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A population of 800 beetles is growing each month at a rate of 5%. About how many beetles will there be in 8
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The volume of the pyramid is 30 inches cube.

The base of the pyramid is an equilateral triangle with an area of 6 inches².  The height of the pyramid is 15 inches.

Therefore, the volume of the pyramid can be calculated as follows:

volume of the pyramid = 1 / 3 BH

where

Therefore,

B = 6 inches²

H = 15 inches

Hence,

volume of the pyramid = 1 / 3 × 6 × 15

volume of the pyramid = 1 / 3 × 90

Therefore,

volume of the pyramid = 30 inches³

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A coin is biased so that the probability a head comes up when it is flipped is 0.6. Therefore, we can expect to get 6 heads when a biased coin with a probability of 0.6 for heads is flipped 10 times.

To find the expected number of heads when a biased coin is flipped 10 times, we can use the formula:

Expected number of heads = Probability of getting a head × Number of times the coin is flipped

In this case, the probability of getting a head is 0.6 and the coin is flipped 10 times. So the expected number of heads is:
Expected number of heads = probability of getting a head x number of times flipped

Expected number of heads = 0.6 x 10

Expected number of heads = 6

Therefore, the expected number of heads when the coin is flipped 10 times is 6.

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The value of dy/dt is -52/x².

The process of finding the derivative of a dependent variable in an implicit function by differentiating each term separately, by expressing the derivative of the dependent variable as a symbol, and by solving the resulting expression for the symbol.

From the given expression, the value of dy/dx is calculated as follows;

xy = 4

y = 4/x

y = 4x⁻¹

dy/dx = -4x⁻² = -4/x²

dx/dt = 13

dy/dt = dy/dx .  dx/dt

dy/dt = -4/x²(13) = -52/x²

Thus, the value of dy/dt is -52/x².

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Answer:

Step-by-step explanation:

Answer:

Eight times ten plus six times one plus two times one-tenth plus seven times one-thousandth.

Step-by-step explanation:

(8 x 10) = eight times ten

(6 x 1) = six times one

(2 x 0.1) = two times one-tenth

(7 x 0.001) = seven times one-thousandth

I am not always the best with the equations to words stuff, so please comment if I am wrong!

Step-by-step explanation:

Using the formula for the area of a circle, we have:

Area = πr²

where r is the radius of the circle.

Given that the radius is 10 inches, we can substitute this value into the formula to get:

Area = π(10)²

Area = 100π

Therefore, the area of the circle is 100π square inches. We can leave the answer in terms of π and do not need to round it.

Answer:

the 2 one is better because you get more pens

Step-by-step explanation:

you get more pens

Answer:

y = - \(\frac{3}{2}\) x - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute (- 6, 5 ) into the partial equation

5 = 9 + c ⇒ c = 5 - 9 = - 4

y = - \(\frac{3}{2}\) x - 4 ← equation of line

Answer:

89.70 dollars

Step-by-step explanation:

If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:

1. (#sold)* (price)= total amount of money made

2. 26*3.45= 89.70

3. And you can check by dividing 89.70(your answer) by the price of the apples

4. 89.70/3.45= 26

Answer:

E67.5

Step-by-step explanation:

Answer:

Y' = (0, -8)

Z' = (7, -2)

Step-by-step explanation:

The pattern is (+5, -5).

For Y,

(-5+5, -3-5)

(0, -8)

For Z,

(2+5, 3-5)

(7, -2)

D

Step-by-step explanation:

if R = those numbers then 4R would be those numbers times 4 :)

As per inequality, it means that the value of x can be less than or equal to y.

Inequality in Mathematics

The two expressions that make up an equation or an inequality are connected in a mathematical statement. The equal sign (=) in an equation denotes the equality of the two expressions. The symbols >, <, ≤, or ≥ are used to denote an inequality, when the two expressions aren't always equal.

Type of Inequality

The given expression, x <= y denotes the type of inequality where the possible values of x are either less than y or equal to less. The value of x cannot be greater than y in any case.

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The value of  in the given image of the right triangle is 18.87.

Th given shape is a right triangle. A right triangle is a triangle that has an angle that measures 90 degrees. The sum of angles in a right triangle is 180 degrees.

In order to determine the value of x, trigonometry would be used.

We have to determine the value of the opposite side given the value of the adjacent side. This means that tan would be used to determine the value of x.

Tan 48 = opposite / adjacent

Tan 48 = x / 17

1.11061251 = x / 17

x = 1.1106125 x 17

= 18.87

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Answer:

a dillation

Step-by-step explanation:

a dillation is a transformation which is not rigid since it changes the size of the figure in particular ways by using scale factor.it creates image that is exactly same as the original, but have a different size it stretches or shrinks the figure hence it does not preserve congruence

Answer: it will take Paul 11 months to have $2,000 in his account, assuming he does not withdraw any money or make any additional deposits.

Step-by-step explanation:

   Let x be the number of months that Paul has deposited money into his account. The total amount of money he deposits can be represented by the equation y = 150x, where y is the total amount of money in his account after x months.

To find the value of y after 6 months, we can substitute x = 6 into the equation:

y = 150(6) = 900

However, we know that the actual amount of money in Paul's account after 6 months is 1,250. This means that he must have earned interest on his deposits.

To account for the interest, we can add a constant term to the equation, representing the amount of interest earned. Let's call this constant term b. Then the equation becomes:

y = 150x + b

We know that when x = 6, y = 1,250. We can use this information to solve for b:

1,250 = 150(6) + b

b = 1,250 - 900

b = 350

So the equation that represents the total amount of money Paul deposits into his account is:

y = 150x + 350 (in point slope form, this is y - 350 = 150(x - 0)).

   To find the number of months it will take for Paul to have $2,000 in his account, we can set y = 2,000 in the equation and solve for x:

   2,000 = 150x + 350

   1,650 = 150x

   x = 11

Therefore, it will take Paul 11 months to have $2,000 in his account, assuming he does not withdraw any money or make any additional deposits.

Answer:

answer of 2a)

He started with $24 and spent $16. Let a represent his account balance after he bought the notebook and pens. Then

24–16=a

His new account balance is $8.

He has $8 in his account and then he deposited b dollars. His account balance is now $28. Then

8+b=28

His deposited $20 in his account.

He has $28 and spent $34. Let c represent his account balance after he bought the book. Then

28–34=c

His new account balance is -$6.

He started with an account balance of -$6 and paid the debt off so his account balance is 0. If d is the amount money he deposited to pay off his debt, then

−6+d=0

He deposited $6.

answer of 2b)

If he spends more than he has in his account, then we are subtracting a bigger number from a smaller number, and the result is negative. ... The opposite of a positive number is a negative number, so it makes sense to represent his account balance with a negative number when he owes money to the bookstore.

please give me brainliest:))

Answer:

Answer: 284.7

Step-by-step explanation:

Step-by-step explanation:

radius of cone and hemisphere are the same

volume of half sphere=(1/2)*(4/3)*

                                   =(1/2)*(4/3)*3.14*                       (4*4*4=64)

                                   =133.97333

                                   =133.97

volume of cone= (1/3)h

                        =(1/3)*3.14**9                                      (4*4=16)

                        =150.72

total volume=133.97+150.72

                   =284.69

                   =284.7

Answer:

The place value of 5 is HUNDREDTH

Explanation:

From the right-hand side, the place value of:

8 is Hundred

2 is Ten

6 is Unit

1 is Tenth

and finally, what we are required to tell,

5 is Hundredth.

Using the given population models, we found that Wyoming's population will surpass Alaska's after 37  years.

What is meant by population models?

A particular category of the mathematical model is called a population model, and it is used to examine population dynamics. Population models are mechanistic models that link alterations in population structure and density to reactions at the individual level. Models help us comprehend the workings of intricate interactions and systems. A feasible way to comprehend how numbers change over time or in connection to one another is by modelling dynamic interactions in nature. By using population modelling as a technique, numerous trends can be seen.

The population model of Alaska is:

\(y = 670,000e^{(0.01293t)}\)

The population model of Wyoming is:

\(y = 515,000e^{(0.020t)}\)

First, we will find when the population becomes the same.

\(670,000e^{(0.01293t)} = 515,000e^{(0.020t)}\)

\(\frac{670,000}{ 515,000} =\frac{e^{(0.020t)}}{e^{(0.01293t)}}\)

\(1.301 ={e^{(0.020t-0.01293t)}}\)

Taking natural logarithms on both sides

ln 1.301 = 0.020t - 0.01293t

0.263 = 0.00707t

t = 37.199 = 37 years

Therefore using the given population models, we found that Wyoming's population will surpass Alaska's after 37  years.

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From the question

We are given the dimensions of the ice tray to be

The ice tray is

1 inch deep

9 inches long

3 Inches wide

We are to find how many cubic inches of ice will the tray hold

This means we are to find the volume

The volume will be calculated using

Where

Hence

Therefore,

The ice tray will hold 27 cubic inches of ice

Answer:

After 4 seconds, the ball is at 229 ft

Step-by-step explanation:

Here, we want to get the height of the ball at 4 seconds

What we have to do here is to substitute the value of t for 4 seconds in the equation

We have;

h = -16(4^2) + 121(4) + 1

h = -256 + 484 + 1

h = 229 ft

Answer:

A x=1/4

Step-by-step explanation:

2/3x = 1/6

Divide by 2/3

so 1/6 ÷ 2/3

= 1/6 • 3/2

= 3/12

= 1/4

Answer:

A

Step-by-step explanation:

The linear equation in two variables is given to us is

→ y = 3( x -4) +6x

Slope Intercept Form :-

→ y = 3x - 12 + 6x

→ y = 6x + 3x -12

→ y = 9x - 12

find dy/dx

x= t sin(t); (Given in the question)

y= t²+8t; (Given in the question)

then, x= t sin(t)

dx/dt = sin t + t cos t ;

y= t²+8t

dy/dt = 2t + 8;

then, dy/dx = dy/dt x dx/dt

dy/dx = (2t+8)/(sin t + t cos t)

dy/dx = 2(t+4)/(sin t + t cos t)

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The store's markup on the tablet is equal to $350. Hence, option D is correct.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the information in the question,

Don bought a new tablet.

The cost of buying a tablet for Don = $550

The cost at which the store is buying the tablet = $200

Then, the markup on the tablet will be,

= 550 - 200

= $350

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Answer:

third expression

Step-by-step explanation:

the surface area (SA) is the area of the 6 faces.

Note that opposite faces are congruent.

the surface area is the the area of each face multiplied by 2 , since they are congruent.

SA = 2(front area ) + 2(side area ) + 2(area of base)

   = 2(5 × 7 ) + 2(4 × 7 ) + 2(4 × 5 ) ← third option

  = 2(35) + 2(28) + 2(20)

 = 70 + 56 + 40

= 166 cm²