Andrei wants to fill a glass tank with spherical marbles and then fill the remaining space with water.


The variable "w" models the amount of water (in liters) Andrei uses if he uses n marbles.


w = 32 - 0.05n


What is the volume of each marble?

A triangle is a three-edged polygon with three vertices. The length of the sides of the triangle is 5, 5, and 5√2.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Since the two angles are equal, therefore, the length of the two legs of the isosceles right triangle will be equal and will be less than the hypothenuse.

Hence, the length of the sides of the triangle is 5, 5, and 5√2.

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Answer:

A 90 percent level can be obtained with a smaller sample, which usually translates into a less expensive survey. To obtain a 3 percent margin of error at a 90 percent level of confidence requires a sample size of about 750. For a 95 percent level of confidence, the sample size would be about 1,000.

Answer:

x = -45

Step-by-step explanation:

(3/5)x - 15 = (6/5)x + 12

(6/5)x - (3/5)x = -15 - 12

(3/5)x = -27

0.6x = -27

x = (-27)/0.6

x = -45

Answer:

Step-by-step explanation:

Formulas

d1 = 20 + 50*t                       This is dump truck #1

d2 = 70*t                               This is dump truck #2

d1 = d2                                  This is given in the problem

Solution

if d1 = d2 then you get 20+50t = 70t as your working equation.

20 + 50t = 70t                        Subtract 50t from both sides

20 +50t-50t = 70t-50t           Combine

20 = 20t                                  Divide both sides by 20

20/20 = 20t/20                      

1 = t

Answer

after 1 hour Dump Truck 2 will catch dump truck 1

use pythagoras theorem to find the missing side, then find the an angle using the sine rule. at this point you will only have one angle left. using the law that sum of all angles of a triangle add up to 180⁰, you can do 180⁰- ( [the angle you found by the sine rule] + 90⁰) hope this wasn't too complicated :)

i did (b) as an example attatched (2 photos bc it couldn't fit it all)

Answer: Heyaa! ^^

Your Answer when multiplied is.. 6x²−11x−10

Step-by-step explanation:

                    - FOIL EXPLANATION -

It stands for "First, Outer, Inner, Last"

· multiplying the First terms,

· multiplying the Outer terms,

· multiplying the Inner terms, and

· multiplying the Last terms

Hopefully this helps you! ~

Answer:

The way is in the steps.

Step-by-step explanation:

y = sin(x) has a period of 2π and amplitude of 1.

a) y = a * sin b(x - c) - d

y = 7/2 * sin 2/3(x - π/4) - 2

b) amplitude is affected by a = 7/2 , so the amplitude is 7/2.

The range is (-5.5 , 1.5) because looking at the graph, but also by making a table to help find the range.

c) Period = 2π/b

Period = 2π/2/3 = 3π

d) Horizontal Shift left/right is dependent on c.

c = π/4 , so Horizontal Shift to the Right by π/4

Vertical Shift up/down is dependent on d.

d = -2 , so Vertical down shift by 2.

Answer:

hre is your tense chart

Step-by-step explanation:

mark me brainliest

Answer:

2.5cm

Step-by-step explanation:

hope it helps. if there's any question feel free to ask me I be ready to respond appropriately bye.

The altitude of the trapezoid is approximately 2.5 cm.

Here, we have,

To find the altitude of the trapezoid, we can use the formula for the area of a trapezoid:

Area = (1/2) * (sum of the bases) * altitude

Given that

one base (a) is 1 cm, the other base (b) is 5 cm, and the area is 7.5 cm², we can plug these values into the formula and solve for the altitude:

7.5 cm² = (1/2) * (1 cm + 5 cm) * altitude

Simplifying:

7.5 cm² = (1/2) * 6 cm * altitude

7.5 cm² = 3 cm * altitude

Now, we can isolate the altitude by dividing both sides of the equation by 3 cm:

altitude = 7.5 cm² / 3 cm

altitude ≈ 2.5 cm

Therefore, the altitude of the trapezoid is approximately 2.5 cm.

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The similarity ratio by taking the cube root of each volume is 8/13,  ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.

It is defined as a three-dimensional space enclosed by an object or thing.

Part 1:

Volume of larger solid = (512) cubic cm

Volume of small solid = 2197 cubic cm

Ratio of the volumes = 512/2197

Taking cube root:

Similarity ratio = 8/13

Part 2:

Similarity ratio by taking the cube root of each volume = 8/13

Taking the square of the above ratio:

= 64/169

Part 3:

64/169  = 960/SA(larger)

SA(larger) = 2535 square cm

Thus, the similarity ratio by taking the cube root of each volume is 8/13,  ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.

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[tex]m_{\overline{AB}}=\frac{0-0}{1-5}=0\\m_{\overline{CD}}=\frac{2-2}{3-7}=0\\\\\therefore \overline{AB} \parallel \overline{CD} \text{ because } m_{\overline{AB}}=m_{\overline{CD}}[/tex]

[tex]m_{\overline{BC}}=\frac{2-0}{7-5}=1\\m_{\overline{AD}}=\frac{2-0}{3-1}=1\\\\\therefore \overline{BC} \parallel \overline{AD} \text{ because } m_{\overline{BC}}=m_{\overline{AD}}[/tex]

As ABCD has two pairs of opposite parallel sides, ABCD is a parallelogram.

The statement that can never be true is the data set contains a value of 3.

A box plot is used to study the distribution of a dataset. The box plot consists of two lines and a box. The two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number.

minimum number = 8

maximum number = 22

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Answer:

-1 and -4

Step-by-step explanation:

-1 + -4 = -5

-1 times -4 = 4

give brainiest please!

hope this helps ;)

When a problem has no solution you'll end up with a statement that's false. For example: 0=1 This is false because we know zero can't equal one. Therefore we can conclude that the problem has no solution.

Answer: A problem with no solution is a problem with no applicable answer or the answer is not a real number or x ∉ R

Huw's answer of 9 days is incorrect because more guests would finish the food in less time so the number of days for 30 guests is less than 6 days.

The number of days that the food can last 30 guests is 4 days.

More guests would eat the food faster which means that it would be finished in less days than the 6 days used by 20 guests.

To find the days the food would last 30 guests, use the inverse proportion formula:
= (Number of guests x Number of days food lasts for guests) / New number of guests

= (20 x 6) / 30

= 4 days

Full question is:

The only food provided for guests at Seaview Hotel is breakfast. The hotel has enough food to make breakfast for 20 guests for 6 days. How long would the food last 30 guests? You may assume each guest eats the same amount of food for breakfast.

Without working out the correct answer, explain why Huw’s answer of 9 days is incorrect.

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You are correct that the slope of line AB is 2. To find the slope of the line CD, we can apply the slope formula again (like I assume you did with AB).

[tex]m=\frac{15-7}{4-0}=\boxed{2}[/tex]

Therefore, since the slopes of lines AB and CD are equal, they are parallel

Answer:

- Red

    - Yellow

         - Dress

         - Running

    - Black

         - Dress

         - Running

- Blue

    - Yellow

         - Dress

         - Running

    - Black

         - Dress

         - Running

- Pink

    - Yellow

         - Dress

         - Running

    - Black

         - Dress

         - Running

The vertical angles are always equal in measure.

Vertical angles are angles opposite each other where two lines cross.

Here, As given in definition

All the vertical angles are always equal with each other.

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[tex]\text{She is not correct because}\\\\20\% = \dfrac{20}{100} = \dfrac 2{10} = 0.2 \neq 0.02[/tex]

Answer:

x = ±2

Step-by-step explanation:

Given :

y = 64 - 16x²

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

Add 16x² to each side (take y = 0) :

⇒ 0 + 16x² = 64 - 16x² + 16x²

⇒ 16x² = 64

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

Divide both sides by 16 :

⇒ 1/16 × 16x² = 1/16 × 64

⇒ x² = 4

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

Taking square root on both sides :

⇒ √(x²) = √4

⇒ x = ±2

Answer:

0.0178 is the answer

Answer:

C.  Sphere

Step-by-step explanation:

If you rotate a circle about one of its diameters, it produces the three dimensional shape of a sphere.

See attached diagram.

Answer:

Imaginary Roots

Step-by-step explanation:

The quadratic equation ax^2 + bx + c = 0 is written in standard form, and the formula is

x = [-b ± √(b^2 - 4ac)]/ 2a

Given:

3x2 - 4x + 5 = 0'

Here a = 3, b = -4 and c = 5

Substituting:

x = [-(-4) ± √((-4)2 - 4 × 3 × 5)]/ (2 × 3)

Further Simplification:
x = [4 ± √(16 - 60)]/6                 ----> Discriminant: b^2 - 4ac = -44 < 0.

x = [4 ± √-44]/ 6

Now, we get:

x = [4 ± 2√-11]/ 6

x = [2 ± i √11]/ 3

Therefore, The best description of the roots of the equation 3x2 - 4x + 5 = 0 is imaginary roots.

The quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75

Quotients are result derived from the multiplication of two rational or integers. Given the expression

2.28 × 5.59

Convert to fraction

2.28 × 5.59 = 228/100  ÷  559/100
2.28 × 5.59= 127452/10000

2.28 × 5.59=  12.75

Hence the quotient of  2.28 × 5.59  using compatible numbers is approximately 12.75

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the second one

Step-by-step explanation:

The recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

The sequence is given as:

50,−10,2,....

The above sequence is a geometric sequence, and it has the following parameters:

This means that the product of the current term and -1/5 gives the next term.

i.e.

[tex]a_n = -\frac{a_{n-1} }{5}[/tex]

Hence, the recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

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Answer:

1kg= 1000 g

3 kg=3000 g

so,

3000×11/5=6600 g=6kg 600 g

Answer:

6.6kg

Step-by-step explanation:

11/5 of 3kg mathematically means

11/5 × 3

= 33/5= 6.6kg

are there any answer choices?????

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

6×(5/6)x +6(10)=6(30)

5x +60=180

5x +60-60=180 - 60

5x=180 -60

5x=120

5x/5 =120/5

x=24