URGENT: how many cubes with side lengths of 1/3 cm does it take to fill the prism

Answer:

[tex]log_3_2(5)=\frac{1}{5} k[/tex]

Step-by-step explanation:

Let's start by using change of base property:

[tex]log_b(x)=\frac{log_a(x)}{log_a(b)}[/tex]

So, for [tex]log_2(5)[/tex]

[tex]log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)[/tex]

Now, using change of base for [tex]log_3_2(5)[/tex]

[tex]log_3_2(5)=\frac{log(5)}{log(32)}[/tex]

You can express [tex]32[/tex] as:

[tex]2^5[/tex]

Using reduction of power property:

[tex]log_z(x^y)=ylog_z(x)[/tex]

[tex]log(32)=log(2^5)=5log(2)[/tex]

Therefore:

[tex]log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)[/tex]

As you can see the only difference between (1) and (2) is the coefficient [tex]\frac{1}{5}[/tex] :

So:

[tex]\frac{log(5)}{log(2)} =k\\[/tex]

[tex]log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k[/tex]

495 students in 7th grade do not ride a car to school

Step-by-step explanation:

Number of students walking or riding a bike = 8

Number of students who ride a car = 15

Number of students who take the bus = 25

Total students in the sample = 48

⇒ Percentage of students who rides a car in the sample = 15/48 × 100 = 31.25%

Total number of students = 720

Number of students who ride a car = 31.25/100 × 720

                                                           = 225

Number of students who do not ride a car to school = 720 - 225 = 495

Answer:

b

Step-by-step explanation:

1 yard = 0.9144 meters

1 yard * 10 = 0.9144 meters * 10

10 yards = 9.144 meters

9.144 meters

Answer:

x = 27°

Step-by-step explanation:

You know that both sections together add up to 180°, so you want to set up an equation:

2x + 99 + x = 180

3x + 99 = 180

3x = 81

x = 27°

Answer:

1.631

1.861

-2.322

Step-by-step explanation:

The value of logarithm log₅20 is 1.861.

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

The given logarithms are log₃6, log₅20 and log₂(1/5).

We have change of base formula: logₐx= logₙx/logₙa

Here, log₃6 = log₁₀6/log₁₀3

= 0.7781/0.4771

= 1.6308

≈ 1.631

log₅20 = log₁₀20/log₁₀5

= 1.3010/0.6989

= 1.8614

≈ 1.861

log₂(1/5) = log₁₀(1/5)/log₁₀2

= -0.6989/0.3010

= -2.3219

≈ -2.322

Therefore, the value of logarithm log₅20 is 1.861.

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Answer:74 degrees

Step-by-step explanation:

You would have to add the starting point to the current temperature.(51+23=74)

Answer:

2.875 hours 2 5/8 plus 1/4 equals 2.875

Answer:

A = 7,241.2454026112  square mm.

or exact : A = 2,304.96‬*π  sq mm

Step-by-step explanation:

Cylinder formula:   A = π* r^2 +  2 *π * r* h  +  π*r^2

is the surface area.

d = 2r = 39.2 mm

h = 39.2 mm

r = 19.6 mm

A = π* r^2 +  2 *π * r* h  +  π*r^2

A = 2* π* (19.6)^2  + 2π (19.6)*(39.2)  

A = 2,413.748467537 +  4,827.496935

A = 7,241.2454026112  square mm.

or

A =  2*pi* (768.32‬ + 384.16)

A = 2*1,152.48‬* pi

A = 2,304.96‬*π  sq mm

[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]

Question :-

Answer :-

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{19.6 \: mm}}\put(9,17.5){\sf{39.2 \: mm}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the diameter of the cylinder is 39.2 mm. Thus, the radius of the cylinder is 19.6 mm. The height of the cylinder is 39.2 mm. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(19.6 \: mm)^2 + (2)(3.14)(19.6 \: mm)(39.2\:mm) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(384.16 \: mm^2) + (2)(3.14)(768.32\:mm^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(1206.2624 \: mm^2) + (2)(2412.5248 \: mm^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2412.5248 \: mm^2 + 4825.0496 \: mm^2 [/tex]

[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 7238 \: mm^2 \: (nearest\:tenth)}[/tex]

Therefore :-

[tex]\\[/tex]

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Have a great day! <33

Answer:

Therefore 0.006 inches of rain will have fallen after 2 minutes.

Step-by-step explanation:

Given that,

y = 0.003x

where y is the number of inches of rain after x minutes.

To find the number of inches of rain after 2 minutes, we plug x = 2 minutes in above model equation.

∴ y= 0.003×2

     =0.006

Therefore 0.006 inches of rain will have fallen after 2 minutes.

After 2 minutes, 0.006 inches of rain will have fallen based on the equation y = 0.003x. This calculation involves substituting x with 2 and multiplying by 0.003.

To determine how many inches of rain will fall after 2 minutes using the given equation y=0.003x, we substitute x with 2.

So, the number of inches of rain that will have fallen after 2 minutes is 0.006 inches.

Answer:

1920.5

Step-by-step explanation:

Final answer:

To find the volume of a cone with specific dimensions, use the formula V = 1/3 π r² h. Substitute the given values for radius and height, then calculate the volume rounded to the nearest tenth.

Explanation:

The volume of a right circular cone can be found using the formula V = 1/3 × π × r² × h, where r is the radius and h is the height of the cone.

Plugging in the values (r = 9.6 cm, h = 19.9 cm) gives V = 1/3 × 3.142 × 9.62 × 19.9 = 200.5 cm³

Answer:

3.64 Km.

Step-by-step explanation:

Given,

Total population = 20,000 people

Population density = 480 people per square kilometer

Area of the circle town

[tex]A = \dfrac{20000}{480}[/tex]

[tex]A = 41.667\ km^2[/tex]

Radius of the circle town

[tex]\pi r^2 = 41.667[/tex]

[tex]r = 3.64\ km[/tex]

Hence, the radius of circle town is equal to 3.64 Km.

Answer:

3.64

Step-by-step explanation:

Answer:

Maximum width of image that can be viewed clearly on the cylindrical screen is 10 ft

Step-by-step explanation:

Here we have

Circumference of screen = 2πr = 120 ft

Angle that can be viewed horizontally either side of focus = 15°

Total angle view = 30°

Size of image that can be viewed = Object within 30° of focus

Maximum width of image that can be viewed clearly = Perimeter of 30° arc section of cylinder

Maximum width of image that can be viewed clearly = 30/360×120 ft = 10 ft.

Maximum width of image that can be viewed clearly on the cylindrical screen = 10 ft.

Answer:

36 Yellow pieces

Step-by-step explanation:

-Given the total number of pieces is 80 and the probability of choosing a yellow piece at random is 0.45.

-To find the number of yellows pieces in the container, we multiply its probability by the total number of pieces;

[tex]n_y=P(yellow)\times n\\\\=0.45\times 80\\\\=36[/tex]

Hence, the total number of yellow pieces is 36

Final answer:

To find the total number of yellow game pieces in the container, we can use the given probabilities to calculate the number of yellow pieces. By setting up equations based on the information provided, we determine that there are 8 yellow game pieces in the container.

Explanation:

Let's first calculate the total number of game pieces in the container.

Let x be the total number of yellow game pieces. The total number of game pieces is 80.

Given that the probability of choosing a green piece is 0.2 and the probability of choosing a yellow piece is 0.45:

Let the number of green pieces be (80 - x), so 0.2(80 - x) = 4 - 0.2x

Now, we know the number of yellow pieces is x, so 0.45x = 0.45x

Solving the equations, we get x = 8, thus there are 8 yellow game pieces in the container.

Answer:

8 (square root) 10^3x

Step-by-step explanation:

mark me as brainliest pls

§ALEX§

Answer:

0.07,

0.7,

7.0

That is the answer

Answer:0.07,0.7,7.0

Step-by-step explanation:

Answer:

Headband: 15.98 in.

Wristband: 8.63 in.

Step-by-step explanation:

In this problem, we call:

h = the amount of fabric used for each headband

w = the amount of fabric used for each wristband

We are told that:

Sean uses 671.16 in at on headbands for 39 players and three coaches, so the total number of headbands made is 42

Therefore, we can write

[tex]671.16 = 42 h[/tex]

And solving for h, we find

[tex]h=\frac{671.16}{42}=15.98 in.[/tex]

Then we also know that Sean uses 336.57 in the fabric on wristbands just for the players, so he produced 39 wristbands; so we can write:

[tex]336.57 = 39w[/tex]

And solving for w,

[tex]w=\frac{336.57}{39}=8.63 in.[/tex]

Answer: b & c

I got the answer right on my quiz

The following statements are true:

- To begin converting the equation to standard form, subtract 36 from both sides.

- To complete the square for the x terms, add 4 to both sides.

- The center of the circle is at (-2, 3).

- The radius of the circle is 7 units.

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

The area of a circle is πr².

We have,

To convert the equation to standard form, we need to complete the square for both the x and y terms.

x² + y² + 4x - 6y - 36 = 0

x² + 4x + y² - 6y = 36

(x² + 4x + 4) + (y² - 6y + 9) = 49

(x + 2)² + (y - 3)² = 7²

So the center of the circle is at (-2, 3) and the radius of the circle is 7 units.

Therefore, the following statements are true:

- To begin converting the equation to standard form, subtract 36 from both sides.

- To complete the square for the x terms, add 4 to both sides.

- The center of the circle is at (-2, 3).

- The radius of the circle is 7 units.

And,

The statement "The center of the circle is at (4.-6)" is false, and the statement "The radius of the circle is 49 units" is also false.

Thus,

The following statements are true:

- To begin converting the equation to standard form, subtract 36 from both sides.

- To complete the square for the x terms, add 4 to both sides.

- The center of the circle is at (-2, 3).

- The radius of the circle is 7 units.

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Answer:

The plot coordinates are (3,3).

Step-by-step explanation:

Given:

A fucntion f(x) and its inverse is f-1(x)

To find :

The plot of the coordinates for the intersection.

Solution:

Now we know that inverse fucntion is changing the y=f(x) and then

changing to x to y and y to x

So given function is f(x)

Inverse function is y,

But value of inverse function is f-1(x)

So y=f(x)=f-1(x)

Therefore it becomes

y=x

Hence the value is y=x coordinates

i.e. (3,3)

Answer:

An apple costs $2.25. A mango costs $1.25.

Step-by-step explanation:

Let a = price of 1 apple.

Let m = price of 1 mango.

Cameron:

4 apples + 7 mangoes ----> total $17.75

4a + 7m = 17.75

Gavin:

2 apples + 5 mangoes ----> total $10.75

2a + 5m = 10.75

We have a system of 2 equations in 2 unknowns.

4a + 7m = 17.75

2a + 5m = 10.75

We can use the elimination method to eliminate the variable a. Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations.

           4a + 7m = 17.75

(+)       -4a - 10m = -21.5

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

                    -3m = -3.75

Divide both sides by -3.

m = 1.25

A mango costs $1.25.

Now we use the first equation and substitute 1.25 for m and solve for a.

4a + 7m = 17.75

4a + 7(1.25) = 17.75

4a + 8.75 = 17.75

4a = 9

a = 2.25

An apple costs $2.25.

Answer: An apple costs $2.25. A mango costs $1.25.

Answer:

2.25 ; 1.25

Step-by-step explanation:

4A + 7M = 17.75

2A + 5M = 10.75

2A = 10.75 - 5M

4A = 21.5 - 10M

21.5 - 10M + 7M = 17.75

3.75 = 3M

M = 1.25

4A = 21.5 - 10(1.25)

4A = 9

A = 2.25

62 units is the answers

Step-by-step explanation:

The correct answer is C) 68 units². The net to compute the surface area of the three-dimensional figure is C) 68 units².

To compute the surface area of a three-dimensional figure, one must consider all the faces that make up the shape. The net of a three-dimensional figure provides a two-dimensional representation of all these faces. By calculating the area of each face and summing them up, we can find the total surface area.

Let's assume the net provided shows a figure composed of rectangles and triangles. We will calculate the area of each face as follows:

1. For rectangles, the area is given by the formula A = length × width.

2. For triangles, the area is given by the formula A = 1/2  × base × height.

Let's denote the lengths of the sides of the rectangles as l and w, and the base and height of the triangles as b and h, respectively.

Now, let's calculate the area of each face:

- Rectangle 1: A1 = l ×  w

- Rectangle 2: A2 = l ×  w (assuming it has the same dimensions as Rectangle 1)

- Triangle 1: A3 = 1/2 × b × h

- Triangle 2: A4 = 1/2 ×  b ×  h (assuming it has the same dimensions as Triangle 1)

The total surface area (SA) is the sum of the areas of all faces:

SA = A1 + A2 + A3 + A4

SA = (l × w) + (l ×  w) + (1/2 × b ×  h) + (1/2×  b ×  h)

SA = 2lw + bh

SA= 2*5*3+19*2

SA=68

After performing these calculations with the given measurements from the net, we would find that the total surface area is 68 units².

Therefore, the correct answer is C) 68 units²."

Answer:

C. 9

Step-by-step explanation:

Mulitply .20 by 45

Answer:

C. 9

Step-by-step explanation:

20%- 0.2

multiply 0.2 and 45

Your answer is 9

Answer:

A

Step-by-step explanation:

The rest are incorrect

A solution is a homogeneous mixture composed of a solute dissolved in a solvent. It can be separated by passing it through a filter.

A solution is a homogeneous mixture composed of a solute dissolved in a solvent. From the given options, property (c) is most characteristic of a solution. A solution can be separated by passing it through a filter, which removes the solute particles, resulting in a purified solvent. Gravity does not separate the parts of a solution, and the average diameter of solute particles can vary depending on the nature of the solute. Additionally, the composition of a solution is uniform throughout, so there is no distinction between the top and bottom layers.

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Answer:

28.97 feet

Step-by-step explanation:

Please refer to the attached image for explanations

Answer:

The answers is in the problem 30 cubes

The total number of cubes are there in the box will be 75. And the table is completed below.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Then the value of x is given as,

x + x + 0.4 = 1

2x = 0.6

x = 0.3

The table is given below.

Color                       Blue              Red            Yellow

Probability               0.4                0.3                0.3

If the number of blue cubes is 30. Then the total number of cubes is given as,

Total cubes = 30 / 0.4 = 75

The total number of cubes are there in the box will be 75.

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Answer:

for this we'll have to get 4/3

Multiply 3 from 4 which will give us 4/7 x 4/3. That should give us 1 hour: 16/ 21 dresses

hope this helps lmk :)

Answer:

52% will vote for republican candidate

Step-by-step explanation:

If there are 1000 registered voters and 520 of them will vote for Republican candidate

Then the proportion of this voters that will vote for republican candidate can be give as

(520/1000)*100% = 52%