A circular flower garden surrounds a sculpture on a square base as show being 6x and 4x. What is an expression for the area of the flower garden

Answer:

The first answer is correct:

\(\{\frac{1}{3},-3.45,\sqrt{9}\}\)

Step-by-step explanation:

Since \(\frac{1}{3}, -3.45, \sqrt{9}=3\) are all rational numbers, the set that contains those numbers is the set of rational numbers.

In the second set, number \(\sqrt{37}\) is irrational number since it can not be written as quotient.

Also in the third and fourth set, numbers \(\sqrt{44}\) and \(\sqrt{2}\) are irrational numbers.

Therefore, the first answer is correct.

Answer:

5 remainder

Step-by-step explanation:

           x + 1

        __________

3x+2 I 3x² +5x -3

          3x² +2x

          ----------

                   3x -3

                   3x+2

                   --------

                         -5 is the remainder

Step-by-step explanation:

The sum of the measures of the interior angles of any quadrilateral can be found by breaking the quadrilateral into 2 triangles.

Since, the measure of the interior angles of any triangle equals 180 degrees,

a+b+c=180

p+q+r=180

Each of the two triangles will contribute 180 degrees to the total for the quadrilateral.

Sum of angles of quadrilateral

= b+(a+p)+q+(r+c)=a+b+c+p+q+r=180+180

=360=4×90

=4 right angles

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Answer:

4×3=12

12+6=18

18:3=6

or

4+4+4=12

12+6=18

18:3=6

Step-by-step explanation:

This is because the 4 is three, you either add the 4s or multiple the 4 by 3. You will then add the answer to 6 . You will then put the answer in ratio form

The correct option by using this concept is  c. A small p-value. TIn other words, the students group would want to obtain a small p-value by concept of hypothesis testing.

The students group would want to obtain a small p-value to discredit the city agency's claim that the average age of prisoners is less than 40 years.

In hypothesis testing, a p-value represents the probability of obtaining the observed data (or more extreme) under the assumption that the null hypothesis is true. In this case, the null hypothesis would be that the average age of prisoners is indeed less than 40 years.

To discredit the city agency's claim, the students group would need to gather evidence that suggests the average age of prisoners is actually higher than 40 years. A small p-value indicates that the observed data is unlikely to occur if the null hypothesis is true, providing evidence against the claim.

Therefore, the students group would want to obtain a small p-value by concept of hypothesis testing. The correct option by using this concept is  c. A small p-value.

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Answer:

The answer is d

Step-by-step explanation:

You can do 2.10/2 and you would get 1.05 so the soft drink cost the same amount as the Hamburger.

The cost of a soft drink is $1.4. Hence, option D is correct.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that the cost of a hamburger and a soft drink together is $2.10. The cost of 2 hamburgers and a soft drink together is $3.50.

The cost of a soft drink is calculated by making two equations.

h + s = $2.1     ..................................( 1 )

2h + s = $3.5  .................................( 2 )

Here, h = hamburger and s = soft drink.

Subtract equation ( 1 ) from equation ( 2 ).

2h - h = $3.5 - $ 2.1

h = $1.4

Hence, the cost of a soft drink is $1.4. Hence, option D is correct.

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Answer: 75.2

Step-by-step explanation:

Well, if it isn't the most confusing question ever.

First of all, what is P?

I'll assume its the perimeter...

2*(1.2*2)+4*(8.8*2)

Or

2*2.4+4*17.6

75.2

The values of p, q, and r are p = 2, q = 5, and r = 3, respectively.

Given that the lowest common multiple (LCM) of A and B is 2250, and the prime factorization of A is A = 2 × p × q¹, and the prime factorization of B is B = 2 × p² × q², we can compare the prime factorizations to determine the values of p, q, and r.

From the prime factorization of 2250 (2 × 3² × 5³), we can observe the following:

The prime factor 2 appears in both A and B.

The prime factor 3 appears in A.

The prime factor 5 appears in A.

Comparing this with the prime factorizations of A and B, we can deduce the following:

The prime factor p appears in both A and B, as it is present in the common factors 2 × p.

The prime factor q appears in both A and B, as it is present in the common factors q¹ × q² = q³.

From the above analysis, we can conclude:

p = 2

q = 5

r = 3.

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Answer:

qu = 2(rt)

v - 36 = 2(v - 63)

-v = -90

v = 90

Answer:

C,

Step-by-step explanation:

You will need amount of 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.

To calculate how much butter is needed for 3 cups of flour in a recipe, start by identifying that the recipe requires a ratio of 1 cup of butter for every 2 cups of flour. To get the amount of butter needed for 3 cups of flour, multiply 1 cup of butter by 1.5. This will give you 1.5 cups of butter, which is the amount needed for 3 cups of flour.  Therefore, you will need 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.  To ensure accuracy, it is recommended to measure the ingredients carefully and double check your calculations before proceeding.

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Answer:

5/4 or 1.25

Step-by-step explanation:

y=mx+b is the form of all linear equations

m is the slope

here m = 5/4 so the slope is 5/4 or 1.25

To sustain the vector (5,5) as a subgame perfect equilibrium payoff in the repeated game G using Nash reversion, we need to determine the values of the discount factor d for which this is possible.

In the repeated game Go(8), the players have a common discount factor d ∈ (0,1). For a subgame perfect equilibrium, the players must play a Nash equilibrium strategy in every subgame.

In the given normal form game G, the Nash equilibria are (L, T) and (R, B). To sustain the vector (5,5) as a subgame perfect equilibrium payoff, the players would need to play the strategy (L, T) infinitely in every repetition of the game G.

The strategy (L, T) yields a payoff of (5,5) in the first stage of the game, but in subsequent stages, the players would have incentives to deviate from this strategy due to the possibility of higher payoffs. Therefore, it is not possible to sustain the vector (5,5) as a subgame perfect equilibrium payoff using Nash reversion, regardless of the value of the discount factor d.

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Answer:

D. Both ends go down.

Step-by-step explanation:

f(x) = -2(x-17)^4

As x goes to -∞

f(-∞) = -2(-∞)^4 = -2 (∞) = -∞

As x goes to ∞

f(∞) = -2(∞)^4 = -2 (∞) = -∞

Both ends go to  -∞, or go down

Answer:

$104.31

Step-by-step explanation:

First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:

129 * 0.76 = 98.04

The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:

98.04 * 0.064 = 6.27456

The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:

98.04 + 6.27 = 104.31

The total price Zach will pay is $104.31.

Hope this helps :)

Answer:

Step-by-step explanation:

Two angles are said to be supplementary if their sum is equal to 180 degrees. In other words, if two angles add up to 180 degrees, they are supplementary angles.

Supplementary angles are commonly found in geometry and trigonometry. For example, in a right triangle, the two acute angles are always complementary (they add up to 90 degrees), and the hypotenuse and one of the acute angles are always supplementary (they add up to 180 degrees).

Supplementary angles can also be used to solve problems involving unknown angles. For instance, if you know that two angles are supplementary and you know the measure of one of the angles, you can use algebra to solve for the measure of the other angle.

Q = 180 ( 1.474) ^ t

This in in the form

y = a e ^ (kt)

180 is the initial value

a = 180

1.474 ^t = e^k ^ (t)

This means that e^k = 1.474

Taking the ln of each side

ln (e^k) = ln ( 1.474)

k = ln ( 1.474)

b = 1.474 which is the growth factor

b =1+r

1.474 = 1+r

r = .474

If they want r as a percent

r = 47.4 %

Step-by-step explanation:

Simplify the expression

Answer:

Step-by-step explanation:

The price for printing 700 cards is $15+$700/25 = $43.

Explanation:

We need to MODEL the cost based on the number of cards printed. We will assume that there is a FIXED price

F

for any job (to pay for setup etc.) and a VARIABLE price

V

which is the price to print a single card. The total price

P

will then be

P

=

F

+

n

V

where

n

is the number of cards printed. From the problem statement we have two equations

Equation 1:

23

=

F

+

200

V

and

Equation 2:

35

=

F

+

500

V

Let's solve Equation 1 for

F

F

=

23

−

200

V

and substitute this value for

F

into Equation 2.

35

=

23

−

200

V

+

500

V

Now solve this for

V

.

12

=

300

V

V

=

1

25

We can put this value for

V

into Equation 1 and solve for

F

.

23

=

F

+

200

25

F

=

15

So our model equation is

P

=

15

+

n

25

.

Let's check our answer with the data in the problem.

15

+

200

25

=

23

15

+

500

25

=

35

So we have the correct model equation.

Now use the model to predict the price of printing 700 cards.

15

+

700

25

=

43

.

The price for printing 700 cards is $43.

Note that the price for printing 700 cards is NOT the same as the price for printing 200 cards plus the cost for printing 500 cards! See if you can figure out WHY?

we are asked to solve a system of inequalities that reads:

18 + 2 x < 12

5 x + 2 >= - 18

so we solve for x in each one:

18 + 2 x < 12

subtract 18 from boths sides:

2 x < 12 - 18

2 x < - 6

divide by 2 both sides:

x < - 3

5 x + 2 >= - 18

subtract 2 from both sides:

5 x >= - 20

divide both sides by 5:

x >= -4

so this tells us that we want x values larger than or equal to -4 and x values smaller than -3.

So, please allow me to plot these two sections and see if there is an intersection of both sets:. The graphing can take a little time, so please be patient.

Notice that we have highlighted in green the section of the number line with x-values to the RIGHT of -4 (and also including the "-4" point with a "solid dot".

On the other extreme of this segment we see an "empty dot" at the point -3 on the number line. In this case we are NOT including the value "-3" as per the inequality that asks for x numbers strictly smaller than -3 (so to the left of "-3" NOT including "-3" (represented by the empty dot.

So the graph of the compounded inequality is given above, and the mathematical way to express it is:

- 4 <= x < - 3

Answer:

Area = 0.785 yrd

Circumference = 12.56 yrd

Step-by-step explanation:

Diameter = 1 yrd

Area of a circle = pi times the radius squared

A = 3.14 (1/2)^2

A = 0.785

Circumference of a circle = 2 times pi times the radius

C = 2(3.14)(1/2)

C = 12.56

The prime factors of 625 and 1000 are listed below

1000: 2 * 2 * 2 * 5 * 5 * 5

625: 5 * 5 * 5 * 5

reducing 625/1000 gives 5/8

The prime numbers that divide a positive integer exactly are said to be its prime factors. Integer factorization, often known as prime factorization, is the process of locating these integers.

The prime factorization of 625 and 1000 are

1000: 2 * 2 * 2 * 5 * 5 * 5

625: 5 * 5 * 5 * 5

Reducing 625 / 1000

= (5 * 5 * 5 * 5) / ( 2 * 2 * 2 * 5 * 5 * 5 )

= 5 / (2 * 2 * 2)

= 5 / 8

the term 625 / 1000 is reduced to 5/8

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\(\huge\underline{\frak{ \: \: \: \: \: \: Solution : \: \: \: \: \: \: }} \\ \\ \)

\(\frak {\pink{Let}}\begin{cases} \sf{\red{Breadth \: be \: x}}\\ \sf{\orange{The \: Length = x + 9}}\end{cases} \\ \)

\(\bigstar \: \underline{\textsf{According to the given Question :} }\\ \\\)

\(:\implies \sf Area = Length \times Breadth \\ \\ \\ \)

\(:\implies \sf 360=(x + 9 ) x \\ \\ \\ \)

\(:\implies \sf 360= {x}^{2} + 9x \\ \\ \\ \)

\(:\implies \sf {x}^{2} + 9x - 360 = 0\\ \\ \\ \)

\(:\implies \sf {x}^{2} + 24x - 15x - 360 = 0\\ \\ \\ \)

\(:\implies \sf x(x + 24) - 15(x + 24) = 0\\ \\ \\ \)

\(:\implies \sf (x + 24) \: (x - 15) = 0\\ \\ \\ \)

\(:\implies \underline{ \boxed{ \sf x = - 24 \: or \: x = 15}}\\ \\ \\ \)

\(\therefore\:\underline{\textsf{Ignoring the negative value, the Breadth of rectangular garden is \textbf{15 ft}}}. \\ \\ \\ \)

\(\bigstar \: \underline{\textsf{Dimensions of rectangular garden :}} \\ \\ \)

\(\bullet\:\:\textsf{The Breadth of rectangular garden = x = \textbf{15 ft.}} \\ \\ \)

\(\bullet\:\:\textsf{The Length of rectangular garden = x + 9 = 15 + 9 = \textbf{24 ft.}} \\ \\ \)

Answer:

y= 4x + 9

Step-by-step explanation:

y= 4x+5

y= 4(x+ 5/4)

m, gradient= 4

rule if parallel: their gradients are equal

rule if perpendicular : m1*m2=-1

parallel gradient, m1=4

passes through (-2, 1) so x= -2,  y= 1

y - 1= 4(x -- 2)

y= 4x + 9

The line parallel to y= 4x+ 5 passing through point (-2, 1) is y = 4x + 9

The given equation is:

y = 4x + 5

Compare y = 4x + 5 with the equation y = mx + c

m = 4, c = 5

The equation parallel to y = 4x + 5 will also have a slope, m = 4

The point-slope form of the equation of a line is given as:

y - y₁ = m(x - x₁)

substitute m = 4, x₁ = -2 and y = 1 into the equation above

y - 1 = 4(x - (-2)

y - 1 = 4(x + 2)

y - 1 = 4x + 8

y = 4x + 8 + 1

y = 4x + 9

Therefore the line parallel to y= 4x+ 5 passing through point (-2, 1) is y = 4x + 9

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