What is d, the common difference, in the arithmetic sequence 100, 98, 96, 94, 92, ...?
-1
Ο 2
Ο Ο Ο Ο.
-2
Ο 100

The function \(B(t) = 182(1.065)^t\) represents the annual population of bees in a county park, the growth rate is 6.5%.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Length of Charles garden = 12.5 m * 12 = 150 m

Length of Stephen chain = 150 m /18 = 25/3 m

Breadth of Charles garden - 25/3 * 10 = 250/3 m

Area of Charles garden = 150 m * 250/3 m = 12500 m =

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Answer:

I think its H.

Step-by-step explanation:

Answer:

J $52.14

Step-by-step explanation:

Have a Nice Day!

The solutions to the given absolute value equation are:

x = −74 and x = 80

Here we want to solve the absolute value equation:

(1/7)*|x - 3| - 2 = 9

To solve this, we first need to isolate the absolute value part, so we get:

(1/7)*|x - 3| - 2 = 9

(1/7)*|x - 3| = 9 + 2

(1/7)*|x - 3| = 11

|x - 3| = 11*7

|x - 3| = 77

Now we can decompose the absolute value equation into two simpler ones, which are:

x - 3 = 77

x - 3 = -77

Solving those two equations we get:

x = 77 + 3 = 80

x = -77 + 3 = -74

Thus the solutions are:

x = -74 and x = 80, we conclude that the correct option is the last one.

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You have the following expression:

2.5 x 10⁴ - 1.5 x 10³

in order to simplify the previous expression, consider that the factors with base 10 have to have the same exponent. You can write the second term as a factor with 10⁴ if you write 1.5 as 0.15 (if you increase the exponent you move the decimal point to the left). Then, you can subtract the coefficients of the term and put the same factor x 10⁴:

Then, you have:

1.5 x 10³ = 0.15 x 10⁴

2.5 x 10⁴ - 0.15 x 10⁴ = 2.35 x 10⁴

Hence, the asnwer is:

2.35 x 10⁴

x + 6 ≤ -30

Explanation:

let the number = x

x increased by 6 = x + 6

less than or equal means ≤

number x increased by 6 is less than or equal to -30:

x + 6 ≤ -30

Answer:

It is compound because it is explaining

Step-by-step explanation:

Answer:

Simple, It's As Simple As Possible

Answer:

7) Linear Pair

8) Linear Pair

9) Vertical Angles

Answer:

Linear Pair

Linear Pair

Vertical Angles

enjoy. - pandamathhelper

Answer:

99

Step-by-step explanation:

That quadrilateral equals to 360. So i had to add the numbers which equal 261. Then i did 360-261=99.

Answer:

99,that is the answer!!!!!!!!

The trader could sell 4 covered call contracts on half of her shares, covering a total of 400 shares (4 contracts * 100 shares per contract), leaving her with 452 shares remaining uncovered.

To determine the number of covered call contracts a trader could sell when owning 852 shares of a stock and planning to cover half of her shares, we need to consider that each standard covered call contract typically covers 100 shares of the underlying stock.

Since the trader plans to sell covered calls on half of her shares, we can calculate the number of shares she wants to cover as 852/2 = 426 shares.

To determine the number of covered call contracts, we divide the number of shares to be covered by the number of shares covered per contract:

Number of contracts = Number of shares to be covered / Number of shares covered per contract

                  = 426 shares / 100 shares per contract

                  = 4.26 contracts.

Since contracts are usually traded in whole numbers, the trader could sell 4 covered call contracts. However, it's important to note that fractional contracts are generally not available, so in practical terms, the trader would likely round down to the nearest whole number.

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The maximum area that Georgina Orwell can enclose is 10000 square feet.

The maximum area that Georgina Orwell can enclose with 200 feet of fencing is:

Let x be the length of the side of the pig pen along the barn and y be the width of the pig pen.

We know that:

x + 2y = 200

We can use this equation to find the value of one variable in terms of the other. For example, we can solve for y:

y = (200 - x) / 2

We can use this equation to find the area of the pig pen:

A = xy = x((200 - x) / 2)

= (200x - x^2) / 2

To find the maximum area, we need to find the value of x that maximizes A. To do this, we can take the derivative of A with respect to x and set it equal to zero:

A'(x) = (200 - 2x) / 2 = 0

200 - 2x = 0

x = 100

So the maximum area is:

A = (200x - x^2) / 2 = (200 * 100 - 100^2) / 2 = 10000 sq ft.

Therefore, the maximum area that Georgina Orwell can enclose is 10000 square feet.

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Answer:

245 bags of popcorn

360 bottles of water

Step-by-step explanation:

Answer:x=3±√2

Decimal Form:

x=4.41421356

Step-by-step explanation:

:D

Answer: the corret answer is b...

The equation of the parabola in vertex form is y = (1/20)(x + 7)^2 + 1.

To write the equation of a parabola in vertex form, we use the equation:

y = a(x - h)^2 + k

where (h, k) represents the vertex of the parabola.

Given that the vertex is (-7, 1), we have h = -7 and k = 1. Substituting these values into the equation, we get:

y = a(x + 7)^2 + 1

Now, we need to find the value of 'a' to complete the equation. Since the parabola passes through the point (10, 309/20), we can substitute these coordinates into the equation:

309/20 = a(10 + 7)^2 + 1

309/20 = a(17)^2 + 1

309/20 = a(289) + 1

309/20 = 289a + 1

To simplify the fraction, we multiply both sides by 20:

309 = 20(289a + 1)

309 = 5780a + 20

Now, we solve for 'a':

5780a = 309 - 20

5780a = 289

a = 289/5780

a = 1/20

Substituting this value of 'a' back into the equation, we have:

y = (1/20)(x + 7)^2 + 1

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Answer:

The code is 571113

Step-by-step explanation:

The problem requires that we find the prime factors of 5005

1. 5005 is a multiple of 5 since it ends with a number 5

5 is one of the numbers

Dividing 5005/5 = 1001

the next prime number after 5 is 7

so 1001/7= 143

7 is one of the numbers

the next prime number after 7 is 11

so 143/11= 13

13 is one of the numbers

In all the prime factorization of 5005 is found as follows

5,7 11,13

Combining these numbers gives the 6 digit code

571113

Answer:

Step-by-step explanation:

a-6

b-165-240

c-165

d-182 and 152

e-174

Answer:

x = 1 , y = 7

Step-by-step explanation:

Solve the following system:

{y = 5 x + 2 | (equation 1)

3 x = 10 - y | (equation 2)

Express the system in standard form:

{-(5 x) + y = 2 | (equation 1)

3 x + y = 10 | (equation 2)

Add 3/5 × (equation 1) to equation 2:

{-(5 x) + y = 2 | (equation 1)

0 x+(8 y)/5 = 56/5 | (equation 2)

Multiply equation 2 by 5/8:

{-(5 x) + y = 2 | (equation 1)

0 x+y = 7 | (equation 2)

Subtract equation 2 from equation 1:

{-(5 x)+0 y = -5 | (equation 1)

0 x+y = 7 | (equation 2)

Divide equation 1 by -5:

{x+0 y = 1 | (equation 1)

0 x+y = 7 | (equation 2)

Collect results:

Answer: {x = 1 , y = 7

Answer:

D) (1,7)

Step-by-step explanation:

just took the test

The Annual yield is approximately 2.92%.

To determine the cost per share and the annual yield, we need to perform some calculations based on the given information.

a. Cost per share:

The cost per share can be calculated by dividing the total cost (including the commission) by the number of shares.

Total cost = Cost of shares + Commission

Total cost = $3,945.90

Number of shares = 60

Cost per share = Total cost / Number of shares

Cost per share = $3,945.90 / 60

Cost per share ≈ $65.76

Therefore, the cost per share is approximately $65.76.

b. Annual yield:

The annual yield is the dividend per share divided by the cost per share, expressed as a percentage.

Dividend per share = $1.92

Annual yield = (Dividend per share / Cost per share) * 100

Annual yield = ($1.92 / $65.76) * 100

Annual yield ≈ 2.92%

Therefore, the annual yield is approximately 2.92%.

In summary:

a. The cost per share for Comerica Inc. is approximately $65.76.

b. The annual yield for Comerica Inc. is approximately 2.92%.

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Answer: $1.38

Step-by-step explanation:

Let the value of the Reese be represented by x

Since the chip cost $1.60 more than the Reese, then the chip will be:

= x + 1.60

Since they cost $4.36 altogether, the value of the Reese will be:

x + (x + 1.60) = 4.36

2x + 1.60 = 4.36

2x = 4.36 - 1.60

2x = 2.76

x = 2.76/2

x = 1.38

The Reese cost $1.38

Answer:

1.36

Step-by-step explanation:

By taking the product between the price and the number of meters, we conclude that Mr. Fred spent $135.42

We know that Mr. Fred bought 25.60 meters of fabric, and each meter of fabric costs $5.29

So to get the amount that Mr. Fred spent on fabric, we just need to take the product between the number of meters that he bought and the price of each meter, this is:

25.60*$5.29 = $135.42

In this way, we conclude that Mr. Fred spent $135.42 on the fabric.

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Answer(s):

first page: asa

second page: hl

third page: sss

fourth page: aas

last page: sas

Answer:

the triangles on the first image are equal because

sol: let me name triangLes as abc and pqr

u can see that

angle a and p are same and angle b and q are equal and side BC and QR are same

so it is aas criteria

second as I see angle and p are same and sides ab and pq are equal and angle q and angle b are equal

so it is sas criteria

and third one is sss

fourth one is sas

fifth one is HL or you can say as RHS

Rodolfo, Rena y Ricardo se encuentran después de 6 minutos en la salida si todos comienzan su viaje desde el mismo punto.

Rodolfo tarda unos 4 minutos en dar la vuelta a la manzana.

Ricardo tarda 5 minutos en dar la vuelta a la manzana.

Rena tarda 6 minutos en dar la vuelta a la manzana.

Digamos que los tres comienzan el viaje desde el mismo punto A.

Rena tarda 6 minutos, Ricardo tarda un minuto menos que Rena y Rodolfo tarda 2 minutos menos que Rena.

Por lo tanto,

Rena es la que más tarda en dar la vuelta a la manzana y será la última en salir.

Por lo tanto, Rodolfo, Ricardo y Rena se encontrarán después de 6 minutos en la salida.

Todas se reúnen después de 6 minutos en la salida.

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Answer:

Its A

Step-by-step explanation:

Because they have the same answer. <3

When a distribution is shown as a symmetrical bell-shaped curve then the mean, median, and mode are equal i.e., option (a) is correct.

A symmetrical bell-shaped curve, also known as a normal distribution or Gaussian distribution, is characterized by its symmetry around the mean.

In this type of distribution, the mean, median, and mode all coincide at the center of the curve.

This means that the central tendency measures, such as the mean (average), median (middle value), and mode (most frequent value), are all equal.

Option (a) states that the mean, median, and mode are equal, which aligns with the properties of a symmetrical bell-shaped curve. This equality occurs because the data is evenly distributed on both sides of the mean, resulting in a balanced distribution.

Options (b) and (d) suggest that the mean is either less than or greater than the median and mode, which does not hold true for a symmetrical distribution.

In a symmetrical distribution, the mean is located at the center of the data, and the median and mode share the same value as the mean.

Option (c) mentions moderate uniformity, but a symmetrical bell-shaped curve does not specifically indicate uniformity. Uniformity refers to a distribution where all data points have equal probability, resulting in a flat line.

In contrast, a symmetrical bell-shaped curve indicates a normal distribution with the majority of data concentrated around the mean, gradually decreasing towards the tails.

Therefore, based on the given options, option (a) is the correct conclusion when the distribution is shown as a symmetrical bell-shaped curve.

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Answer: the common difference is 4

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Let Dawn’s monthly allowance be 5x. Let Evelyn’s monthly allowance then be 8x.

Percentage increase by 20% is the same as multiplying a number by 1.2

To find the percentage decrease of Evelyn’s monthly allowance, we can equate their allowances after the change of their initial allowance.

1.2 * 5x = k/100 * 8x

k represents the percentage

6x = 8xk/100

Cancel the x’s from both sides

6 = 8k/100

600 = 8k

k = 75

Therefore since 75% of Evelyn’s monthly allowance is equal to Dawn’s increased monthly allowance, this means Evelyn’s monthly allowance was decreased by 25%.

Answer:

the final answer is 2x²+17x-12

so to fill in the blank the first box will be 2 and the second box will be 12

The triple iterated integral to evaluate is ∫∫∫r cos(e) dr de dz over the region 0.

To evaluate the triple iterated integral, we start by considering the limits of integration for each variable. In this case, the region of integration is given as 0, so the limits for all three variables are 0.

The triple iterated integral can be written as:

∫∫∫r cos(e) dr de dz

Since the limits for all variables are 0, the integral simplifies to:

∫∫∫0 cos(e) dr de dz

The integrand is cos(e), which is a constant with respect to the variable r. Therefore, integrating cos(e) with respect to r gives:

∫ cos(e) dr = r cos(e) + C1

Next, we integrate r cos(e) + C1 with respect to e:

∫(r cos(e) + C1) de = r sin(e) + C1e + C2

Finally, we integrate r sin(e) + C1e + C2 with respect to z:

∫(r sin(e) + C1e + C2) dz = r sin(e)z + C1ez + C2z + C3

Since the limits for all variables are 0, the result of the triple iterated integral is:

∫∫∫r cos(e) dr de dz = 0

Therefore, the value of the triple iterated integral is zero.

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