Plzz help with this one problem ASAP

Answer:

 a.  1492 kg

  b.  20.8 m

Step-by-step explanation:

Given a tree is initially 20 m high and has a diameter of 0.5 m, you want the mass of the trunk if its density is 380 kg/m³. If it adds a growth ring of 4 mm per year and adds height of 0.2 m in the first year, you want the height of the tree after 5 years, assuming the same amount of wood is added each year.

The volume of the tree trunk is that of a cylinder. The formula is ...

  V = (π/4)d²h

  V = (π/4)(0.5 m)²(20 m) ≈ 3.9270 m³

The mass is the product of volume and density:

  M = Vρ

  M = (3.9270 m³)(380 kg/m³) ≈ 1492 kg

The mass of the tree trunk is about 1492 kg.

In the first year, the diameter of the tree increases by 8 mm, and the height increases by 0.2 m,. This means the volume of the tree increases to ...

  V = (π/4)(0.508 m)²(20.2 m) ≈ 4.0942 m³

The volume increase is the same each year for 5 years, so after 5 years, the volume is ...

  3.9270 m³ + 5(4.0942 -3.9270) m³ ≈ 4.7630 m³

At that time, the diameter is about 0.540 m. Solving the volume equation for the height, we find it to be ...

  h = 4v/(π·d²)

  h = 4(4.7630 m³)/(π·(0.54 m)²) ≈ 20.797 m

The height of the trunk after 5 years is about 20.8 m.

__

Additional comment

We note that the wood added in the first year includes the cylindrical shell represented by the tree ring, and a cylindrical "plug" that is 0.2 m high and equivalent in diameter to the rest of the tree. This seems an odd way for the tree to grow, but may be a reasonable approximation to the actual growth.

The height, diameter, and growth are all given to 1 significant figure. Hence the 4- and 3-significant figures used in the answers may be unsupported by the precision of the given numbers. Keeping 2 significant figures, we might report the initial mass as 1500 kg, and the final height as 21 m.

The graph is drawn by a function formulated to have the correct height at the x-intercept: v(d, h) - (final volume) = 0.

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Answer:

y = 3. last option is correct answer for 2nd question.

Step-by-step explanation:

f(x) just means y.

horizontal asymptote is y = 'something.'

the graph crosses y = 4, so y = 4 cannot be asymptote.

y = 3 is since the graph never quite touches it.

as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.

so the last option is the correct answer.

Known Facts:

Variables:

Let us set up some equations:

Now let us solve the equation:

   b + g =35

   (3/4)g + g = 35

    (7/4)g = 35

     g = 20

Therefore there are 20 girls in a class of 35!

Good day and I hope that helped!

Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

Step-by-step explanation:

9. option d is correct

15. 168 cm

8. part a, square and right angled triangle

18 m² area of the shape

hope this answer helps you dear... take care and may u have a great day ahead!

if u have any doubt feel free to ask dear!

Answer:

31

Step-by-step explanation:

Divide 248 by 8... which equals 31 (8 goes into 8 once and into 24 3 times)

Chen's journey is marked on red

The distance from Santiago at the point of intersection is approximately 52 km

A distance-time graph is a graphical representation of the relationship between the distance traveled by an object and the time it takes to travel that distance.

The mark showing Chen's journey is attached and the point of intersection is traced to get the distance. This distance obtained is approximately 52 km from Santiago

Distance-time graphs are commonly used in physics to represent the motion of objects, and they are useful for analyzing the velocity and acceleration of objects as well.

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9514 1404 393

Answer:

  678

Step-by-step explanation:

The sequence has a first term of 12 and a common difference of 21-12 = 9. The explicit formula for the n-th term is ...

  an = a1 +d(n -1)

For a1 = 12 and d = 9, this is ...

  an = 12 + 9(n -1)

Using 75 for the value of n, we have ...

  a75 = 12 + 9(75 -1) = 12 + 666 = 678

The 75th term is 678.

Answer:

4=No

-3=No

2=Yes

0=No

Step-by-step explanation:

enter enter all the factors into the equation and see which one equals -28 on both sides at the end.

If the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.

Histogram a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.

Given is relative frequency histogram.

Therefore, if the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.

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Answer: none of these

Step-by-step explanation:

Answer:

10in. by 5in.

Step-by-step explanation:

The rectangle is 10 inches long and 5 inches wide.

10in is 5in more than 5in

10x5=50sq in

Answer:

x = - 12 , y = 9

Step-by-step explanation:

(5x + 117) and (3x + 93) are vertically opposite angles and are congruent, so

5x + 117 = 3x + 93 ( subtract 3x from both sides )

2x + 117 = 93 ( subtract 117 from both sides )

2x = - 24 ( divide both sides by 2 )

x = - 12

similarly

(11y + 24) and (7y + 60) are vertically opposite angles and are congruent, so

11y + 24 = 7y + 60 ( subtract 7y from both sides )

4y + 24 = 60 ( subtract 24 from both sides )

4y = 36 ( divide both sides by 4 )

y = 9

Answer:

Step-by-step explanation:

Now we have to,

→ Find the required value of x and y.

We know that,

→ Vertically opposite angles are equal.

Forming the equations,

→ 7y + 60° = 11y + 24°

→ 5x + 117° = 3x + 93°

Let's find required value of y,

→ 7y + 60° = 11y + 24°

→ 7y - 11y = 24° - 60°

→ -4y = -36

→ 4y = 36

→ y = 36/4

→ [ y = 9 ]

Then the value of x will be,

→ 5x + 117° = 3x + 93°

→ 5x - 3x = 93° - 117°

→ 2x = -24

→ x = -24/2

→ [ x = -12 ]

Hence, the value of x is -12.

The solution set of the inequality 2 · x² + 5 · x - 3 > 0 is (- ∞, - 3) ∪ (1 / 2, + ∞).

Herein we find a quadratic inequality, whose solution set can be found by factoring the expression and determine the interval where the expression is greater than zero. Initially, we use the quadratic formula to determine the roots of the quadratic function:

2 · x² + 5 · x - 3 = 0

x₁₂ = [- 5 ± √[5² - 4 · 2 · (- 3)]] / (2 · 2)

x₁₂ = (- 5 ± 7) / 4

x₁ = 1 / 2, x₂ = - 3

Then, the factored form of the inequality is:

(x - 1 / 2) · (x + 3) > 0

In accordance with the law of signs, we must look for that intervals such that: (i) (x - 1 / 2) > 0, (ii) (x + 3) > 0, (ii) (x - 1 / 2) < 0, (x + 3) < 0. Then, the solution set of the quadratic inequality is:

Inequality form - x > 1 / 2 ∨ x < - 3

Interval form - (- ∞, - 3) ∪ (1 / 2, + ∞)

The solution set of the inequality is (- ∞, - 3) ∪ (1 / 2, + ∞).

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Let's say the cost to rent each chair is "x" and the cost to rent each table is "y". Then we can set up two equations based on the given information:

3x + 2y = 21 (for the first rental)

8x + 4y = 45 (for the second rental)

We can simplify the second equation by dividing both sides by 4:

2x + y = 11.25

Now we have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution:

3x + 2y = 21

2x + y = 11.25

From the second equation, we can solve for y in terms of x:

y = 11.25 - 2x

Then we can substitute this expression for y in the first equation:

3x + 2(11.25 - 2x) = 21

Simplifying and solving for x, we get:

3x + 22.5 - 4x = 21

-x + 22.5 = 21

-x = -1.5

x = 1.5

So the cost to rent each chair is $1.50. We can substitute this value back into either of the original equations to solve for y:

3(1.5) + 2y = 21

4.5 + 2y = 21

2y = 16.5

y = 8.25

So the cost to rent each table is $8.25. Therefore, the answer is $1.50 for each chair and $8.25 for each table.

Answer:

The scale of the drawing is 1 cm to 90 m. This means that every 1 cm on the drawing represents 90 m in real life. The length of the field is 450 m, so the length of the drawing will be 450 m / 90 m = 5 cm.

Therefore, the length of the dam drawing is 5 cm.

Step-by-step explanation:

el perimetro de la figura en la imagen es 96 centimetros.

Sabemos que para cualquier figura el perimetro se define como la suma de las longitudes de sus lados.

Para la figura en la imagen, el perimetro será:

AH + AB + BC + CD + DE + EF + FG + GH

Para la figura en la imagen, es bastante claro que:

AH = BC + DE + FG

AB = CD + EF + GH

Y tambien podemos ver que:

AH = 33cm

AB = 15cm

Entonces en la formula del perimetro podemos rerescribir:

AH + AB + BC + CD + DE + EF + FG + GH

AH + (BC + DE + FG) + AB + (CD + EF + gH)

AH + AH + AB + AB

33cm + 33cm + 15cm + 15cm = 66cm + 30cm = 96cm

De esta forma, concluimos que el perimetro de la figura en la imagen es 96 centimetros.

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The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.

To find the percent change or growth rate of a quantity between two different values, you can use the formula:

Percent change = ( new value - old value ) / old value x 100%

The new value would be the population of the village after 10 years which is 450 people.

The old value is the initial population of the village which is 400

The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %

= 12. 5 %

The growth rate for the village is therefore 12. 5 % every ten years.

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Answer: 38

Step-by-step explanation:

Since the new side will be 2 times the length, 2 x 19 = 38.

Answer:

574.94

Step-by-step explanation:

walmart

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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Answer:

40.00520088 or 40 rounded

Step-by-step explanation:

sine rule

The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

Different ratios, hence the relationship is not proportional.

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The test statistic is given as follows:

z = -1.77.

As the test statistic is less than the critical value for the left-tailed test, this evidence demonstrates that the direct mail campaign is not cost effective.

The equation for the test statistic is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(p = 0.28, n = 165, \overline{p} = 0.2182\)

The critical value for a left tailed test with a significance value of 0.05 is given as follows:

z = -1.645.

The test statistic is then given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.2182 - 0.28}{\sqrt{\frac{0.28(0.72))}{165}}}\)

z = -1.77.

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Answer:

dhjfydhftb7cuvdihcdjxuihy

The solution to the equation using graph is x= -0.62 or x = 1.62.

What is equation?

A mathematical equation may be a formula that uses the equals sign to represent the equality of two expressions.

Main Body:

For \(-x^{2} +y = 1\)

We make y the subject to obtain

\(y = x^{2} +1\)

We can easily graph this function, because we just have to transform the graph \(y = x^{2}\) of  by shifting the intercept up to 1.

As for the straight line, -x +y = 2

We find the intercepts as follows,

When y = 0 , x = -2

When x = 0 , y = 2

We plot the points (-2,0)  and (0,2).

We now draw the two graphs on the same graph sheet. The intersection of the two graphs gives the solution to be

x= -0.62 or  x= 1.62

See graph

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Answer:

8

Step-by-step explanation:

help i don't know what i doing

Answer:

B. 120 m²

Step-by-step explanation:

To find the surface area of the composite solid, we would need to calculate the area of each solid (square pyramid and square prism), then subtract the areas of the sides that are not included as surface area. The sides not included as surface area is the side the pyramid and the prism is joint together.

Step 1: find the surface area of the pyramid:

Surface area of pyramid with equal base sides = Base Area (B) + ½ × Perimeter (P) × Slant height (l)

Base area = 4² = 16 m

Perimeter = 4(4) = 16 m

Slant height = 3 m

Total surface area of pyramid = 16 + ½ × 16 × 3

= 16 + 8 × 3 = 16 + 24

= 40 m²

Step 2: find the area of the prism

Area = 2(wl + hl + hw)

Area = 2[(4*4) + (5*4) + (5*4)]

Area = 2[16 + 20 + 20]

Area of prism =  2[56] = 112 m²

Step 3: Find the area of the sides not included

Area of the sides not included = 2 × area of the square base where both solids are joint

Area = 2 × (4²)

Area excluded = 2(16) = 32 m²

Step 4: find the surface area of the composite shape

Surface area of the composite shape = (area of pyramid + area of prism) - excluded areas

= (40m²+112m²) - 32m²

= 152 - 32

Surface area of composite solid = 120 m²

Answer:

Step-by-step explanation:

2/3 x -1/4 + 9/6)

-2/12 + 9/6

-1/6 + 8/6 = 7/6 = 1 1/6