Round 67,891 to the nearest hundred

Answer: 0.3, \(\frac{6}{20}\), \(\frac{3}{10}\), 30%

Step-by-step explanation:

    We will divide wanted outcomes by possible outcomes.

          \(\displaystyle \frac{\text{wanted outcomes, green cubes}}{\text{possible outcomes, cubes in bag}} =\frac{6}{20}\)

    Now, we will find four values equivalent to \(\frac{6}{20}\). See attached.

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

OOOOOOOOOOOO  (12)

Divide by two (have two equal groups, that together, equal 12)

OOOOOO (6)  and  OOOOOO (6)

Hope this helps :)

(Brainliest?)

Answer:4,2

Step-by-step explanation: is u divide both side with 2 that will be your answer

Answer:

Your answer is: Midpoint =  (0.5, -0.5)

Step-by-step explanation:

(xa+xb/2 , ya+yb/2)

Plug the points ---> (5,2)(-4,-3)

= (1/2 , -1/2)

In decimal form it would be: (0.5,-0.5)

Hope this helped : )

For a well with diameter of 2 ft, the approximate head in the pumped well for steady-state condition and approximate drawdown is 61.5770 ft and 48.42 ft respectively. The computed value of transmissivity is 1516.8 ft²/day.

We have a well with 2 feet diameter penetrates vertically through a confined aquifer 50 ft thick. Well is pumped at 500 gpm. The drawdown in a well 50 ft away is 10 ft. The Hydrant capacity, Q

= 500 gpm

= 1.11405 ft³/s = 96250.032 ft³/day

\(k = \frac{ Q}{2πb( s_1 - s_2) }ln(\frac{ r_1}{r_2})\)

Substitute all known values in above formula, \(= \frac{96250.032 ft³/day }{2π×50( 10 - 3) ln(\frac{ 100}{50})}\)

= 3.51 × 10 ft/s

= 30.33 ft/day

Now, transmissivity, T = k× b

= 30.33 ft/day × 50 ft

= 1516.8 ft²/day

The approximate head in the pumped well for steady-state condition, \(h_r= r_1 - r_w \) = 100 - 3 = 97

\(h_w = h_2 - (\frac{ Q}{2πb}) ln(\frac{r_2}{r_w})\)

\(= 97- \frac{96250.032 \: ft³/day }{2π×50}ln(\frac{100}{3})\)

= 61.5770 ft

The approximate drawdown in the well,

\(s_w = r_2 - h_w \)= 100 ft - 61.5770 ft

= 48.42 ft

Hence, required value is 48.42 feet.

For more information about diameter, visit :

https://brainly.com/question/30460318

#SPJ4

The value for each conversion is: 12,000 g = 12 kg 120 cm = 1200 mm 2 L = 2000 mL 1,200 cm = 12 m 0.12 m = 120 mm.

Here are the completed conversions using the provided numbers:

1. 12,000 g = 12 kg (To convert grams to kilograms, divide by 1,000)

2. 120 cm = 1,200 mm (To convert centimeters to millimeters, multiply by 10)

3. 1.2 L = 1,200 mL (To convert liters to milliliters, multiply by 1,000)

4. 1,200 cm = 12 m (To convert centimeters to meters, divide by 100)

5. 0.12 m = 120 mm (To convert meters to millimeters, multiply by 1,000)

To know more about conversions refer here:

https://brainly.com/question/31796057

#SPJ11

Answer:

1.5 miles

Step-by-step explanation:

Since Joan need to run 5 miles without stopping and already runs 3.5 miles without stopping, the number of miles more she must run non-stop to achieve her goal of 5 miles without stopping is the difference between her 5 mile goal and her current run of 3.5 miles.

So, number of miles she must run = 5 miles - 3.5 miles = 1.5 miles.

So, Joan must run 1.5 miles more non-stop to achieve her goal.

Answer: 220 feet tall

Step-by-step explanation:

1. Draw!

2. Use trigonometric ratios to solve for the height (Remember SOH CAH TOA)

Answer:

The building is 220 ft tall

Step-by-step explanation:

The equation that could be used to solve the problem q -22 = 24. The answer is 46. The correct option is D

From the question, we are to determine which equation could be used to solve the given word problem.

The statement is

Twenty-two less than a number is twenty-four

If the number is q, twenty-two less than a number is

q -22

Thus,

Twenty-two less than a number is twenty-four means

q -22 = 24

This is the equation that could be used to solve the problem

Solving the problem

q -22 = 24

Add 22 to both sides

q -22 +22 = 24+22

q = 46

Hence, the equation that could be used to solve the problem q -22 = 24. The answer is 46. The correct option is D

Learn more on Linear equations here: https://brainly.com/question/1682776

#SPJ1

Answer:

4

Step-by-step explanation:

Hi there!

To find f(-6), find the value of y when x = -6.

On the graph, we can identify y to be 4 when x is -6.

I hope this helps!

Answer: Not 100% sure but I think it is p=7

Answer:

8+8p

Step-by-step explanation:

you use distributive property! Multiply 8 by 1 and 8 by p and add it!

(1+p)8

8+8p

Answer:

50i

Step-by-step explanation:

Check the picture below.

The length of YZ is 8√5.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is given as πr².

We have,

Line XY and the tangent to the circle at Z intersect at W.

WX = 4, WZ = 8, and WY is perpendicular to WZ.

Now,

From the tangent and secant segment length theorem, we get,

WZ² = WY x WX

8² = WY x 4

WY = 64/4

WY = 16

Now,

From the Pythagorean theorem, we get,

YZ² = WY² + WZ²

YZ² = 16² + 8²

YZ² = 256 + 64

YZ² = 320

YZ = √(320)

YZ = √(64 x 5)

Yz = 8√5

Thus,

YZ is 8√5.

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ2

(2,9)

this needs 20 characters

Answer:

See below

Step-by-step explanation:

4 years simple interest at  .08  interest

  650  *  .08   *  4 =  $ 208  in interest

       his total amount owed will be this PLUS the amount he borrowed

            208 + 650 = 858 dollars

IF he pays 150 back at the end of each year

   First year    650 * 1.08  - 150 = 552 owed      interest = 52

     Second year   552 * 1.08 - 150 = 446.16       interest = 44.16

      third year   446.16 * 1.08 - 150 =  331.85      interest = 35.69

       fourth year   331.85 * 1.08 - 150 = 208.40  interest = 26.55

                           total interest after 4 years = 158.40  

                                       (and he still owes 208.40)

The equation of parabola with vertex at (2, 4) and directrix y = 7 is (x - 2)^2 = -12(y - 4)

We know that the equation of standard parabola is (x - h)^2 = 4p(y - k), where p≠ 0.

here, the vertex =  (h, k)

and the directrix is the line y = k - p.

We have been given  vertex at (2, 4) and directrix y = 7

so, h = 2, k = 4

k - p = 7

4 - p = 7

- p = 7 - 4

p = -3

so, equation of parabola would be, (x - 2)^2 = 4(-3)(y - 4)

(x - 2)^2 = -12(y - 4)

Therefore, the equation of parabola with vertex at (2, 4) and directrix y = 7 is (x - 2)^2 = -12(y - 4)

Learn more about equation of parabola here:

https://brainly.com/question/4074088

#SPJ1

Answer:  \(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

Step-by-step explanation:

When you subtract b/2a from both sides, you end up with the Quadratic Formula.

Answer:

\(\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}\)

Step-by-step explanation:

\(\displaystyle x+\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}\)

Subtract \(\frac{b}{2a}\) from both sides.

\(\displaystyle x+\frac{b}{2a} -\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}-\frac{b}{2a}\)

\(\displaystyle x=\frac{ \± \sqrt{b^2-4ac} -b}{2a}\)

\(\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}\)

This is a quadratic formula.

Answer:

The circle's center is at (5, -2)

The radius is 4

Equation is

(x -5)^2 + (y - - 2)^2 = 4^2

(x -5)^2  + (y +2)^2 = 16

http://www.1728.org/circle.htm

Step-by-step explanation:

Answer:

-44

Step-by-step explanation:

Using distribute property of multiplication

=> \(7\sqrt{5} + (\sqrt{5} )^2-49-7\sqrt{5}\)

(\(7\sqrt{5}\) will be cancelled with each other)

=> 5 - 49

=> -44

Answer: Constructing a circle of any arbitrary radius.

Step-by-step explanation:

When trying to construct an inscribed square and also an inscribed equilateral triangle, one step which is same for both procedures is the construction of a circle with an arbitrary radius because both shapes would be inscribed inside the circle been drawn. So the step involving the drawing of the circle is same for both.

Answer: Set the compass width to the radius of the circle.

Step-by-step explanation:

91 divided by 7 is 13 so k is 13

Step-by-step explanation:

Answer:

x 13      y 84

Step-by-step explanation:

Using the volume x³ + 10x² + 19x  - 30, the missing side of the rectangular prism is (x + 6)

Two sides of a rectangular prism are x + 5 and x - 1. The volume of the rectangular prism is given as x³ + 10x² + 19x  - 30.

Let's find the missing side of the rectangular prism.

Therefore,

volume of a rectangular prism = lwh

where

Therefore,

volume of the prism = x³ + 10x² + 19x  - 30

Let's factorise it to find the missing side length

x³ + 10x² + 19x  - 30  = 0

(x - 1)(x² + 11x + 30)

let's factorise x² + 11x + 30

x² + 11x + 30

x² + 5x + 6x + 30

x(x + 5) + 6(x + 5)

(x + 6)(x + 5) = 0

Therefore, the side length of the rectangular prism are (x - 1), (x + 5) and (x + 6)

learn more on volume here: https://brainly.com/question/27989461

#SPJ1

The variable x represents the number of bags filled with leaves by Paula, and q(x) represents the number of pounds of leaves collected in those bags. Each bag can hold 18 pounds of leaves when full.

To determine the relationship between the number of bags filled and the total pounds of leaves collected, we can express it as q(x) = 18x. This equation shows that the number of pounds of leaves collected in full bags, q(x), is directly proportional to the number of bags filled, x. Each bag can hold 18 pounds of leaves, so for every bag filled, 18 pounds of leaves are collected.

By plugging in different values for x, we can calculate the corresponding values of q(x) to determine the total pounds of leaves collected in full bags. For example, if Paula has filled 5 bags, the total pounds of leaves collected would be q(5) = 18 * 5 = 90 pounds.

Therefore, the relationship between the number of bags filled and the total pounds of leaves collected can be expressed as q(x) = 18x, where x represents the number of bags filled.

To learn more about pounds click here :

brainly.com/question/29181271

#SPJ11

the sorted list from smallest to largest using the selection sort algorithm is: 1, 2, 6, 10, 25, 30, 45, 50, 58, 86.

To sort the list 6, 45, 10, 25, 58, 2, 50, 30, 86, 1 using the selection sort algorithm from smallest to largest, we need to repeatedly select the smallest element from the unsorted portion of the list and move it to the sorted portion of the list.

After the first iteration of the outer for loop, the smallest element in the list, 1, is selected and moved to the beginning of the list. The list becomes: 1, 45, 10, 25, 58, 2, 50, 30, 86, 6.

After the second iteration of the outer for loop, the smallest element in the unsorted portion of the list, 2, is selected and moved to the second position of the list. The list becomes: 1, 2, 10, 25, 58, 45, 50, 30, 86, 6.

After the third iteration of the outer for loop, the smallest element in the unsorted portion of the list, 6, is selected and moved to the sixth position of the list. The list becomes: 1, 2, 6, 25, 58, 45, 50, 30, 86, 10.

After the fourth iteration of the outer for loop, the smallest element in the unsorted portion of the list, 10, is selected and moved to the ninth position of the list. The list becomes: 1, 2, 6, 10, 58, 45, 50, 30, 86, 25.

After the fifth iteration of the outer for loop, the smallest element in the unsorted portion of the list, 25, is selected and moved to the fifth position of the list. The list becomes: 1, 2, 6, 10, 25, 45, 50, 30, 86, 58.

After the sixth iteration of the outer for loop, the smallest element in the unsorted portion of the list, 30, is selected and moved to the eighth position of the list. The list becomes: 1, 2, 6, 10, 25, 45, 50, 30, 86, 58.

After the seventh iteration of the outer for loop, the smallest element in the unsorted portion of the list, 45, is selected and moved to the seventh position of the list. The list becomes: 1, 2, 6, 10, 25, 30, 50, 45, 86, 58.

After the eighth iteration of the outer for loop, the smallest element in the unsorted portion of the list, 50, is selected and moved to the eighth position of the list. The list becomes: 1, 2, 6, 10, 25, 30, 45, 50, 86, 58.

After the ninth and final iteration of the outer for loop, the smallest element in the unsorted portion of the list, 58, is selected and moved to the ninth position of the list. The list becomes: 1, 2, 6, 10, 25, 30, 45, 50, 58, 86.

Therefore, the sorted list from smallest to largest using the selection sort algorithm is: 1, 2, 6, 10, 25, 30, 45, 50, 58, 86.

Learn more about Sorting here

https://brainly.com/question/15862081

#SPJ4

Torsion refers to the twisting of a structural member due to the application of torque. Pure torsion occurs when a structural member is subjected to torsional loading only. It is analyzed using assumptions such as linear elasticity, circular cross-sections, and small deformations. The torsion equation relates the applied torque, the polar moment of inertia, and the twist angle of the member. However, this formula has limitations in cases of non-circular cross-sections, material non-linearity, and large deformations.

Torsion is the deformation that occurs in a structural member when torque is applied, causing it to twist. In pure torsion, the member experiences torsional loading without any other external forces or moments acting on it. This idealized scenario allows for simplified analysis and calculations. The assumptions made in pure torsion analysis include linear elasticity, which assumes the material behaves elastically, circular cross-sections, which simplifies the geometry, and small deformations, where the twist angle remains small enough for linear relationships to hold.

To analyze pure torsion, engineers use the torsion equation, also known as the Saint-Venant's torsion equation. This equation relates the applied torque (T), the polar moment of inertia (J), and the twist angle (θ) of the member. The torsion equation is given as T = G * J * (dθ/dr), where G is the shear modulus of elasticity, J is the polar moment of inertia of the cross-section, and (dθ/dr) represents the rate of twist along the length of the member.

However, the torsion equation has its limitations. It assumes circular cross-sections, which may not accurately represent the geometry of some structural members. Non-circular cross-sections require more complex calculations using numerical methods or specialized formulas. Additionally, the torsion equation assumes linear elasticity, disregarding material non-linearity, such as plastic deformation. It also assumes small deformations, neglecting cases where the twist angle becomes significant, requiring the consideration of non-linear relationships. Therefore, in practical applications involving non-circular cross-sections, material non-linearity, or large deformations, more advanced analysis techniques and formulas must be employed.

To learn more about torsion click here: brainly.com/question/30612977

#SPJ11

The dilation is centered at the origin and has a scale factor of 0.5.

Here are the steps to find the image coordinates using a dilation centered at the origin with a scale factor of 0.5:

Write down the coordinates of the pre-image points.

P(-4, 2), L(2, 4), A(2, -4), Y(-4, -2)

Multiply each coordinate by the scale factor of 0.5.

P' = (0.5 × -4, 0.5 × 2) = (-2, 1)

L' = (0.5 × 2, 0.5 × 4) = (1, 2)

A' = (0.5 × 2, 0.5 × -4) = (1, -2)

Y' = (0.5 × -4, 0.5 × -2) = (-2, -1)

Write down the image coordinates.

P'(-2, 1), L'(1, 2), A'(1, -2), Y'(-2, -1)

Therefore, the dilation centered at the origin with a scale factor of 0.5 maps the points P(-4, 2), L(2, 4), A(2, -4), Y(-4, -2) to their respective images P'(-2, 1), L'(1, 2), A'(1, -2), Y'(-2, -1).

Find out more on dilation here: https://brainly.com/question/20482938

#SPJ1

Image transcribed:

Use coordinate notation to describe the dilation. Express the scale factor as a decimal if necessary.

Answer:x=9

Step-by-step explanation:

The square root is the opposite of squaring a number. When you square a number you times it by itself. So if you square 3 you get 3x3=9. Square root is finding what number you multiply times itself to get 9...

Answer:

The square root was whatever x was, multiplied by itself. So if y = 3, then x is 9.

Step-by-step explanation:

The square root of 9 is 3. You can find the square root of a number easier when it has the same factors, like 9 (3x3), 16 (4x4), etc. If you have any questions please comment.

Answer:

Step-by-step explanation:

Given function:

The answer choices give us two ordered pairs.

The first pair has x = 0 for all answer options, let's check what y- coordinate corresponds to this:

This is option B

Let's verify the second point of this option:

We can confirm this point as well. So correct choice is B