The eggs of birds and other animals come in many different shapes and sizes. Eggs often have a shape that is nearly spherical. When this is true, you can use the formula for a sphere to find their volume.

The green turtle lays eggs that are approximately spherical with an average diameter of 4.1 centimeters. Each turtle lays an average of 113 eggs at one time. Find the volume of one egg, rounding your answer to the nearest tenth of a cubic centimeter. Then find the total volume of these eggs, to the nearest tenth of a cubic centimeter

Answer:

The surface area is equal to [tex]203\ m^{2}[/tex]

Step-by-step explanation:

step 1

Find the height of the prism

we know that

The volume of the prism is equal to

[tex]V=Bh[/tex]

where

B is the area of the base of the prism

h is the height of the prism

we have

[tex]V=160\ m^{3}[/tex]

[tex]B=64\ m^{2}[/tex]

substitute in the formula and solve for h

[tex]160=64h[/tex]

[tex]h=160/64=2.5\ m[/tex]

step 2

Find the surface area

The surface area of the prism is equal to

[tex]SA=2B+Ph[/tex]

where

B is the area of the base of the prism

P is the perimeter of the base

h is the height of the prism

we have

[tex]B=64\ m^{2}[/tex]

[tex]P=30\ m[/tex]

[tex]h=2.5\ m[/tex]

substitute in the formula

[tex]SA=2(64)+(30)(2.5)=203\ m^{2}[/tex]

1. 60 / 1/8 * 3/4

2. 3/4 * 15

3. 7/8 / 3/4

Answer:

[tex]\large\boxed{7x^2-15x+5-2x-8x^2=-x^2-17x+5}[/tex]

Step-by-step explanation:

[tex]7x^2-15x+5-2x-8x^2\qquad\text{combine like terms}\\\\=(7x^2-8x^2)+(-15x-2x)+5\\\\=-x^2-17x+5[/tex]

Answer:

see the attachment for a table

Step-by-step explanation:

A. The table is shown in the attachment. The solution to h(t) = g(t) is at a value of t that lies between 6 and 7. At t=6, h(t) > g(t). At t=7, h(t) < g(t). Since both functions are continuous, they must have equal values somewhere between t=6 and t=7. (Intermediate value theorem.)

__

B. The solution means the cannon balls will have the same height at a value of t between 6 and 7.

Answer:

b

Step-by-step explanation:

Answer:

[tex]NQ=24\ units[/tex]

Step-by-step explanation:

we know that

Triangles ABM and CDN are congruent

so

CD=AB

AB=2AL ----> because the diameter divide the circle into two equal parts

CQ=AL=140/2=70 units

NC----> is the radius

NC=148/2=74 units ----> the radius is half the diameter

Applying Pythagoras Theorem find the value of NQ

[tex]NC^{2}=NQ^{2}+CQ^{2}[/tex]

substitute the values

[tex]74^{2}=NQ^{2}+70^{2}[/tex]

[tex]NQ^{2}=74^{2}-70^{2}[/tex]

[tex]NQ^{2}=576[/tex]

[tex]NQ=24\ units[/tex]

Answer:

k is 2/3 and y is -1/3 when x is -0.5.

Step-by-step explanation:

The direct variation relationship is y = kx, where k is the const. of var.

Subbing 3 for x and 2 for y, 2 = 3k, or k = 2/3.

Now, if x = -0.5, y = (2/3)(-1/2) = -1/3

k is 2/3 and y is -1/3 when x is -0.5.

Answer:

2/3 and y is -1/3 when x is -0.5.

Step-by-step explanation:

Hope I helped

Answer:

2 and a half

Step-by-step explanation:

To solve this, divide the total amount of free time [5/6] by the time it takes to play one video game [1/3]

Remember that dividing 5/6 by 1/3 is the same as multiplying 5/6 by 3/1.

Multiply the numerators

5 x 3 = 15

Multiply the denominators

6 x 1

15/6 = 2 3/6

So, Lamar can play 2 and a half video games

I hope this helps!

The answer is 2 and a half.

Answer:

80

Step-by-step explanation:

Steval train 80 dogs in 10 hours because 48÷6 = 8 so if you do 10 times a day you get 80 so you will get a total of 80 dogs in 10 hours

Answer:

x=30

Step-by-step explanation:

Answer:

The answer is D. For every girl in the reading club, there are four girls in the drama club. It is not B. For every boy in the drama club, there are six boys in the reading club.

Pls make me brinlyest .

Hope this helped

The correct statement is, C. For every girl in the reading club, there are three girls in the drama club.  

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given,  8 boys in reading club 4 girls in reading club 2 boys in drama club 12 girls in drama club.

Going through the given options (given statements so multiple options would be correct).

For every girl in the reading club, there are three girls in the drama club,

As 12 is a multiple of 4 and 3.

learn more about proportion here :

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(4, 2) and (4, -5)

(Look at the photo. They have the same x-coordinates, but different y-coordinates; one is positive the other is negative, resuting in different quadrants)

I hope this helps!

When Dave walks three dogs he will earn a net profit of 40 dollars.

P(3) = 40 in the given problem context implies that Dave makes a net profit of 40 dollars from walking three dogs.

In the given problem context, the equation P(3) = 40 means that when Dave walks three dogs (d=3), he makes a net profit of 40 dollars. Dave's profit function is P(d) = 20d - 20. By substituting d with 3 in his profit function, we obtain P(3) = 20*3 - 20, which gives us P(3) = 60 - 20 = 40. Thus, Dave earns a net profit of 40 dollars from walking 3 dogs.

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Answer:  [tex]A)\quad \dfrac{x^6\ z}{y^{10}}[/tex]

Step-by-step explanation:

[tex].\quad \dfrac{(x^{2}\cdot y^{-3}\cdot z^{4})^2}{x^{-2}\cdot y^{4}\cdot z^{7}}\\\\\\= \dfrac{x^{2\cdot 2}\cdot y^{-3\cdot 2}\cdot z^{4\cdot 2}}{x^{-2}\cdot y^{4}\cdot z^{7}}\\\\\\=\dfrac{x^{4}\cdot y^{-6}\cdot z^{8}}{x^{-2}\cdot y^{4}\cdot z^{7}}\\\\\\=\dfrac{x^{4+2}\cdot y^{-6+6}\cdot z^{8-7}}{x^{-2+2}\cdot y^{4+6}\cdot z^{7-7}}\\\\\\=\large\boxed{\dfrac{x^6\ z}{y^{10}}}[/tex]

Answer:

37

Step-by-step explanation:

To evaluate, substitute x = 10 into g(x) then substitute the value obtained into f(x)

g(10) = 10 - 4 = 6, then

f(6) = 6² + 1 = 36 + 1 = 37

Answer:

The perimeter of the triangle ABC is 22.8 units

Step-by-step explanation:

* Lets study the information in the problem

- There is Δ ABC with vertices:

  A (-2 , 2) , B (6 , 2) , C (0 , 8)

- The perimeter of the triangle is the sum of the length of its

  three sides

* We must to find the lengths of AB , BC and CD

- The rule to find the distance between 2 points (x1 , y1) and (x2 , y2) is

  √[(x2 - x1)² + (y2 - y1)²]

* Lets find the lengths of the three sides

- Length of AB

∵ A = (-2 , 2) and B = (6 , 2)

∴ AB = √[(6 - -2)² + (2 - 2)²] = √8² = 8 units

- Length of BC

∵ B = (6 , 2) and C = (0 , 8)

∴ BC = √[(0 - 6)² + (8 - 2)²] = √[6² + 6²] = √72 = 6√2 units

- Length of AC

∵ A = (-2 , 2) and C = (0 , 8)

∴ AC = √[(0 - -2)² + (8 - 2)²] = √[2² + 6²] = √40 = 2√10 units

* Now lets find the perimeter of the triangle

∵ The perimeter = AB + BD + AC

∴ The perimeter = 8 + 6√2 + 2√10 = 22.8 units

* The perimeter of the triangle ABC is 22.8 units

Answer:

The perimeter of triangle ABC = 22.78 units

Step-by-step explanation:

Formula:-

The length of line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Length = √ [(x₂ - x₁)² + (y₂ - y₁)²]

To find the each side of triangle

We have  A(-2,2), B(6,2), and C(0,8).

AB =  √[(6 - -2)² + (2 - 2)²] =  √64 = 8

BC = √[(0 - 6)² + (8 - 2)²] = √(36 + 36) = 8.48

AC = √[(0 - -2)² + (8 - 2)²] = √(4 + 36) = 6.3

To find the perimeter of triangle ABC

Perimeter = AB + BC + AC

 = 8 + 8.48 + 6.3 = 22.78 units

It’s A. Hope you already got it✨

The answer is actually D or C

Answer: C

Step-by-step explanation:

25,230 x .15= 3,784.50

25,230- 3,784.50= 21,535

21,535/36= 598.20833

598.20833 x 1.0671= 638.348109

638.348109 x 36= 22,980.5319

Answer:

Letter C $23,735.84.The result varies a few dollars, because during the solution an adjustment was made to the decimals.

Step-by-step explanation:

1. Define the price of the vehicle you are going to buy with the dealer or seller

Principal: $25230

Rate= 6.71%

N= 36 months

Down payment=15% of the cost of the vehicle= (25230*0.15)=$3784.50

25230-3784.50=21445.5

2. Apply the amortization formula to determine the monthly payments. With this taxation, you will determine the payments applied to the principal and the copper of interest.

A=P*(r(1+r)^{n})/((1+r)^{n}-1).

A= amortization or monthly payments.

P=Principal

R=interest rate

N= the total number of months

a. Calculate the monthly interest rate. The annual interest rate is 6.71% percent. Divide it by 12 to get the monthly interest rate. The monthly interest rate is 0.5592 percent (6.71/12 = 0.5592)  

A=21445.5*(0,005592 (1+0,005592)^{{36}})/(1+0,005592)^{{36}}-1.

A=21445.5*(0,00683/0,2223)

A=21445.5*0,03072=658.90

Total of the payment= 658.90*36=23720.40

Answer:

y=(-5/12)x+(95/12)

Step-by-step explanation:

step 1

Find the slope of the line AB

m=(3-8)/(2+10)=-5/12

step 2

Find the slope of the line parallel to AB

we know that

If two lines are parallel then their slopes are the same

so

the slope is m=-5/12

step 3

Find the equation of the line l parallel to AB that passes through Point X

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-10=(-5/12)(x+5)

y=(-5/12)x-(25/12)+10

y=(-5/12)x+(95/12)

Final answer:

Classifying functions involves identifying whether a population is experiencing growth, depicted by exponential or J-curve growth models, or decay, which is often described through logistic or S-curve models. Exponential growth shows unrestricted rapid increases, while logistic growth accounts for environmental limits and a carrying capacity. Age structure diagrams provide further context for the type of population change being observed.

Explanation:

Growth and Decay in Biological Functions

When classifying functions as growth or decay, one must consider the nature of the function in relation to the context of time and population size. For instance, when discussing bacterial growth, Curve A depicting exponential growth is characterized by a population size that increases rapidly over time, often without any constraints. This curve represents a J-curve model on a graph where population size skyrockets as time progresses. On the other hand, Curve B illustrates logistic growth, which follows an S-curve model where the population grows rapidly at first and then slows down as it reaches carrying capacity, a point where growth rate starts to decline.

Different time intervals on a growth curve represent various phases, such as the lag phase, where growth is slow or negligible; the log phase or exponential phase, where the number of cells increases dramatically; the stationary phase, where growth rate is zero due to resource depletion or waste accumulation; and the death phase, where the number of live cells declines.

Various types of growth in organisms can be identified by their structural adaptations or ecological contexts, such as whether they are terrestrial or aquatic, or whether they are deciduous or evergreen plants. Additionally, age structure diagrams for populations can reveal if a population is rapidly growing, growing slowly, stable, or in decline.

Answer:

u = 16

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] u = 12

Multiply both sides by 4 to eliminate the fraction

3u = 48 ( divide both sides by 3 )

u = 16

[tex]A=\frac{ab}{2}=\frac{25\cdot12}{2}=\boxed{150}[/tex]

Answer:

the factors of x^3-1 are [tex]x^3 -1 = (x-1) (x^2 +x+1)\\[/tex]

Step-by-step explanation:

We need to find factors of x^3 -1

[tex]x^3-1 \\(x)^3 -(1)^3\\We \,\, know\,\, a^3 -b^3 = (a-b) (a^2 +ab + y^2) \\So, \,\, using\,\, the \,\, formula\,\,\\Here\,\, a= x \,\,and\,\, b= 1\\(x)^3 -(1)^3 = (x-1) (x^2 +x+1)\\[/tex]

So, the factors of x^3-1 are [tex]x^3 -1 = (x-1) (x^2 +x+1)\\[/tex]

Answer:

you'll find lots of clouds over tropical climates and practically no clouds over desert clmates.

Answer:

encontrará muchas nubes sobre climas tropicales y prácticamente ninguna nube sobre climas desérticos.

Step-by-step explanation:

Answer:

26.55

Step-by-step explanation:

When rounding to the nearest whatever, you always look at the digit to the right of it. In this case, you look at the thousandth digit. 3 is not equal to or less than five, so you round 3 to 0 and you get 26.55

Answer:

You could use one quarter and two dimes... that will equal $0.45

(I'm not sure what you are asking for)

Answer:

You could use 9 nickels

You could use 45 pennies

You could use 1 quarter and 2 dimes

You could use 4 dimes and 1 nickel

You could use 2 dimes and 5 nickels

You could use a lot more combination that equal 45...

To circle all values with a z-score greater than 0.5, calculate the z-score for each value and compare it to 0.5. The values with a z-score greater than 0.5 are 76 and 78.

To determine which values have a z-score greater than 0.5, we need to calculate the z-score for each value in the data set. The z-score formula is calculated by subtracting the mean from a value and then dividing by the standard deviation. If the resulting z-score is greater than 0.5, we circle the corresponding value.

Based on the calculations, the values with a z-score greater than 0.5 are 76 and 78. Therefore, these two values should be circled.

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To determine the values with z-scores greater than 0.5, calculate the z-score for each value. The values with z-scores greater than 0.5 are 76 and 78.

In order to determine which values have z-scores greater than 0.5, we need to calculate the z-score for each value. The z-score formula is:

z = (x - mean) / standard deviation

Let's calculate the z-scores for each value and circle the ones greater than 0.5:

Values with z-scores greater than 0.5 are: 76 and 78.

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C, because you distribute the 1/6 to x and 18 which ends up being 1/6x - 3

[tex]\frac{1}{6}(x-18)[/tex]   Distribute 1/6(multiple 1/6 to x and -18)

[tex]\frac{1}{6}(x) -\frac{1}{6} (18)[/tex]     Simplify

[tex]\frac{1}{6}x -3[/tex]       Your answer is C

the answer to this problem is 15

I believe 15 is correct ^^

Answer:

20

Step-by-step explanation:

Since we are told that line a is parallel to line b, even if it's not visible in the image, we can say that ∠5 = ∠1, since they are formed by the same line crossing parallel lines.

So, we have

∠4 = 3x

∠5 = ∠1 = 6x

Since ∠4 and ∠5 are complementary angles formed by line t, we know their sum is 180 degrees. So,

∠4 + ∠5 = 180

3x + 6x = 180

9x = 180

x = 20

Answer is 20.

1. 428 pages: There are a total of 428 pages that you can flip to.

2. 1/428: Page 45 is only one page out of the total sample space.

3. 1/2: Since the last page is 428, there is an even number of pages. That means that there are 214 page numbers that are even. 214/428 = 1/2.

Answer:

1. What is the sample space for this experiment?

A: 1 to 428

2. What is the probability that you will turn to page 45?

A: There is a 1 out of 428 chance you will turn to page 45.

3. What is the probability that you turn to an even numbered page?

A: There is a 1 out of 2 chance you will turn to an even numbered page.