If dave decides to go scuba diving for the first time. If he descends at -2 1/3 feet every second, at what depth will he be at after 3 1/2 seconds.

Answer:

Given the inequality, any number that is less than 8.7 (not including 8.7) would fall into the category of a solution for this inequality.  So 8, 1, -41, 0.3 are all solutions as well as an infinite amount of other solutions.

Hope this helps!  Let me know if you have any questions

The width and the length of the rectangular pen will be equal to w=11 feet and the length=20 feet.

The perimeter is defined as the sum of all the sides of the figure. In a rectangle, it is the sum of all the sides of the rectangle.

For this problem, we need to find what perimeter is equal to 62 feet. To find the perimeter of a rectangle we do:

P=2w+2l

where p = perimeter, w = width, and l = length

This problem says that the length is 9 feet longer than the width, so the length would be:

w+9

Now we know what the perimeter and length is, so we can put those into the equation above. This is what it will look like:

62=2w+2(w+9)

and that will solve like so:

62=2w+2w+18

62=4w+18

44=4w

w=11

Now that we know the width we can plug it into our first equation to find the length:

62=(2(11)+2l

62=22+2l

40=2l

l=20

Your width is 11 feet and your length is 20 feet.

hence the width and the length of the rectangular pen will be equal to w=11 feet and the length=20 feet.

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The solution of the quadratic equation is irrational because 11² - 4*3*9 is not a perfect square.

An irrational quadratic equation is an equation that contains two irrational solutions making the equation not to be able to be solved through factorisation.

Using the quadratic equation formula to solve, the irrational solutions are gotten below,

X = -b +√b²- 4ac/2a

where a = 3; b= 11 ; C = 9

X = -3+√11²-4*3*9/2*3

X= -3+√ 121-108/6

X= -3 +√13/6

X =-3/6 +√13/6

X= -1/2 + √13/6

Therefore,X = -1/2 +√13/6 or

X = -1/2 - √13/6

The solution are two irrational numbers that are not prefect squares.

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Answer:

use vertex form of parabola:

y=a%28x-h%29%5E2%2Bk....if vertex (0,7), we have

y=a%28x-0%29%5E2%2B7

y=ax%5E2%2B7......use point (3,2) to find a

2=a%2A3%5E2%2B7

2=9a%2B7

2-7=9a

-5=9a

a=-5%2F9

so, your equation is: y=-%285%2F9%29x%5E2%2B7

Step-by-step explanation:

Answer:

The answer is B, 396 square units.

Step-by-step explanation:

We can separate the figure into five individual polygons and sum up their areas to find the total surface area of the figure.

The base of the figure is 8*12 = 96.

The rectangle at the back of the figure is 8*9 = 72.

To find the area of the rectangle on top, we need to first find second side length. To do this, we use the pythagorean theorem (a^2 + b^2 = c^2) on the right triangle, so 9^2 + 12^2 = c^2 --> 225 = c^2 --> c = 15. Next, we find the area of the rectangle which is 8*15 = 120.

The area of the triangle to the side is 1/2*12*9 (9 is height because it's a right triangle) = 54, so the area of both triangles is 54*2 = 108.

Now we sum up the areas: 96 + 72 + 120 + 108 = 396

Answer:

[tex]\boxed{\tt = 1 2√5−24√(14)+2√(30)−8√(21)}[/tex]

Or

[tex]\boxed{ \tt \approx88.7}[/tex]

Step-by-step explanation:

Apply FOIL method to expand:

[tex] =\tt6√2(√(10)−4√7)+2√3(√(10)−4√7)[/tex]

[tex] \tt \:=6√2√(10)+6√2(−4√7)+2√3(√(10)−4√7)[/tex]

[tex] \tt \: = 6√2√(10)+6√2(−4√7)+2√3√10+2√3(−4√7)[/tex]

Simplify:

[tex] =\tt6√(20)+6√2(−4√7)+2√3√(10)+2√3(−4√7)[/tex]

[tex] \tt \: = 6 \sqrt{2 {}^{2} \times 5} +6√2(−4√7)+2√3√(10)+2√3(−4√7)[/tex]

[tex] \tt \: = 6(2√5)+6√2(−4√7)+2√3√(10)+2√3(−4√7)[/tex]

[tex] \tt = 12√5+6√2(−4√7)+2√3√(10)+2√3(−4√7)[/tex]

[tex] \tt = 12√5−24√(14)+2√3√(10)+2√3(−4√7)[/tex]

[tex] \tt \: = 12√5−24√14+2√(30)+2√3(−4√7)[/tex]

[tex] \tt \: = 12√5−24√(14)+2√(30)−8√(21)[/tex]

or

[tex] \tt \: \approx88.7[/tex]

[tex]\rule{230pt}{2pt}[/tex]

[tex]\left( 6 \sqrt 2 + 2 \sqrt 3 \right) \left( \sqrt{10} -4 \sqrt7 \right)\\\\=\left(6\sqrt 2 \right) \left(\sqrt{10} \right) - \left(6\sqrt 2\right)\left(4\sqrt 7 \right)+\left(2\sqrt 3 \right) \left(\sqrt{10} \right)-\left(2\sqrt 3 \right) \left(4 \sqrt 7 \right)\\\\=6\sqrt{2 \cdot 10} -24\sqrt{2 \cdot 7} + 2\sqrt{10 \cdot 3} - 8 \sqrt{3 \cdot 7}\\\\=6\sqrt{4 \cdot 5}-24\sqrt{14}+2\sqrt{30} - 8 \sqrt{21}\\\\=6\cdot 2\sqrt 5-24\sqrt{14}+2\sqrt{30} - 8 \sqrt{21}\\\\[/tex]

[tex]=12\sqrt{5} -24\sqrt{14}+2\sqrt{30} - 8 \sqrt{21}\\\\\approx -88.68[/tex]

Before we continue, note that "percent increase from 43 to 78" is the same as "the percentage increase from 43 to 78". Furthermore, we will refer to 43 as the initial value and 78 as the final value.

So what exactly are we calculating? The initial value is 43, and then a percent is used to increase the initial value to the final value of 78. We want to calculate what that percent is!

Here are step-by-step instructions showing you how to calculate the percent increase from 43 to 78.

First, we calculate the amount of increase from 43 to 78 by subtracting the initial value from the final value, like this:

78 - 43

= 35

To calculate the percent of any number, you multiply the value (n) by the percent (p) and then divide the product by 100 to get the answer, like this:

(n × p) / 100 = Answer

In our case, we know that the initial value (n) is 43 and that the answer (amount of increase) is 35 to get the final value of 78. Therefore, we fill in what we know in the equation above to get the following equation:

(43 × p) / 100 = 35

Next, we solve the equation above for percent (p) by first multiplying each side by 100 and then dividing both sides by 43 to get percent (p):

(43 × p) / 100 = 35

((43 × p) / 100) × 100 = 35 × 100

43p = 3500

43p / 43 = 3500 / 43

p = 81.3953488372093

Percent Increase ≈ 81.3953

That's all there is to it! The percentage increase from 43 to 78 is 81.3953%. In other words, if you take 81.3953% of 43 and add it to 43, then the sum will be 78.

The step-by-step instructions above were made so we could clearly explain exactly what a percent increase from 43 to 78 means. For future reference, you can use the following percent increase formula to calculate percent increases:

((f - n)/n) × 100 = p

f = Final Value

n = Initial Value

p = Percent Increase

Once again, here is the math and the answer to calculate the percent increase from 43 to 78 using the percent increase formula above:

((f - n)/n) × 100

= ((78 - 43)/43) × 100

= (35/43) × 100

= 0.813953488372093 × 100

≈ 81.3953

Answer:

36

Step-by-step explanation:

Let length of AB be x, then length of BC will be (48-x)

since, AB : BC is 3:1 we get

x = 3 ( 48 - x )

x = 144 - 3x

4x = 144

x = 36

The actual Area is about 50.24 select the closest one to that answer

radius^2 Times pi

Answer:

50.24 ft²

Step-by-step explanation:

i did this already

Answer:

4.27985 and 14.72015

Step-by-step explanation:

4.27985 x 14.72015 = 63

4.27985 + 14.72015 = 19

Answer:

D

the first one obviously isnt random
the second one is selective then random
the third one is also selective
the fourth one is random

Answer:

135

Step-by-step explanation:

45+30+30+30

Answer:

He would spend $14.40 on 12 bottles.

Answer:

x = 15

y = 63

Step-by-step explanation:

9x - 7 + 4x - 8 = 180

13x = 195

x = 15

9x - 7 = 2y + 2

126 = 2y

y = 63

Answer:

Step-by-step explanation:

Answer:

2, 4

Step-by-step explanation:

Area of a rectangle = Length × width

20 = 5 × x²

x² = 4

x = 2

Value of x is 2

width is x² = 4

Answer:

Step-by-step explanation:

Let :

Finding the change in level

24.5 kg

first you have to divide 31.5 by 9, which is 3.5

then you multiply 7 by 3.5 to get 24.5

Answer:

Perimeter is 25, Area is 27

Step-by-step explanation:

Open the file

Answer:

Area is = 36

Perimeter is = 26

Step-by-step explanation:

To find the area of a rectangle multiply the width and length of the rectangle.

So the width is 4 and the length is 9

4 x 9 = 36

To find the perimeter of a rectangle use formula P=2(l+w)

So . . .

P = 2(4+9)

P = 2(13)     P= 26  

Answer:

[tex]\huge\boxed{\bf\:30^{\circ}}[/tex]

Step-by-step explanation:

We need to find m ∠EGD.

From the given figure, we can see that, ∠BGA & ∠EGD are vertically opposite angles (opposite angles that share the same vertex ⟶ G).

Also, vertically opposite angles are equal to each other.

Given,  ∠BGA = 30°

So,  ∠EGD =  ∠BGA = 30°.

[tex]\rule{150pt}{2pt}[/tex]

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

from the given figure , we can easily see that ∠AGB = ∠EGD

this is because these angles are vertically opposite , i.e. , the angles that share the same vertex ! also , it's known that two angles that are vertically opposite are equal to each other !

[tex]\therefore \: \bold{\angle \: EGD= 30\degree}[/tex]

hope helpful ~

Answer:if u has a screen shot I whould add a better answer but 0.36 or any smaller number start with 0.

Step-by-step explanation:

Answer:

0.36 0.35 0.34 so on

Step-by-step explanation:

screenshot would help

Answer:

w=-7/2z

Step-by-step explanation:

just ask

Step-by-step explanation:

[tex]5w + 9z = 2z + 3w[/tex]

[tex]5w - 3w = 2z - (9z)[/tex]

[tex]2w = - 7z[/tex]

[tex]w = - 7z \div 2[/tex]

[tex]w = - 7z \times \frac{1}{2} \\ [/tex]

[tex]w = - \frac{7}{2} z \\ [/tex]

Answer:

95%

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

An integer can be a whole number or a whole negative number. 6.782 is the answer but because we have to put it into an integer I rounded it to 7.

Answer:

144

Step-by-step explanation:

In a regular decagon like the one shown in the picture each angle is 144 degrees and it all adds up to 1,440. If you want proof search up "angle of a decagon"

20

Step-by-step explanation:

you do 3000 divided by 150

The experimental probability is 4/5 if they randomly selected 6 blue, 4 yellow, 2 red, 3 green, and 5 purple marbles.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Total number of marbles = 6+4+2+3+5 = 20

Total number of marbles except yellow = 20 - 4 = 16

The experimental probability = 16/20

or

= 4/5

Thus, the experimental probability is 4/5 if they randomly selected 6 blue, 4 yellow, 2 red, 3 green, and 5 purple marbles.

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