central middle school has a triangular patio where students eat lunch. A scale drawing of patio is showing. The scale is 1 in. : 9 ft.

Answer:

7n - 40

Step-by-step explanation:

The net gain per bottle is the sale price ($11) minus the costs ($4). 11-4=7

Profits per bottle are $7, with n representing total bottles sold, total sales revenue is 7n.

A fixed expense of $40 for advertising is subtracted from the revenues, and the order of operations makes the net gain 7n – 40.

Let Q be the point (a, b). Since the midpoint of P (2, 3) and Q (a, b) is (4, 6), we have

(2 + a)/2 = 4

(3 + b)/2 = 6

Solve for a and b :

(2 + a)/2 = 4

2 + a = 8

a = 6

(3 + b)/2 = 6

3 + b = 12

b = 9

So the coordinates of Q are (6, 9).

Answer: 26 inches is equivalent to 660.4 millimeters.

Step-by-step explanation:

You will multiply the inches by the conversion.

\(26in*25.4mm=660.4mm\)

Therefore, the answer is 660.4 millimeters.

I hope this helps!! Pls mark brainliest :)

To write the expression with a rationalized denominator, you need to eliminate the square root from the denominator. Here's the expression you provided: (3√2) / (3√4). Let's rationalize the denominator step by step:

1. Evaluate the square root in the denominator: √4 = 2.
  So, the expression becomes: (3√2) / (3 * 2).

2. Simplify the denominator: 3 * 2 = 6.
  The expression now is: (3√2) / 6.

3. Since there is no square root in the denominator, it is already rationalized.

So, the expression with a rationalized denominator is (3√2) / 6.

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Answer:

x 8/9

Step-by-step explanation:

Answer: x^2/3 or C

Step-by-step explanation:

edge 2021

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

3 to the 8 power as a power with a base of 81 can be written as 81²

Definition of exponent?

An exponent tells how many times a number must be multiplied by itself.

Exponents are also called powers or indices. It is usually written as a superscript to the right of the base.

3 to the 8 power is 3⁸

3⁸ = 3 × 3 ×3 × 3 × 3 x 3 x 3 x 3

   = (3 × 3 ×3 × 3 ) × ( 3 x 3 x 3 x 3)

  =  81 × 81 = 81²

Therefore, 81² is the form in which we can write 3 to the 8 power as a power with a base of 81

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The number of students who have taken either calculus or discrete mathematics is 369.

Calculus is a branch of mathematics that includes the observation of prices of change. Earlier than calculus was invented, all math was static: it could most effectively help calculate objects that were perfectly nevertheless. but the universe is continuously shifting and changing.

A number of students who choose either calculus or discrete mathematics = Number of students who choose calculus + Number of students who choose discrete mathematics - Number of students who choose Calculus and discrete mathematics.

Number of students who choose either calculus or discrete mathematics = 345 + 214 - 190

Number of students who either choose calculus or discrete mathematics = 369

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Answer:

21 degrees

Step-by-step explanation:

The inscribed angle theorem states that when two cords (lines in a circle) make contact with the circumference of the circle (outer edge), and the two cords do not pass through the center of the circle, then the angle between the two cords is equal to half of the length of its surrounding arc. This means that the measure of arc (WV) is half of the measure of angle (WXV). Therefore, one can form an equation and solve for the length of the arc (WV).

2 (WV) = (m<WXV)

Substitute,

2 (WV) = (42)

Inverse operaitons,

2 (WV) = (42)

/2            /2

(WV) = 21

It is fine to use these data because the price sample is random so bias will not interfere with the results.

Based on the information, we can infer that it is correct to use the data from this sample because it is random, that is, it does not have a defined order. Therefore, it is not necessary to take bias into account because it will not have any influence on the results.

In accordance with the above, it would be incorrect to take the data from a non-random sample because information would be prioritizing and this would cause the results to be blinded.

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Answer:

B) is the correct answer because the 5 shirts are supposed to be LESS THAN 55, hence the less than symbol.

Answer:

B=28

Step-by-step explanation:

100.48 square inches make up half of the cookie cake. The solution has been obtained by using area of circle.

What is area of circle?

The territory that a circle's circumference encloses or includes is referred to as its area. The square is its unit of measurement.

We are given that the diameter of a circular cookie cake is 16 inches.

Area of circle = π \(r^{2}\)

The radius (r) = 8 inches

So, from this we get

⇒ Area of circle = π \(8^{2}\)

⇒ Area of circle = 64 * 3.14

⇒ Area of circle = 200.96 square inches

So, half cookie cake = 100.48 square inches

Hence, 100.48 square inches make up half of the cookie cake.

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Answer:22.1

Step-by-step explanation: tan44.2=h/100

tan44.2*100=h

22.102863493=h

h=22.1(nearest tenth)

The value of \(x=-\frac{1}{5}\) and \(y=\frac{31}{5}\).

The given equations are \(y=4x+7\) and \(y=9x+8\).

We have to solve these equations using the substitution method.

Substitution Method

In this method we find the value of one variable from one equation using elimination method and then put that value of that variable in other equation. In simple word we substitute value of one variable from one equation to the other equation.

In the given equation the two equation are

\(y=4x+7\dots\dots\dots\)Equation \((1)\)

\(y=9x+8\dots\dots\dots\)Equation \((2)\)

Putting the value of \(y\) from the Equation \((1)\) in the Equation \((2)\)

\(4x+7=9x+8\)

Subtract \(8\) on both side

\(4x+7-8=9x+8-8\)

Simplifying

\(4x-1=9x\)

Subtract \(4x\) on both side

\(4x-1-4x=9x-4x\)

Simplifying

\(-1=5x\)

\(5x=-1\)

Divide by \(5\) on both side

\(\frac{5}{5}x=-\frac{1}{5}\)

\(x=-\frac{1}{5}\)

Now putting the value of \(x\) in equation \((1)\)

\(y=4(-\frac{1}{5})+7\)

Simplifying

\(y=-\frac{4}{5}+7\)

\(y=-\frac{4}{5}+7\times\frac{5}{5}\)

\(y=-\frac{4}{5}+\frac{35}{5}\)

\(y=\frac{-4+35}{5}\)

\(y=\frac{31}{5}\)

Hence, the value of \(x=-\frac{1}{5}\) and \(y=\frac{31}{5}\).

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Answer:

1. NO

2. YES

3. YES

4. YES

Step-by-step explanation:

Plot these on a number line to see visually.

Answer:

1. No

2. Yes

3. Yes

4. Yes

Step-by-step explanation:

Given inequality :

x  ≥ -4.1

1.

\(\ -5\Large \ \ \text{\bf{(NO)}}\)

Reason:  5 > 4.1 ⇒ -5 < -4.1

2.

\(\ -4.1\Large \ \ \text{\bf{(Yes)}}\)

Reason :  -4.1 = -4.1 ⇒ -4.1 ≥ -4.1

3.

\(\ 8\Large \ \ \text{\bf{(Yes)}}\)

Reason :  8 is positive and -4.1 is negative  ⇒ 8 ≥ -4.1

4.

\(\ 0\Large \ \ \text{\bf{(Yes)}}\)

Reason :   -4.1 is negative and 0 is greater than any negative number ⇒ 0 ≥ -4.1

Answer:

Step-by-step explanation:

We can write 36 as a product of prime factors: 36 = 2² × 3². The expression 2² × 3² is said to be the prime factorization of 36

Answer:

D

Step-by-step explanation:

Answer:

74

10x7=70

10-6=4

70+4=74

The result of the given mathematical expression is 74.

A mathematical expression consists of numbers, variables, and common mathematical operations such as addition, subtraction, multiplication, division, and more.

The given expression is:

{10 x 7} + (10 - 6)

= 70 + 4

= 74

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Answer:

Step-by-step explanation:

Có: 7(x+y+z)=5

=>x+y+z = 5/7 (1)

Lại có:

+) y(x+y+z)=9

=>y×5/7=9

y=9: 5/7

y=63/5 (2)

+) x(x+y+z)=-5

=>x×5/7=-5

x=-5:5/7

x=-7 (3)

Từ (1);(2) và (3) => -7+63/5+z =5/7

=>28/5+z=5/7

=>z=-171/35

Vậy ....

The average temperature in the given box is approximately 0.995.

The average temperature in the given box can be found by computing the triple integral of the temperature distribution function t(x, y, z) over the region D and dividing by the volume of the region D. Thus, we have:

\(\[\iiint_D t(x, y, z) \, dV\]\)

where D is the region defined by

\(\[D=\left\{(x, y, z): 0\leq x\leq \ln 2, 0\leq y\leq \ln 4, 0\leq z\leq \ln 8\right\}\]\)

The temperature distribution function of the region is given by:

\(\[t(x, y, z) = 100e^{-x-y-z}\]\)

Hence, we get:

\(\[\iiint_D t(x, y, z) \, dV = \int_{0}^{\ln 2} \int_{0}^{\ln 4} \int_{0}^{\ln 8} 100e^{-x-y-z} \, dz \, dy \, dx\]\)

Let's start solving it step by step. Integrating with respect to z, we get:

\(\[\int_{0}^{\ln 8} 100e^{-x-y-z} \, dz = -100e^{-x-y-z} \bigg|_{0}^{\ln 8} = 100(e^{-x-y}-e^{-x-y-\ln 8}) = 100e^{-x-y}(1-e^{-\ln 8}) = 100e^{-x-y}\left(1-\frac{1}{8}\right) = \frac{87.5}{e^{x+y}}\]\)

Now we can compute the double integral of\($\frac{87.5}{e^{x+y}}$\) with respect to x and y as follows:

\(\[\int_{0}^{\ln 4} \int_{0}^{\ln 2} \frac{87.5}{e^{x+y}} \\),

\(dx \, dy = \int_{0}^{\ln 4} \frac{87.5}{e^y} \int_{0}^{\ln 2} e^{-x} \,\) d\(x \, dy = \int_{0}^{\ln 4} \frac{87.5}{e^y} (-e^{-x}) \bigg|_{0}^{\ln 2} \, dy = \int_{0}^{\ln 4} \frac{87.5}{e^y}\left(1-\frac{1}{e^{\ln 2}}\right) \, dy = \int_{0}^{\ln 4} \frac{87.5}{e^y}\left(1-\frac{1}{2}\right) \, dy = \frac{87.5}{2}\int_{0}^{\ln 4} \frac{1}{e^y} \, dy = \frac{87.5}{2}\left(1-\frac{1}{e^{\ln 4}}\right) = \frac{87.5}{2}\left(1-\frac{1}{4}\right) = \frac{131.25}{4}\]\)

Therefore, the triple integral over the given region D is \($\frac{131.25}{4}$\). We need to divide it by the volume of the region D, which is the product of the lengths of the sides of the box:

\(\[V = \ln 2 \cdot \ln 4 \cdot \ln 8 = 3\ln 2 \cdot 2\ln 2 \cdot \ln 2^3 = 24\ln 2^3\]\)

Thus, the average temperature is given by:

\(\[\bar{t} = \frac{\iiint_D t(x, y, z) \, dV}{V} = \frac{131.25/4}{24\ln 2^3} \approx \boxed{0.995}\]\)

Therefore, the average temperature in the given box is approximately 0.995.

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I don't know I really needed help on this one

Answer:

6/8 is an equivalent fraction of 3/4.

We can find some other equivalent fractions by multiplying the numerator and the denominator of the given fraction by the same number. Thus, the equivalent fractions of 3/4 are 6/8, 9/12, 12/16, and 15/20.

Answer:

below

Step-by-step explanation:

6/8 = 3/4, 9/12, 12/16 and 15/20

The base of a right triangle cannot be represented by a product of two expressions like "3X - 2 by 2X - 3."

The product of the base of a right triangle is (3x - 2)(2x - 3), which can be simplified to 6x^2 - 13x + 6. This represents the area of the triangle, but we still need to find the length of the base itself.

To do this, we need to use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (the legs) is equal to the square of the longest side (the hypotenuse). In this case, we know the length of one leg, which is represented by 3x - 2, and we know the length of the hypotenuse, which we can find by setting 6x^2 - 13x + 6 equal to the square of the hypotenuse and solving for x.

So, we have:

(3x - 2)^2 + b^2 = (6x^2 - 13x + 6)^2

Simplifying this equation gives:

9x^2 - 12x + 4 + b^2 = 36x^4 - 156x^3 + 228x^2 - 132x + 36

Now, we can solve for b by rearranging the terms:

36x^4 - 156x^3 + 219x^2 - 128x + 32 - b^2 = 0

We can use the quadratic formula to solve for x, which gives:

x = 2/3 or x = 3/2

Since the length of the base cannot be negative, we can discard the solution x = 2/3, leaving us with x = 3/2. Plugging this into the expression for the base gives:

3x - 2 = 3(3/2) - 2 = 7/2

Therefore, the length of the base of the right triangle is 7/2 units, and the area of the triangle is (7/2) times the height of the triangle, which is represented by 2x - 3.

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The proportional relationship is y = 3x.

What is the proportional relationship?

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

Here, we have

Given:

x:  2, 6, 8, 10

y:  6, 18, 24, 30

We have to find the proportional relationship between x and y.

So, we can see from inspection and visual observation that there is a proportional relationship between x and y.

6 = 3  2,  18 = 3  6, 24 = 3  8, 30 = 3  10.

Hence, The proportional relationship is y = 3x.

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Answer:

f(x) = 3x2 + 5 and y = 3x2 + 5

Step-by-step explanation:

The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.