In a city, there are 8 public and 3 private swimming pools. On weekends, 5 of the pools are open.
Brendan says that the ratio of pools open on weekends to the total number of pools is 5:8. Cyndi says the ratio of
pools open on weekends to the total number of pools is 5:16.
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Is either student correct? Use the drop-down menus to complete the statements.
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There are Choose... pools open on the weekend out of the Choose... total pools. Choose...
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Answer:

B)13

Step-by-step explanation:

Answer:

Peter would be 13 years old.

Step-by-step explanation:

Consecuencia de 5^3 - 3 √(375 ÷ 3) + (7 + 2)^2 - 9^11 ÷ 9^9 es 91.46.

Potencias es una operación matemática para la multiplicación repetida de un número tanto como el rango. El rango de un número es un número que se escribe más pequeño y se ubica ligeramente hacia arriba. Basado en la semántica de escribir letras se llama superíndice, por ejemplo: 2², 3², 4³ y otros. En inglés, el exponencial se llama "potencia" o "exponente".

5³=125

3√(375:3) =3√125=3√5³= 3.5^3/2

(7+2) ²=9²=81

9¹¹÷9^9=9²=81

5³ - 3 √(375 ÷ 3) + (7 + 2)² - 9¹¹ ÷ 9^9= 5³-3.5^3/2+81-81 =125-3√125=125-(3(11.18) = 125- 33.54=91.46

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The equation that describe the circle of radius 3 centered at (9, 2, 1) that is parallel to the x y-plane is (x - 9)² + (y - 2)² = 9.

We know that the given coordinates correspond to a sphere.

The x, y coordinates for our search for a circle parallel to the x-y plane are (x, y) = (9, 2)

The circle's standard equation is (x - h)²+ (y - k)² = r², where h and k are the circle's x and y coordinates, respectively, and r is its radius.

So, we have:

h = 9 ;

k = 2 ;

r = 3;

the solution is (x - 9)² + (y - 2)² = 9.

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Step-by-step explanation:

x = number of games played

c = total cost of game session

x = (c - 5)/1.25

we need to deduct the R 5 entrance fee from the total price (as this has to be paid, even if he did not pay a single game in there).

and for the remaining amount we check how often the price of 1 game fits into this renaming amount. and then we know the number of games he played.

in our specific situation c = 26.25

x = (26.25 - 5)/1.25 = 21.25/1.25 = 17

Melvin played 17 games.

The concentration of the solution is 250,000 parts per million (ppm).To calculate the concentration of a solution in parts per million (ppm), we need to determine the amount of solute (in this case, sodium chloride) in relation to the total mass of the solution. The formula for calculating ppm is:

ppm = (mass of solute / mass of solution) * 10^6

Given that 25.0 grams of sodium chloride is dissolved in 100 grams of solution, we can substitute these values into the formula:

ppm = (25.0 g / 100 g) * 10^6

Simplifying the expression:

ppm = 250,000 ppm

Therefore, the concentration of the solution is 250,000 parts per million (ppm).

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Answer:

(a+k(x-a), b+k(y-b))

I = (5, 5)

N = (8, 3)

R' = (5, 3)

O' = (9, 1)

S' = (11, 9)

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The arrows on lines AB and CD indicate that these 2 shapes are similar and these 2 lines are corresponding so :

Linear scale factor :

12 ÷ 10 = 1.2 or 6/5

Let's use the fraction form

Using the linear scale factor we can make an equation to solve for x :

2x+4 = 6/5(x+8)

Expand the brackets :

2x+4 = 6/5x + 9.6

Subtract 4 from both sides :

2x = 6/5x + 5.6

Subtract 6/5x from both sides :

4/5x = 5.6

Divide both sides by 4/5 :

x = 7

Now substitute this value into the expression for the length of AE :

AE = 2(7) + 4

AE = 14 + 4

AE = 18

Hope this helped and have a good day

Answer:

116 units

Step-by-step explanation:

AE + ED = 180 because they make a straight angle and a straight angle is 180 degrees or half of a circle 360/2.

AE = 2x + 4 and ED = x +8 added together they equal 180

2x + 4 + x + 8 = 180  Combine the like terms

3x + 12 = 180  Subtract 12 from both sides of the equation

3x = 168  Divide both sides by 3

x = 56

Now that we know that x is 56 we can plug that in for AE to find its length

2x + 4

2(56) + 4

112 + 4

116

Answer:

ASA

Step-by-step explanation:

there is one more angle, which is the vertical opposite.

To check whether the given lines are parallel, perpendicular, skew or neither, we will find their direction vectors. If the direction vectors are parallel, then the lines are parallel. If the direction vectors are perpendicular, then the lines are perpendicular. If the direction vectors are neither parallel nor perpendicular, then the lines are skew. If the direction vectors of one line is parallel to the vector joining two points of the other line, then the lines are neither parallel nor perpendicular.

Line 1:x=t−3, y=3t+8, z=5−2tThis line can be written as(r_1): r= a_1+ t u_1where r_1 is the position vector of any point on the line. a_1 = i(-3) + j(8) + k(5) = -3i + 8j + 5k is the point of intersection of the line with the coordinate axis. And u_1 is the direction vector of the line.u_1 = i + 3j - 2k

Line 2: x=2s−1, y=s−1, z=s−4This line can be written as(r_2): r= a_2+ s u_2where r_2 is the position vector of any point on the line. a_2 = i(-1) + j(-1) + k(-4) = -i - j - 4k is the point of intersection of the line with the coordinate axis. And u_2 is the direction vector of the line.u_2 = 2i + j + k Now we will find the direction vectors of the two lines and then check their properties. The direction vectors of the lines areu_1 = i + 3j - 2ku_2 = 2i + j + kSince the direction vectors are not parallel, we need to check whether they are perpendicular or not.u_1.u_2 = (i + 3j - 2k).(2i + j + k) = 2 + 3 - 2 = 3Since u_1.u_2 is not equal to zero, the two lines are neither parallel nor perpendicular to each other. Therefore, the lines are skew lines.

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Note: Your function is missing some information. It seems your function is

\(f\left(x\right)=\frac{-3}{x}+7\).

So, I am solving the question based on the function \(f\left(x\right)=\frac{-3}{x}+7\),  because it would still solve your query.

Answer:

Please see the explanation.

Step-by-step explanation:

Given the function

\(f\left(x\right)=\frac{-3}{x}+7\)

A function g is the inverse of a function f for y = f(x), x=g(y)

\(y=\frac{-3}{x}+7\)

Replace x with y

\(x=\frac{-3}{y}+7\)

solve for y

\(y=-\frac{3}{x-7}\)

so the inverse of \(f\left(x\right)=\frac{-3}{x}+7\) will be:

\(f^{-1}\:\left(x\right)=-\frac{3}{x-7}\)

Finding the domain of \(f^{-1}\:\left(x\right)=-\frac{3}{x-7}\)

As we know that domain is the set of the possible input values where the function is defined.

so the function domain must be: \(x<7\quad \mathrm{or}\quad \:x>7\)

Therefore,

\(\mathrm{Domain\:of\:}\:-\frac{3}{x-7}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<7\quad \mathrm{or}\quad \:x>7\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:7\right)\cup \left(7,\:\infty \:\right)\end{bmatrix}\)

The correct for confidence interval is A. [25.8158, 28.1842].

The percentage (frequency) of acceptable confidence intervals that include the actual value of the unknown parameter is represented by the confidence level. In other words, a limitless number of independent samples are used to calculate the confidence intervals at the specified level of assurance.

To find the 95% confidence interval for the population mean, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value) × (Standard Deviation / √(Sample Size))

Since the sample size is large (n = 36), we can use the z-score critical value for a 95% confidence level. The z-score for a 95% confidence level is approximately 1.96.

Plugging in the values:

Sample Mean = 27

Standard Deviation = 3.5

Sample Size = 36

Critical Value (z-score) = 1.96

Confidence Interval = 27 ± (1.96) × (3.5 / √36)

Calculating the confidence interval:

Confidence Interval = 27 ± (1.96) × (3.5 / 6)

Confidence Interval = 27 ± (1.96) × (0.5833)

Confidence Interval = 27 ± 1.1417

Confidence Interval = [25.8583, 28.1417]

Therefore, the correct answer is A. [25.8158, 28.1842].

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The mode is usually better for understanding categorical data.

The mode is a statistical measure used to identify the most frequently occurring value or category in a dataset. It is particularly useful when dealing with categorical or qualitative data, where values are divided into distinct categories or groups. Categorical data does not have a numerical value but represents different groups or labels. Examples of categorical data include gender (male or female), color (red, blue, green), or educational level (high school, college, graduate).

The mode is particularly suited for understanding categorical data because it provides information about the most common category or group within the dataset. By identifying the mode, we can determine the category that occurs with the highest frequency, allowing us to gain insights into the distribution and prevalence of different groups. This can be helpful in various fields and applications, such as market research, social sciences, or customer segmentation. The mode helps researchers or analysts understand the most prevalent category, making it a valuable tool for understanding categorical data.

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1/2πx2

The area of a circle is defined by πr2, and given the diameter, we must also multiply it to pi and square the value only after getting half of the value x.

Answer:

35 + 3x

Step-by-step explanation:

we mark the number of sets of laces as x, each pf those costs 3$, so in total - 3x$

we add that to the 35$ of the shoes and get:

35+3x

Answer: 6+1=7

Step-by-step explanation:

The measure of the reflected angle is equal to the measure of the original angle

An image or figure reflected are mirror images of each other. While the coordinate points of the vertices of a figure are affected by reflection, the angles remain the same.

Hence if an angle is reflected across the y−axis, the measure of the reflected angle is equal to the measure of the original angle

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Answer: 54°

Step-by-step explanation:

We can see that this triangle is a right triangle (look at the little square in the triangle's corner-- that tells us that it's a right angle). A right angle is 90°

A triangle always has 180° in total.

So, we can add 90° and 36° and subtract the sum from 180°

180° - (90° + 36°) = 180° - 126° = 54°

Answer:

x = 54

Step-by-step explanation:

One of the properties for any triangle is that the sum of angles in the triangle will always equal 180 degrees. As one can see, one of the angles is (90) degrees, this is indicated by the box around the angle. It is given that one of the other angles is (36) degrees. One can call the unknown angle (x) and form an equation. Substitute in the given values and solve for (x).

(90) + (36) + (x) = 180

Simplify,

126 + x = 180

Inverse operations,

126 + x = 180

-126       -126

x = 54

There are 160 different combinations of 2 snacks and 1 drink that can be chosen if you can't pick the same snack twice.

What is the combination?

Combinations are a way to count the number of ways to choose a subset of objects from a larger set, where the order of the objects does not matter.

Since you can't pick the same snack twice, the first snack can be chosen in 5 ways, and the second snack can be chosen in 4 ways (since there are only 4 remaining choices after choosing the first snack). The drink can be chosen in 8 ways.

Using the multiplication principle of counting, the total number of different combinations of 2 snacks and 1 drink is:

5 × 4 × 8 = 160

Therefore, there are 160 different combinations of 2 snacks and 1 drink that can be chosen if you can't pick the same snack twice.

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The value of the expression is r'(t) = (4, 6t, 12t²), T(1) = (2/7, 3/7, 6/7), r''(t) = (0, 6, 24t), r'(t) ร r''(t) = 144t³.

We are given the vector-valued function r(t) = (4t, 3t², 4t³).

To find r'(t), we need to take the derivative of each component of r(t) with respect to t:

r'(t) = (d/dt)(4t), (d/dt)(3t²), (d/dt)(4t³)

r'(t) = (4, 6t, 12t²)

To find T(1), we need to evaluate r'(t) at t = 1 and then divide by the magnitude of r'(1):

r'(1) = (4, 6(1), 12(1)²) = (4, 6, 12)

| r'(1) | = sqrt(4² + 6² + 12²) = sqrt(196) = 14

T(1) = r'(1) / | r'(1) | = (4/14, 6/14, 12/14) = (2/7, 3/7, 6/7)

To find r''(t), we need to take the derivative of each component of r'(t) with respect to t:

r''(t) = (d/dt)(4), (d/dt)(6t), (d/dt)(12t²)

r''(t) = (0, 6, 24t)

Finally, to find r'(t) ร r''(t), we need to take the dot product of r'(t) and r''(t):

r'(t) ร r''(t) = (4, 6t, 12t²) ร (0, 6, 24t)

r'(t) ร r''(t) = 0 + 6t(6t) + 12t²(24t)

r'(t) ร r''(t) = 144t³

Therefore, we have:

r'(t) = (4, 6t, 12t²)

T(1) = (2/7, 3/7, 6/7)

r''(t) = (0, 6, 24t)

r'(t) ร r''(t) = 144t³

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Answer:

Multiple

4

By

N

Step-by-step explanation:

Answer:

86 would be the answer

Step-by-step explanation:

you add all the numbers then subtract by the number of number

Answer: 86 minutes

Step-by-step explanation:

To find the mean of something, you always add up the values and then divide by the amount.

So, in total there are 430 minutes because (170+150+45+30+35=430)

There are five different towns.

430/5=86

For the given parallelogram of 5-inch side and an 8-inch side  with an angle of 50-degree , the area of the parallelogram is equal to 30.64 square inches and the lengths of its diagonals are 11.85inches and 6.13 inches.

As given in the question,

Side lengths of the parallelogram are :

From the attached diagram we have,

Side AC = 5 inches

Side CD = 8 inches

Angle ACD = 50°

Draw altitude 'h' from vertex A to the base CD at point E.

Length of CE = x inches

In ΔACE,

sin 50° = h / 5

⇒ h = 5 sin 50°

⇒ h = 5 (0.766)

⇒ h = 3.83 inches

cos 50° = x/ 5

⇒ x = 5 cos 50°

⇒ x = 5 ( 0.6428)

⇒ x = 3.214 inches

Length of diagonal BC

BC = √ h² + ( 8 + x )²

     = √(3.83)² + ( 8 + 3.214)²

     = √140.422696

     ≈ 11.85 inches

Length of diagonal AD

AD = √ h² + ( 8 -x )²

     = √(3.83)² + ( 8 - 3.214)²

     =√37.574696

     ≈ 6.13 inches

Area of a parallelogram ABCD

= height × corresponding base

= 3.83 × 8

= 30.64 square inches

Therefore, for the given parallelogram of 5-inch side and an 8-inch side  with an angle of 50-degree , the area of the parallelogram is equal to 30.64 square inches and the lengths of its diagonals are 11.85inch and 6.13 inch.

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Step-by-step explanation:

म नजन्मिदै विधवा भएकी हिमाल

खै! किन हो मेरा यी हेर्ने नयनले उनलाइ

अझै पनि दिन र रातमा

सेतै लुगा पहिरिएकी देख्छ

अचम्म लाग्छ मलाइ पहिरिएकी सेतो लुगा माथि

मुनालले पाइला टेके पनि विष्ठा गरे पनि कहिल्यै

मैलो हुदैन सेतो लुगाको वास्तविक रङ

उत्तिकै सेतो देख्छु म

निर्जीव वस्तु भएनी हिमाललाइ

सजीव मनुस्यको जस्तै चोटको कल्पना गरेको छु मैले

किनकी चोटै चोटले ग्रसित भएकी उनी आजभोली

अपाङ्गको सिकार बनिसकेकी छिन

उनलाइ अन्धो भन्छु म किनकी उनी आँखा देख्दैनन

आँखा नदेखे पनि अरु कसैलाइ सुम्सुम्याउन समेत सक्दैनन

तर पनि कस्तुरी, डाफे,मुनाल,घोरल,चितुवा आदि जनावरहरुको

सहारा दिने आश्रय स्थल भएर उभिएकी छिन, के कम छिन र?

जमिन भित्र उनको खुट्टा गाडिएर होला

खुट्टाको दृश्य मैले अझै पनि देख्न पाएको छैन

कस्तो होला है! हिमालको खुट्टा ? सोचिरहन्छु म

सायद खुट्टा नै छैन र पो कहिल्यै पनि हिड्डुल गर्न सक्दैनन कि?

जब कुनै समयमा चुचुरोमा हावा बहन थाल्यो

एकदिन सेतो कपाल धरतीमा हाम फालेर

नदिहरु बढ्न थाले तर उहीँ बहेको हावाले

हिमालको श्रवण गर्ने कानको जाली

नै फुटाइदिएछ त्यही भएर म भन्छु

हिमाललाइ बहिरो पनि हुनुहुन्छ तपाईं

सधै टोलाएर बसेकी देख्छु म

रोजगारी भन्ने कुरा त उहीँ हो हिमाललाइ

बिहानीपख देखि सन्ध्या काल सम्म

प्रकृतिले बसिबसी ऐना टल्काउने

पदभार ग्रहण गराइदिएको छ जब घाम

झुल्किन्छ उनी अस्ताउन्जेल सम्म ऐना टल्काइरहन्छिन्

त्यसैले म भन्छु हिमाललाइ बिधवा भएर के भो त

खान लाउनको लागि रोजगारी मिलेकै छ क्यारे !

Answer:

x = -5

Step-by-step explanation:

12x - 3x + 4 = 5x - 16

9x + 4 = 5x - 16

9x - 5x = -4 - 16

4x = -20

x = -5

Answer:

\(x=-5\)

In quantitative research, data collection from the same respondents at 2 or more points (waves) in time is referring to "longitudinal."

A method for gathering and interpreting numerical data is known as quantitative research. It can be used to discover patterns and averages, to make predictions, to verify causal linkages, and to generalize results to larger groups.

Some features regarding quantitative research are-

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The coordinates of B is (1,-3) .

It is given that midpoint of AB is (3, -1) and coordinates of A is (5, 1) .

Let the coordinate of B be (x, y) .

By using midpoint formula , we get

\((3, -1)=(\frac{5+x}{2} , \frac{y+1}{2} )\\\)

On comparing , we get the x- coordinate

   \(\frac{5+x}{2} =3\\\5+x=6\\x=1\)

On comparing , we get the y- coordinate

\(\frac{1+y}{2} =-1\\\\1+y=-2\\y=-3\)

Hence , the coordinates of B is (1,-3) .

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Answer:

  (a)  $1049.15

Step-by-step explanation:

You want to know the interest earned by an account that pays 3.2% interest compounded semiannually if the balance is $6049.15 after 6 years.

The formula for the balance of an account earning compound interest is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

We have ...

  6049.15 = P(1 +0.032/2)^(2·6) = P(1.016^12)

The amount of interest earned is the difference between the account balance and the principal:

  interest = 6049.15 -(6049.15/1.016^12) ≈ 1049.15

The total amount of interest earned is $1049.15.

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Answer:It is D Step-by-step explanation: