Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 400 minus quantity y minus 110 end quantity squared over 2304 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number. please help look at the image


100 meters
50 meters
48 meters
40 meters

We were told that Mr. Newman packed 16 large - size ornaments and 29 medium - size ornaments into a box. This means that the number of large and medium ornaments in each box is 16 + 29. Given that there were 13 boxes and x represents the total number of ornaments, the equation would be

x = (16 + 29)13

x = 45 * 13

x = 585

Option F is correct

Answer: she has been in book club for 3 months

Step-by-step explanation:

The reason is that she can read 10 books in one months than you would multiply it by three.

Answer:

3 months

Step-by-step explanation:

20:2/2=

10:1

10:1 x 3 = 30:3

30 books= 3 months.

Answer:

see explanation

Step-by-step explanation:

given that W varies jointly with l and d² then the equation relating them is

W = kld² ← k is the constant of variation

(a)

to find k use the condition W = 6 when l = 6 and d = 3 , then

6 = k × 6 × 3² = 6k × 9 = 54k ( divide both sides by 54 )

[tex]\frac{6}{54}[/tex] = k , then

k = [tex]\frac{1}{9}[/tex]

W = [tex]\frac{1}{9}[/tex]ld² ← equation of variation

(b)

when W = 10 and d = 2 , then

10 = [tex]\frac{1}{9}[/tex] × l × 2² ( multiply both sides by 9 to clear the fraction )

90 = 4l ( divide both sides by 4 )

22.5 = l

(c)

when d = 6 and l = 1.4 , then

W = [tex]\frac{1}{9}[/tex] × 1.4 × 6² = [tex]\frac{1}{9}[/tex] × 1.4 × 36 = 1.4 × 4 = 5.6

Step-by-step explanation:

Kyle can do in 1 minute 1/30 of the work.

Michael can do in 1 minute 1/40 of the work.

the whole work is 1.

how much can they do together in 16 minutes ?

16×1/30 + 16×1/40 = 8/15 + 2/5 = 8/15 + 3/3 × 2/5 =

= 8/15 + 6/15 = 14/15

which is less than 1 = 15/15.

so, as they cannot even do the whole work in 16 minutes, they cannot do it in less than 16 minutes either.

Division of f(x) = x³ - x² - 2x + 8 by (x-1) will have a quotient of x² - 2 and a remainder of 6.

The remainder theorem states that if f(x) is divides by x - a, the remainder is f(a).

We shall divide the f(x) = x³ - x² - 2x + 8 by x - 1 as follows;

x³ divided by x equals x²

x - 1 multiplied by x² equals x³ - x²

subtract x³ - x² from x³ - x² - 2x + 8 will result to -2x + 8.

-2x² divided by x equals -2

x - 1 multiplied by -2 equals -2x + 2

subtract -2x + 2 from -2x + 8 will result to a remainder of 6, and a quotient of x² - 2.

f(1) = (1)³ - (1)² - 2(1) + 8

f(1) = 1 - 1 - 2 + 8

f(1) = 6

Therefore, f(1) is a remainder of as x - 1 divides f(x) = x³ - x² - 2x + 8 resulting to a quotient of x² - 2 and a remainder of 6

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George made 75 percent of the shots.

First, let us understand the percentage:

A percentage is a fraction of a whole expressed as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent.

To determine a percentage, we need to divide the portion of the whole by the whole itself and multiply by 100.

We are given the following:

George shot the basketball 20 times in his game on Saturday.

Of those 20 shots, he made 15.

We need to find the percentage of the shots George made.

The percentage of shots George made is given by:

Percentage = 15 / 20 * 100 = 15 * 5 = 75 %

So, 75 % of the shots did George make.

Thus, George made 75 percent of the shots.

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1750 megabytes has been downloaded.

What do you mean by percentage?

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If you need to calculate the percentage of a number, divide the number by the whole number and multiply by 100. Percentages therefore mean 1 in 100. The word percent means around 100. Represented by the symbol '%'.Percentages have no dimension. Hence it is called a dimensionless number.

It is given that 273 megabytes has been downloaded and it is 15.6% of complete.

Let x be the complete storage

15.6% of x = (15.6/100) × x

(15.6/100) × x  = 273

x = (273/15.6) × 100 = 2730/15.6 =  1750

Therefore, 1750 megabytes has been downloaded.

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Answer:

12

Step-by-step explanation:

nate's age=6

connor's age =6+6=12

Nate's age +connor's age =24

Nate's age=24÷3=8

connor's age=8+8=16

the sum of thier ages =24

The cost of a jar of peanut butter is $2.36.

Let cost of one jar of jelly be x and the cost of jar of peanut butter be y.

According to question, total cost of 4 jars of jelly and 6 jars of peanut butter is $19.32.

So, 4x+6y = 19.32 ..............(i)

According to question again, the cost of 3 jars of jelly and 5 jars of peanut butter is $15.67.

So, 3x+5y = 15.67 ...........(ii)

4*(ii) - 3*(i) we get,

12x+20y - (12x+18y) = 62.68 - 57.96

2y = 4.72

y = 4.72/2 = 2.36

Substituting the value of y in (i) we get,

4x+6*2.36 = 19.32

4x+14.16 = 19.32

4x = 19.32-14.16

4x = 5.16

x = 5.16/4

x = 1.29

Hence the cost of jar of peanut butter is $2.36.

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(7, -3) are the coordinates of R' after dilation with center (0, 0) and with the scale factor of 2.

A graph's basic relationship is represented by a point.

A pair of numbers containing two coordinates define each point.

A coordinate is one of a set of numbers used to locate a point on a graph.

Each point is assigned an x and a y coordinate.

Each point is identified by an ordered pair of numbers: an x-coordinate on the x-axis and a y-coordinate on the y-axis.

Parentheses indicate ordered pairs (x-coordinate, y-coordinate).

The starting point is at (0,0).

The horizontal and vertical distances from the two reference axes are used to describe the position of a point on a coordinate plane.

So, after dilation with center (0, 0) and with the scale factor of 2, the coordinates will be:
R' are (7, -3)

P' are (4,-3)

Q' is (4,4)

Hence,  the coordinates of R are (7, -3).

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Explanation:

The y-intercept is the point where the line crosses the y-axis. This always happens when x = 0.

In this case x = 0 represents 0 days. The y-intercept is 400 pages remaining

Answer:

The answer is option a. At 0 days there are 400 pages remaining

B. 3y = 2x – 9

is not perpendicular to the given line.

The slopes of perpendicular lines are negative reciprocals

Given the line

y = -1.5x + 11

The slope is -1.5 or -3/2

Any line perpendicular to the one above must have its slope as 2/3

A. The slope is 2/3 . CORRECT

B. The slope is 2/3. CORRECT

C. The slope is 3/2. WRONG

D. The slope is 2/3. CORRECT

Given the expression:

The term that involves the variable x is x^3/2.

Let's determine its coefficient:

Therefore, the coefficient of the term that involves the variable x is 1/2.

Factorization  of 49n^3 -- 25m^3 is (5m + 7n) × (5m - 7n)

A difference of two perfect squares,  A2 - B2  can be factored into  (A+B×(A-B)

(A+B) • (A-B)

=   A2 - AB + BA - B2

= A2 - AB + AB - B2

= A2 - B2

AB = BA is the commutative property of multiplication.

- AB + AB equals zero and is therefore eliminated from the expression.

⇒ 25  is the square of  5

⇒ 49 is the square of 7

⇒ m2  is the square of  m1

⇒ n2  is the square of  n1

Hence, The Factorization is (5m + 7n) × (5m - 7n)

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Using <, >, or = to compare each pair of expressions, we get:

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

It's possible to multiply, divide, add, or subtract with this mathematical operation.

So, using <, >, or = to compare each pair of expression:

Given expressions: (-5)², -5² (-5)³, -53

Then,

(A) (-5)²__-5² (-5)³

(B) -5² (-5)³ __ -53

(C) (-5)² __ -53

Now calculate as follows:

(A) (-5)²__-5² (-5)³

25 __ 25(-125)

25 > -3,125

(B) -5² (-5)³ __ -53

-3,125 < -53

(C) (-5)² __ -53

25 > -53

Therefore, using <, >, or = to compare each pair of expressions, we get:

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Answer:

R: {y | -11 ≤ y < 11}

Step-by-step explanation:

Range is going to include the possible output values in regards to the Y-axis on the graph. As far as when to use equal to and not, the open circle means it does NOT include that number, since the circle is not colored in on that number, while the full circle DOES include that number, and that is when you would introduce the equal than.

Hope this helps.

The right answer to your question is b: 10-2=8 which is a counting number

To obtain the surface area of a triangular prism, the formula to employ is:

From the image, a=18in, b=21in, c =15in and h=12in

We have to obtain the value of 's' first, from the equation:

The final step is to obtain the area of the triangular, having gotten the values needed to be inputted in the formula;

Hence, the surface area of the triangular prism is 912.54 square inches

Answer 3rd one

Step-by-step explanation:

The m∠2 is m∠2 = 14°.

What is degree measure?

Since an angle is measured in degrees, the term "degree measure" is used. Since 360 degrees make up one full revolution, it is divided into 360 equal sections. A degree is what the revolution is at each stage.

As given in the figure,

m ∠WHI = 160°,

m ∠EHI = 104°

m ∠THE = 42°

We have to find the m ∠2

From figure,

m ∠WHI = m ∠WHT + m ∠THE + m ∠EHI

m ∠WHT = m ∠WHI - m ∠THE - m ∠EHI

m ∠WHT = 160° - 42° - 104°

m ∠WHT = 14°

Hence the measure of angle 2 is, m ∠2 = 14°.

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The total amount of water Nicholas drank is 47/ 30 liters of water.

Given : Amount of water Nicholas drinks in the morning = 2/3 liters

Amount of water he drinks at lunch = 1/2 liters

Amount of water he drinks during his basketball practice = 2/5 liters

Thus to calculate the total amount of water he drank in the whole we would you the operation of addition in which we will add all the above mentioned value.

The value which comes after adding all of the above mentioned numbers is called sum .

Thus the total amount of water Nicholas drank = 2/3 + 1/2 + 2/5

On taking the LCM we will get

= [tex]\frac{20 + 15 + 12}{30}[/tex]

= 47 / 30

Thus the total amount of water Nicholas drank is 47/ 30 liters of water.

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Answer: Intenisy = 83.2 milliroentgens per hour

Let the intensity from the radiation = I

Let the distance = d

The intensity is inversely proportional to the square of its distance

Answer:

The missing number: 6

The property used: Distributive Property of Multiplication

Explanation:

Given the below;

The below shows an example of the distributive property of multiplication;

Applying the distributive property in the given equation, we can see that;

So the missing number is 6 and the equation can be written as;

Ecuaciones

Llamemos x al primer número del camión y y al segundo número.

Tenemos que su suma es 11, así que:

x+y=11

También sabemos que su producto es 24:

xy=24

De esta forma, tenemos un sistema de ecuaciones. Vamos a despejar la x de la primera ecuación:

x=11-y

Y la reemplazamos en la segunda:

(11-y)y=24

Operamos y ordenamos el poninomio para formar la ecuación cuadrática:

Para hallar las soluciones de esta ecuación, tomemos los coeficientes de la ecuación de segundo grado:

a=1, b=-11, c=24

Y aplicamos la fórmula resolvente

Tenemos dos posibles respuetas:

y=16/2=8

y=6/2=3

Sustituimos ambas respuestas para hallar x:

x=11-y

x=11-8=3

x=11-3=8

En cualquier orden que los tomemos, los números del camón eran 3 y 8

Given:

-325 - (-725)

We know that negative negative equals positive

(- -) = +

Therefore, we have:

-325 - (-725)

= -325 - -725

= -325 + 725 = 400

ANSWER:

400

The theoretical probability is given by 1 over the number of hobbies.

If there is a total of 8 hobbies, the probability of a student having a specific hobby is:

The experimental probability is given by the number of students with that hobby over the total number of students. If 3 students have the hobby roller skating among the 24 students surveyed, the probability is:

Answer:

23

Step-by-step explanation:

Although both fluid ounces and quarts are measurements for volume, the mug would be a very small fraction of a quart.

Thereby, the most likely unit of measurement used for the capacity of a mug would be fluid ounces.

ABC's vertices are points A, B, and C. ABC's sides are made up of the AB, BC, and CA segments.

Determine the length of the median across vertex A of triangle ABC, which has vertices A (7,3), B (5,3), and C.

Assume M(x,y) represents the ABC median from A to BC.

M will be the point at which BC splits in half.

x 1​ =5, y1 =3

x 2 =3,y2 =−1

Using the midpoint formula, x=(x 1 + x 2)/2

∴x=(5+3)/2=8/2=4

Using the midpoint formula, y=(y 1 + y 2 )/2

∴y=(3+(−2))/2=2/2=1

Consequently, M's coordinates are (4,1).

The distance formula reads d(AM)=

By distance formula, d(AM)=  √[(x2 - x1)² + (y2 -y1)²]

x1 = 7,y1 = -3

x2 = 4,y2 = 1

∴d(AM) = √[(4- 7)² + (1 - (-3)²]

∴d(AM) = √(-3)² + (4)² = √9 + 16

∴d(AM) = √25 = 5

As a result, the median AM is 5 units long.

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Step 1

State the equation of a circle

Where

h= -7

k= 7

Step 2

Find r

r is the distance between the origin and (-7,7)

Distance between 2 points is

Hence the distance is given as

Hence r =7√2

Step 3

Write the equation in standard form after substitution.