms pair up.

Answer:

It's A, the bartender

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Since these are production vehicles, we don't expect their top speed to be more than about 70 m/s, so the distance functions probably lose their validity after t = 25. Of course, t < 0 has no meaning in this case, so the suitable domain is about ...

  0 ≤ t ≤ 25

Note that the domain for the second car would be 3 ≤ t ≤ 25.

__

b) The graph of this system shows the cars will both have driven the same distance after 16.348 seconds.

__

c) At that time, the cars will have driven 310.0 meters.

_____

Non-graphical solution

If you like, you can solve the equation for t:

  d1 = d2

  1.16t^2 = 1.74(t -3)^2

  0 = 0.58t^2 -10.44t +15.66

  t = (10.44 +√(10.44^2 -4(0.58)(15.66)))/(2(0.58)) = (10.44+8.524)/1.16

  t = 16.348 . . . . time in seconds the cars are at the same distance

That distance is found using either equation for distance:

  1.16t^2 = 1.16(16.348^2) = 310.036 . . . meters

Answer:

33m 40cm.

Step-by-step explanation:

One side of the shed measures 8 meters and 35 centimetres, which is 800 + 35 = 835 centimetres.

Since the shed is a square, all side lengths are 835 centimetres long. So, the perimeter is 835 * 4 = 3,340 centimetres. That means that the perimeter is 33 meters and 40 centimetres.

Hope this helps!

Answer:

so if it is asking about the exact percentage then the answer is B but if it is the percentage in all the answer is D.

Step-by-step explanation:  My reasoning behind is that 70 percent of the neighborhood wants a playground if it is 40 to 17

Percentage Hill point residence want playground is about 70% .

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"

According to the question

Hill point residence want playground =  0.40

Total who want playground = 0.58

now,

Percentage Hill point residence want playground over total

[tex]\frac{0.40}{0.58} *100[/tex]

= 68.96%

≈ 70%

Hence, Percentage Hill point residence want playground is about 70% .

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Answer:

<3 = 112 degrees

<4 = 68 degrees

Step-by-step explanation:

<3 = 112 degrees (Alternate angles are congruent)

And,

<4+<3 = 180 (Angles on a straight line add up to 180)

=> <4 + 112 = 180

=> <4 = 180-112

=> <4 = 68 degrees

Answer:

This means volume of the larger canister is 8 times more than volume of the smaller canister.

This means surface area of the larger canister is 4 times greater than volume of the smaller canister.

Step-by-step explanation:

Smaller canister

Diameter=9cm

Radius=diameter/2

=9/2=4.5cm

Height=12cm

Larger canister (double of the smaller canister)

Radius=4.5*2=9cm

Height=12*2=24cm

Volume=πr^2h

Surface area=2πrh + 2πr^2

Volume of smaller canister=πr^2h

=3.14*(4.5)^2*12

=3.14*20.25*12

=763.02

Surface area of the smaller canister=2πrh + 2πr^2

=2*3.14*4.5*12 + 2*3*14*(4.5)^2

=339.12 + 127.17

=466.29

Volume of larger canister=πr^2h

=3.14*(9)^2*24

=3.14*81*24

=6104.16

Surface area of larger canister=2πrh + 2πr^2

=2*3*14*9*24 + 2*3.14*(9)^2

=1356.48 + 508.68

=1865.16

Compare smaller and larger volume of the canister:

Volume if larger/volume of smaller

=6104.16/763.02

=8

This means volume of the larger canister is 8 times more than volume of the smaller canister

Compare surface area of larger and smaller canister:

Surface area of larger canister/surface area of smaller canister=1865.16/466.29

=4

This means surface area of the larger canister is 4 times greater than volume of the smaller canister

Answer:

Yeah, what she said above.

Step-by-step explanation:

Answer:

(a) D(t) = 250t -500 miles

(b) Controller has 2 hours, but including time for pilots to divert course or altitude.

Step-by-step explanation:

Given:

two planes at same altitude heading in a collision course.

Plane A at 400 miles from collision point at 200 mph

Plane B at 300 miles from collision point at 150 mph.

Theoretical collision happens in

t = 400/200 = 300/150 = 2 hours

Distance ya of plane A from collision point as a function of time in hours

ya(t) = 400 -200t

Distance yb of plane B from collision point as a function of time in hours

yb(t) = 300-150t

(a) Distance between two planes,

Since the two planes are on courses perpendicular to each other, will need using pythagorean theorem

D(t) = sqrt(ya(t)^2+yb(t)^2)

= sqrt((400-200t)^2+(300-150t)^2)

= 250(t-2)

D(t) = 250t -500 miles

b. time available

Time until D(t) = 0

solve D(t) = 0

D(t) = 0

250(t-2) = 0

t = 2  (two hours)

Answer:

a) -500 mph

b) 1/2 h

Step-by-step explanation:

a)[tex]\frac{ (150(-300))+(200(-400))}{\sqrt{150x^{2} +200^{2} } }[/tex]

b) [tex]\frac{\sqrt{150^{2}+200^{2} } }{500}[/tex]

Answer:

1

Step-by-step explanation:

y2 - y1 divided by x2 - x1

-9 + 5 = -4

3 - 7 = -4

-4/-4 = 1

Answer:

A

i

Step-by-step explanation:

Hope it helps

Answer:

0.0062

Step-by-step explanation:

Given that:

Mean (μ) = 72 inches, Standard deviation (σ) = 1.2 inches.

The z score is a measure in statistics is used to determine by how many standard deviation the raw score is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean, the z score is negative.

The z score is given as:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

For Clydesdale is greater than 75 inches tall, x = 75 inches, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{75-72}{1.2} =2.5[/tex]

The probability that a Clydesdale is greater than 75 inches tall = P(X > 75) = P(Z > 2.5) = 1 - P(Z < 2.5) = 1 - 0.9938 = 0.0062 = 0.62%

The probability that a Clydesdale is greater than 75 inches tall is 0.62%

Answer:

The share price increased by $40

Step-by-step explanation:

In the first year: (t = 1)

=> V = [tex]2.95 +2log10(10(1)+1)[/tex]

=> [tex]V = 2.95 + 2 (10+1)\\V = 2.95+2(11)[/tex]

=> [tex]V = 2.95+22[/tex]

=> V = $ 24.95

In the 3rd Year: (t = 3)

=> [tex]V = 2.95 + 2log10(10(3)+1)[/tex]

=> [tex]V = 2.95+ 2(30+1)[/tex]

=> [tex]V = 2.95+2(31)[/tex]

=> V = 2.95 + 62

=> V = $64.95

The Share Price increased by:

=> $64.95-$24.95

=> $40

The share price increased by $40

Answer:

Casey is correct.

Step-by-step explanation:

Robert's 5 1/8 + 2 1/3 = 7 1/2 is wrong because if 5+2 = 7, I would have to change the denominator of both fractions so they are both the same. The denominator would have to be 24. That would make the fractions 3/24 and 8/24. If you added them together, it would not be able to simplify to 1/2.

Casey's -4 1/2 + 6 3/4 = 2 1/4 is correct because —4 - 6 = 2. In order to make the fractions have the same denominator, you would have to multiply -1/2 by 2 on both numerator and denominator wich would  equal -2/4. Now add -2/4 and 1/4 and you get 1/4. If my explaining is confusing, I'm sorry!☜(ﾟヮﾟ☜)

Casey is correct and he will get the correct solution.

We have given that,

ROBERT                          CASEY

5 1/8+ 2 1/3 = 7 1/2       -4 1/2+ 6 3/4= 2 1/4

Robert's 5 1/8 + 2 1/3 = 7 1/2 is wrong because if 5+2 = 7, I would have to change the denominator of both fractions so they are both the same.

A statement that the values of two mathematical expressions are equal.

The denominator would have to be 24.

That would make the fractions 3/24 and 8/24.

If you added them together, it would not be able to simplify to 1/2.

Casey is correct.

-4 1/2 + 6 3/4 = 2 1/4 is correct

because 4 - 6 = 2.

In order to make the fractions have the same denominator, you would have to multiply -1/2 by 2 on both numerator and denominator which would equal -2/4.

Now add -2/4 and 1/4 and you get 1/4.

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Answer:

Daniel had 108 stickers at first

Step-by-step explanation:

Number of Daniel's stickers = d

Number of Elle's stickers = e

Since Daniel had 80 more stickers than Elle, d = 80 + e

e = d - 80

Daniel gave 1/4 of his stickers to Elle, Daniel is left with (d - d/4) = 3d/4

Elle now has e + d/4 = d - 80 + d/4 = (5d/4) - 80 = (5d - 320)/4

Elle now gave 3/5 of her remaining stickers to Daniel:

Elle now has:

[tex]e_{new} = \frac{5d -320}{4} - \frac{3}{5} * \frac{5d -320}{4}\\\\e_{new} = \frac{5d -320}{4} - \frac{15d -960}{20}\\\\e_{new} = \frac{25d - 1600 - 15d + 960}{20} \\\\ e_{new} = \frac{10d-640}{20}[/tex]

Daniel now has:

[tex]d_{new} = \frac{3d}{4} + \frac{3}{5} (\frac{5d - 320}{4} )\\d_{new} = \frac{3d}{4} + \frac{15d - 960}{20} \\d_{new} = \frac{30d - 960}{20}[/tex]

Daniel now had 92 more stickers than Elle

[tex]d_{new} = E_{new} + 92[/tex]

[tex]\frac{30d - 960}{20} = \frac{10d - 640}{20} + 92[/tex]

Multiply through by 20

30d - 960 = 10d - 640 + 1840

20d = -640 + 1840 + 960

20 d = 2160

d = 2160/20

d = 108

Answer:

7

Step-by-step explanation:

The formula to find the area of a circle is pi*r^2.

We were given 49pi. This means that 49=r^2.

The square root of 49 is 7.

So our radius is 7.

Hope this helps! <3

Answer:

-26 ft  or 26 ft below the surface

Step-by-step explanation:

Starting at the surface

0

Descending 20 ft

0 -20 = -20

Rose 12 ft

-20 +12 = -8

Descends 18 ft

-8 -18= -26 ft

Answer:

duty = 64

Total cost is 224

Step-by-step explanation:

First find the cost of the 5 sets

5 * 32 = 160

Then find the duty

160 * 40%

160 * .4 =    64

Add this to the cost of the sets

160+64 =224

Answer:

The distance from AD to BC is 7

Step-by-step explanation:

The information given are;

The type of inscribed quadrilateral ABCD = Isosceles trapezoid

The radius of the circle = 5

Segment AD of ABCD = 6

The median of the trapezoid ABCD = 7

Given the trapezoid theorem, the median is equal to half the length of the two bases added together, we have;

(AD + BC)/2 = 7

Which gives;

(6 + BC)/2 = 7

BC = 7×2 - 6 = 8

Therefore the distance from AD to BC is given by the distance from BC to the median line added to the distance from AD to the median line given as follows;

The distance from BC to the median = √(Radius² - (BC/2)²) = √(5² - (8/2)²) = 3

The distance from BC to the median = 3

The distance from AD to the median = √(Radius² - (AD/2)²) = √(5² - (6/2)²) = 4

Which gives;

The distance from AD to BC = 3 + 4 = 7

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

If a < 7, then |a-7| = -(a-7) = -a+7 based on how absolute value functions are constructed. We're using the idea that

[tex]|x-k| = \begin{cases}x-k \ \text{ if } \ x \ge k\\ -(x-k) \ \text{ if } \ x < k\end{cases}[/tex]

Also, if a < 7, then |a-9| = -(a-9) = -a+9. This is true whenever 'a' is less than 9 for similar reasoning as above.

---------

So we have,

|a-7| - |a-9| = -a+7 - (-a+9) = -a+7+a-9 = -2

As long as a < 7, the result of |a-7| - |a-9| will always be -2.

---------

As an example, let's say a = 0

|a-7| - |a-9| = |0-7| - |0-9|

|a-7| - |a-9| = |-7| - |-9|

|a-7| - |a-9| = 7 - 9

|a-7| - |a-9| = -2

I recommend you try out other values of 'a' to see if you get -2 or not. Of course only pick values that are smaller than 7.

First solve for y in [tex]2x - 3y \le 12[/tex] to get [tex]y \ge \frac{2}{3}x-4[/tex]. The inequality sign flips because we divided both sides by a negative value.

To graph [tex]y \ge \frac{2}{3}x-4[/tex] we need to graph the boundary line y = (2/3)x - 4. This line has a y intercept of (0,-4) and another point on the line is (6,0).

Draw a solid line through (0,-4) and (6,0). The boundary line is solid because of the "or equal to" part of the inequality sign. The last part is to shade above the boundary line because of the "greater than" sign in [tex]y \ge \frac{2}{3}x-4[/tex].

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

As for graphing y < -3, we draw a horizontal dashed line through -3 on the y axis. The line is dashed because there is no "or equal to" here. We do not include boundary points as part of the solution set. Shade below this dashed line due to the "less than" sign.

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

After doing both of these things on the same xy grid, you'll get something that looks like choice C. I'm assuming choice C has a dashed line for the red region.

The graph is image 2. (last option)

We first draw the lines 2x - 3y = 12 and y=-3. Image 1.

For 2x - 3y ≤ 12

or, 2x - 12 ≤ 3y

or, 3y ≥ 2x - 12

or, y ≥ (2x - 12)/3

we shade upwards.

For y < - 3 we shade below.

So the graph is image 2.

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Answer:

U to V: 5/2

V to U: 2/5

Step-by-step explanation:

Simplify the ratio of the corresponding sides.

20 in to 8 in

25 in to 10 in

30 in to 12 in

Answer:

1

Step-by-step explanation:

Answer:

45.29 miles per hour

Step-by-step explanation:

Speed is the distance over time.  To find the average rate of speed for a trip, we simply need to take the total distance divided by the total time.

Avg. Speed = (188 miles + 197 miles) / (4 hours + 4.5 hours)

Avg. Speed = 45.29 miles per hour

Hence the average rate of speed for the trip was 45.29 miles per hour.

Cheers.

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

Edit:  Thanks to Chegsnut36 for calculation correction

Answer:

≅45.29

Step-by-step explanation:

Hey there!

To find the average rate speed we need to add all the same number.

188 + 197 = 385

4 + 4.5 = 8.5

Now to find the average rate we do,

385 ÷ 8.5 ≅ 45.29

Hope this helps :)

Answer:

Step-by-step explanation:

Angles at a point add up to 360°

To find x add up all the angles and equate them to 360°

That's

168 + 123 + x = 360

291 + x = 360

x = 360 - 291

x = 69°

Hope this helps you

Answer:

x = 69

Step-by-step explanation:

The sum of a circle is 360 degrees

x+ 168+123 = 360

Combine like terms

x +291 = 360

Subtract 291 from each side

x+291-291 = 360-291

x =69

Answer: I think it's 2

Step-by-step explanation: i am not dat good at math

Answer:

the number would be 3 because you start at 20 and then 4 times something will make 32 so 3 times 4 equals 12 and 20 plus 12 equals 32.

Answer:

y=2x-5

Step-by-step explanation:

y=mx+c

mx=slope

In this case, the slope is already given to you which means the m=2.

y=2x+c.

The coordinates are (14, 23) and when you put -5 into c, the line goes through the coordinates (14, 23).

Hope this helps!

Answer:

Option C is the correct option.

Step-by-step explanation:

√ 8 • √ 5

Calculate the product

[tex] = \sqrt{40} [/tex]

Simplify the radical expression

[tex] = \sqrt{2 \times 2 \times 10} [/tex]

[tex] = 2 \sqrt{10} [/tex]

Hope this helps...

Best regards!!

Answer:

The larger canister has 8 times the volume and 4 times the volume of the smaller one.

Step-by-step explanation:

The smaller canister has a diameter of 9 cm (radius = 4.5 cm) and height of 12 cm.

The larger canister has double the diameter and height of the smaller one. The diameter of the larger canister is 18 cm (radius = 9 cm) and height of 24 cm.

The canisters are in the shape of a cylinder.

The volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

The surface area of a cylinder is given as:

A = 2πr(r + h)

SMALLER CANISTER

Volume = π * 4.5 * 4.5 * 12 = 763.41 cubic centimetres

Area = 2 * π * 4.5(4.5 + 12) = 2 * π * 4.5 * 16.5 = 466.53 square centimetres

LARGER CANISTER

Volume = π * 9 * 9 * 24 = 6107.26 cubic centimetres

Area = 2 * π * 9(9 + 24) = 2 * π * 9 * 33 = 1866.11 square centimetres

By reason of comparison, the larger canister has 8 times the volume and 4 times the volume of the smaller one despite having double the dimensions.

Answer:

Yeah, what they said above.

Step-by-step explanation:

Answer:

2x-(3x+5) = -x-5

Step-by-step explanation:

     2x + 0

-

     3x + 5

-———————-

     -x - 5