Circle YES or NO The terms -5x and 5x are like terms.

Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.

The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.

The total number of seats in the theatre are:

= Number of seats on balcony / Proportion of seats this represents

Solving gives:

= 120 ÷ 1/5

= 120 ÷ 0.2

= 600 seats

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Answer:

assuming that was at 2:45 PM they will be there at 3:25AM or if they left at 2:45AM they will be there at 1:25 PM

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

I done the math, trust me

Answer:

Your answer should be C. 1 1/2

Step-by-step explanation:

This should be right I calculated it.

Answer:

415.47

Step-by-step explanation:

because it is

Hundredth is the second decimal place, as it does tens, hundredths, thousandths, so on.

All we have to do it pull out our calculator and do: 37.392 / 0.09.

37.392 / 0.09 = 415.47.

Remember, 4 or below, let it go, 5 or above give it a shove. Because we have 415.46666, and we only need 2 decimal places, we have to round the second decimal place. Looking at the third decimal place, we see that it is greater then 5, so we round the second place up by one.

I hope this helps! :)

The rule of a reflection across the y-axis is

So, let's transform each vertex.

Now, we graph the reflection, the image below shows it

Answer:

y = 3

Step-by-step explanation:

Given that the shapes are similar then the ratios of corresponding sides are equal, that is

\(\frac{AB}{EF}\) = \(\frac{CD}{GH}\) , substitute values

\(\frac{3}{2}\) = \(\frac{4.5}{y}\) ( cross- multiply )

3y = 9 ( divide both sides by 3 )

y = 3

Answer:

the answer is 683/60

Step-by-step explanation:

just multiply 60 by 11 then add 23, or multiply the bottom number by the whole number then add the top number

a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.

b) To calculate the expected count for the bottom right cell, we can use the formula:

Expected count = (row total x column total) / grand total

The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:

Expected count = (100 x 100) / 300 = 33.33

The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.

c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.

Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

To sell the article at a price of Rs. 2063.38 after applying 13% VAT, a discount of approximately 6.21% is given on the marked price of Rs. 2200.

Let's break down the given information to solve for the discount percent:

1. The marked price of the article is Rs. 2200.

2. After allowing a certain percent of discount, the article is sold at Rs. 2063.38, including 13% VAT.

Let's assume the discount percent as 'x'. We can calculate the discounted price using the formula:

Discounted Price = Marked Price - (Discount Percent/100) * Marked Price

Substituting the given values, we have:

2063.38 = 2200 - (x/100) * 2200

Now, let's solve the equation to find the value of 'x':

2063.38 = 2200 - 22x

Rearranging the equation, we have:

22x = 2200 - 2063.38

22x = 136.62

x = 136.62 / 22

x ≈ 6.21

Therefore, the discount percent is approximately 6.21%.

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Answer:

7

Step-by-step explanation:

all i know is that its right

Answer:

7 mi

explanation:

area of rectangle = length * width

given:

using the formula:

length * width = area

8 * v = 56

v = 56/8

v = 7

Answer:

v = 7 mi

Step-by-step explanation:

Formula:

Area of a rectangle = width x length

Given:

Inputting given information in the formula:

⇒ 56 = 8v

Divide both sides by 8:

⇒ 7 = v

Solution:

Therefore, the missing length v is 7 mi

Answer:

x=1 or x=5

Step-by-step explanation:

x2−6x+5=0

Step 1: Factor left side of equation.

(x−1)(x−5)=0

Step 2: Set factors equal to 0.

x=1 or x=5

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.

To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.

Let's set up the long division:

    \(5x^3 + 2x^2 - 4x + 4\)

_______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:

              \(5x^3(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- (\(5x^3 + 5x^2)\)

This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:

              \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

-\((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

We continue this process until we reach the constant term, resulting in the remainder of the division.

At this point, we have:

               \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- \((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

-\((2x^2 + 2x)\)

_______________________

- 5x + c

- (-5x - 5)

_______________________

5 + c

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Answer: i got 6 83/1000

Step-by-step explanation:

The number of decibels of sound emitted by the animal is approximately 145.05 dB.

To find the number of decibels (D) of sound emitted by the animal, we will use the formula D = \(10 * log10(I / I0)\), where I is the intensity of the sound (320 watts/cm2) and I0 is the reference intensity (10^-12 watts/cm2).

First, calculate the ratio I / I0 = \(320 / (10^-12) = 3.2 * 10^14.\)

Then, find the base-10 logarithm of this ratio: \(log10(3.2 * 10^14) ≈ 14.5051.\)

Finally, multiply this result by 10: D = \(10 * 14.5051\) ≈ 145.051 decibels.

So, the number of decibels of sound emitted by the animal is approximately 145.05 dB.

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Answer:

Step-by-step explanation:

35.7826087

I'm guessing you want it estimated to the nearest tenth so 35.8

Answer:

A. y = 4/3x - 4

Step-by-step explanation:

Equation of line is given as y = mx + c, where m is the gradient/slope and c is the y-intercept.

Since line passes through y-axis at -4, equation of line is y = mx - 4.

So C and D are out.

Now we have to find the gradient of the line.

Formula for finding gradient is given as y2-y1 ÷ x2-x1, where x and y are the coordinates of the points.

From the graph, we can use the coordinates where the line passes through each axis. The coordinates are (3,0) and (0,-4).

Gradient = (-4-0) ÷ (0-3) = 4/3

Hence equation of line is y = 4/3x - 4.

Answer:

False

Step-by-step explanation:

1 + 2 (-4) = -7

1 - 8 = -7

-7 = -7

-4 (-4) = -1

16 = -1

We can see that, when the input is 5, the output is 24.

Here we have the equation:

\(y = x^2 - 1\)

Where y is the output and x is the input.

We want to evaluate it with the input as 5, so we need to replace the variable x by the number 5, we will get:

\(y = 5^2 - 1 = 24\)

Then we can see that, when the input is 5, the output is 24.

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Step-by-step explanation:

=5z-8-4z-3z+6

=5z-4z-3z-8+6

= -2z-2

hope it help u

Answer: (6,11π/6).

Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so

because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.

So the final answer is (6,11π6).

Answer: \(\cos P=r/q\)

Step-by-step explanation:

Cosine is defined as adjacent/hypotenuse.

In relation to \(\angle P\), the adjacent side is \(r\) and the hypotenuse is \(q\).

So, \(\cos P=r/q\).