ANSWER PLZZ!!
Your neighbor Sally wants to plant flowers around the edge of her circular above ground pool. If the diameter of Sally’s Pool is 18ft, how many flowers will sally need to plant to surround the pool? Round your answer to the nearest hundredth

The number of subsets with at most three elements the set of cardinality 7 has can be found using the following:

This formula finds the sum of the number of subsets with 0 elements, 1 element, 2 elements, and 3 elements in a set with a cardinality of 7. Using the formula, we get:

\($$\[\binom{7}{0} + \binom{7}{1} + \binom{7}{2} + \binom{7}{3} = 1 + 7 + 21 + 35 = 64$$\)

Therefore, the set of cardinality 7 has 64 subsets with at most 3 elements.

The number of subsets with at most 3 elements the set of cardinality 7 has can be found using the formula:

\($$\sum_{i=0}^{3}\binom{7}{i}$$\)

This formula finds the sum of the number of subsets with 0 elements, 1 element, 2 elements, and 3 elements in a set with a cardinality of 7. Here's how it works. Suppose we have a set of 7 elements. For each element in the set, we have two choices, either to include the element in the subset or not.

Therefore, the total number of subsets is 2^7 = 128.

However, we are only interested in the subsets that have at most three elements. To find the number of such subsets, we need to sum the number of subsets with 0, 1, 2, and 3 elements.The number of subsets with 0 elements is 1 (the empty set). The number of subsets with 1 element is the number of ways of choosing 1 element out of 7, which is equal to 7. The number of subsets with 2 elements is the number of ways of choosing 2 elements out of 7, which is equal to 21.

Finally, the number of subsets with 3 elements is the number of ways of choosing 3 elements out of 7, which is equal to 35.Therefore, the total number of subsets with at most 3 elements is:

\($$\[\binom{7}{0} + \binom{7}{1} + \binom{7}{2} + \binom{7}{3} = 1 + 7 + 21 + 35 = 64$$\)

Therefore, the set of cardinality 7 has 64 subsets with at most 3 elements.

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Answer:

it would be b

Answer:

it's A

Step-by-step explanation:

Answer:

The value of x so f (x) = 7 is 5.

Step-by-step explanation:

Answer:

15.5

Step-by-step explanation:

Yes

The statement "A road is built for vehicles weighing under 4 tons" implies that the road has been constructed specifically to accommodate vehicles whose weight does not exceed 4 tons. Therefore, vehicles whose weight exceeds 4 tons should not be driven on this road.

This restriction is put in place to ensure that the road is not damaged or deteriorated and that it remains safe for drivers and pedestrians. It also ensures that the vehicles on the road are capable of navigating it without causing accidents or traffic congestion.

It is important to abide by the weight restrictions of a road as it plays a key role in maintaining the integrity and safety of the road, and helps prevent accidents that could be caused by overloaded vehicles.

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Given

Formula

Substitute the given into the formula

The final balance is ₦2,180.94

The number of trees the farmer should harvest for the maximum harvest is given by A = 39

Given data ,

To maximize her harvest, the farmer needs to find the optimal number of trees to plant per acre. Let's denote the number of trees planted per acre as "x".

If she plants 70 trees per acre, each tree will yield 30 bushels of fruit.

For each additional tree planted per acre, the yield of each tree will decrease by 4 bushels.

Based on this, the yield of each tree can be modeled by the equation: 30 - 4(x - 70)

So the total yield per acre (T) can be represented as:

T = x(30 - 4(x - 70))

On differentiating T with respect to x , we get

T = x(30 - 4(x - 70))

T = 30x - 4x^2 + 280x

dT/dx = 30 - 8x + 280

Setting dT/dx equal to 0 and solving for x:

30 - 8x + 280 = 0

8x = 310

x = 310/8

x = 38.75

Therefore , the value of A is 39

Hence , the optimal number of trees to plant per acre to maximize the harvest is 39

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We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.

To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.

Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.

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Answer:

$17.1

Step-by-step explanation:

If Gianna paid $4.75, then she had $4.75 more than she has now. So, before she bought the smoothie, she had $12.35 + $4.75.

We can break this up into $12.00+$0.30+$0.05+$4.00+$0.70+$0.05.

Now, we have $16.00+$1.00+$0.10=$17.10, which is just $17.1

Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

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The inequalities for the triangle are as follows:

The value of x that makes sense in the triangle  is 7.

The triangular inequality theorem theory states that the sum of the length of any two side of a triangle is greater than the length of the third side.

Therefore,

a + b > c

a + c > b

b + c > a

Therefore, the three inequalities for the triangle is as follows:

The value of x that makes sense is 7.

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Answer:

341.25

Step-by-step explanation:

You first split the figure into 2 pieces the triangular prism and the rectangular prism now that we know the dimensions of each figure we can create an expression, we will start with the triangular prism. the expression will be 3/2 x 5/2 x 10.5. Then we solve the rectangular prism. 5 x 5 x 10.5.

Now that we have acquired all the math that we need we can continue to simplify. 3 x 2 x 5/2 was derived from (3 x 5)/2 and we physically drew it out with properties of algebra (a later topic to study) anyways we get 15/2=7.5 and we multiply that by 10.5 giving us 78.75. the triangular prism is easier we just do 25 x 10.5 giving us 262.5. Now that we have succumbed both figures we can combine the to get the volume which is 341.25 (78.75 + 262.5).

The angle of half past eight between the hour and minute hands of a clock is 255°.

Given that,

We have to find look for the smaller angles half past eight between the hour and minute hands of a clock.

We know that,

The clock is in circle.

A clock has 12 different parts. Between any two divisions, there is a 30° angle. Each division is then divided into 5 equal pieces, each of which is divided by an angle of 60° and equals 1 minute.

We know the total angle of the circle is 360°.

So, 12 hours is 360°.

Then 1 hours is

1 hour= 360/12=30°

So, 1 hour is 30°

60mins=1 hour

60 mins = 30°

1 min =30/60

1 min=1/2

So,

8 hour and 30 min

(8× 1 hour)+( 30×1 min)

(8×30)+(30×1/2)

240+15

255°

Therefore, The angle of half past eight between the hour and minute hands of a clock is 255°.

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The probability of selecting a score less than or equal to 370 is approximately 0.3821, which is option (b).

We can use the standard normal distribution to find the probability of selecting a score less than or equal to 370, given that the mean is 400 and the standard deviation is 100.

First, we need to standardize the value 370 by subtracting the mean and dividing by the standard deviation:

z = (370 - 400) / 100

= -0.3

Next, we look up the probability of a standard normal random variable being less than or equal to -0.3 in a standard normal distribution table, or use a calculator or statistical software. This gives us:

P(Z ≤ -0.3) ≈ 0.3821

Therefore, the probability of selecting a score less than or equal to 370 is approximately 0.3821, which is option (b).

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A square could be called a rectangle since it has four right angles.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°. Observe the rectangle given below to see its shape, sides and angles.

So,  Every square is a rectangle because it is a quadrilateral with all four angles right angles.

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The cost of pass is $10.5, the cost of burger is $1.75, and the cost of souvenir is $5.25 if the Sharon brought $19.50 to the state fair.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the cost of the pass is $x

The souvenir cost 1/2 the cost of the pass, which is x/2

The burger was 1/3 as much as the souvenir, which is (1/3)(x/2) = x/6

x + x/2 + x/6 + 2 = 19.50

x = 21/2

x = $10.5

The cost of pass = $10.5

The cost of burger = $1.75

The cost of souvenir = $5.25

Thus, the cost of pass is $10.5, the cost of burger is $1.75, and the cost of souvenir is $5.25 if the Sharon brought $19.50 to the state fair.

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Answer:14 dollars, 2 pounds

Step-by-step explanation:

for they first one your just rounding wich is kinda easy you just round it up to the nearest dollar wich is 1 plus 13= 14 dollars.

for the second one it would be better to specify, but since we already did rounding on the first one this might be about the same topic, meaning it might be 2 pounds. But if not 2 and 1/4 of a pound.

Answer: the answer is in simple rounding-terms, 13.55 dollars rounded to dollars is just rounding off the cents, specifically the dimes or quarters. 55 cent can also be a half-dollar, but that is not important, 0.5 can be rounded to 1 in this case, so for question 14 you would add one to 13 dollars since 0.50 cents got rounded to 1 dollar and you get 14 dollars as your answer for the first question. for the next question American cheese i would assume is the same as the cheese referenced by Mr. Marsh, so the answer  would be 2.25 pounds of cheese for number 15

Step-by-step explanation: my answer.

the answer is 14, 2.25

Answer:

14

Step-by-step explanation:

Answer:

Information

General form of an exponential function:  \(y=ab^x\)

where:

Also, growth rate \(r=b-1\)

Domain:  input values - independent variable ⇒ \(x\)

Range:  output values - dependent variable ⇒ \(y\)

y-intercept:  when \(x=0\)

Asymptote:  the line(s) that the curve approaches as it tends towards infinity

Given function:  \(f(x)=200(1.08)^x\)

Solution

Domain:   \(-\infty < x < +\infty\)

Range:   \(y > 0\)

y-intercept (\(a\)):  \((0, 200)\)

Asymptote:   \(y=0\)

Growth Rate (\(b-1\)):   \(0.08\)

Growth Factor (\(b\)):   \(1.08\)

End behaviors:

\(\textsf{as } x \rightarrow -\infty, f(x) \rightarrow0\)

\(\textsf{as } x \rightarrow +\infty, f(x) \rightarrow+\infty\)

Answer:

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer: Three Equivalent ratios for 1 2/3:4/4 = 4:1, 4:1, 4:1

Step-by-step explanation:

Define Equivalent ratio:

Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.

All equivalent fractions get reduced to the same fraction in their simplest form.

Explanation:

All those fractions obtained by multiplying both the numerator and denominator of 12/3 by the same integer are equivalent to 12/3.

12/3 × 2/2  = 24/6 = 4

12/3 × 3/3 = 36/9 = 4

12/3 × 4/4 = 48/12 = 4

4, 4, 4,  ... are equivalent to 12/3.

All those fractions obtained by multiplying both the numerator and denominator of 4/4 by the same integer are equivalent to 4/4.

4/4 × 2/2  = 8/8 = 1

4/4 × 3/3 = 12/12 = 1

4/4 × 4/4 = 16/16 = 1

1, 1,1,  ... are equivalent to 4/4.  

Therefore,

Equivalent ratios for 1 2/3:4/4 = 24/6:8/8, 33/9:12/12, 48/12:16/16

Three Equivalent ratios for 1 2/3:4/4 = 4:1, 4:1, 4:1

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where's thw graph? what we have to show?

Answer: El número de grupos de Analistas que puede realizar la inducción es de 238 y el número de grupo Ingenieros en Mantenimiento  es de 227.

Explanations: Hacemos dos ecuaciones para resolver la incógnita. Siendo X el grupo de Técnicos y Y el grupo de Ingenieros Civiles.

17X + 18Y = 423 (1)

14X + 7Y = 231 (2)

Resolvemos el sistema de ecuaciones, multiplicamos por -14 a la primera ecuación y por 17 a la segunda ecuación:

(-14) (17X + 18Y = 423)

(17)  (14X + 7Y  = 231)

Sumamos y despejamos a Y:

-238X - 252Y = -59 976

238X + 119Y = 28.322

0 + 133Y = 31 654

Y = 31 654/133

Y = 238

Entonces el número de grupo de analistas que puede realizar la inducción es 238.

Ahora sustituimos el valor de Y en cualquiera de las ecuaciones y despejamos a X:

17X + 18*231 = 423

17X + 4284 = 423

17X = 4284-423

17X = 3861

X = 3861/17

X = 227

El número de grupo de Ingenieros en Mantenimiento que realizarán la inducción es 227.

Answer:

I graphed the answers And A was the closest

Answer:

D. 0.04

Step-by-step explanation:

Because 400 and 40 are whole numbers. 0.4 is a decimal meaning is 40% and 0.04 is in the hundreds so is 4%

Answer:

C, E and F

Step-by-step explanation:

As,

C. - 3/4 m + 8m + m. [Like terms of m]

= 29/4 m + m

= 33/4 m

E. 5. 75t + 7.75 t - t. [Like terms of t]

= 13.5t - t

= 12 . 5t

F. 8xy - 6xy. [Like terms of xy]

= 2xy

Answer: 12 cm

Explanation: The other diagonal is 12 cm as I calculated.