29. An opening with hollow metal frame and doors in an assembly building will have a rating. What is the relative rating of the door compared to the frame

Answer:

122

Step-by-step explanation:

The nth term for this sequence is 3n - 1.

3 x 41 = 123

123 - 1 = 122

The perimeter of the base of the aquarium is 123/28 ft = 4.39 yards (approx)Therefore, the perimeter of the base of the aquarium  is 4.39 yards (approx).

Given that one side of the aquarium's base is 3/4 yard long and the other side is 5/7 of a yard long. We are to determine the perimeter of the base of the aquarium.Solution:The perimeter of the base of the aquarium is defined as the sum of all its sides.Let the two sides be x and y.Length of one side

= 3/4 yard Length of another side

= 5/7 yard

We know that 1 yard

= 3 feet

So, one side of the base of the aquarium is

(3/4) × 3

= (9/4)

feet and the other side of the base of the aquarium is

(5/7) × 3

= (15/7) feet

Therefore, the perimeter of the base of the aquarium will be:

x + y

= (9/4) + (15/7) ft

To add fractions, we need to find their

LCM.LCM (4,7)

= 28.

Therefore, we can rewrite the above equation as:

(7x + 4y)/28

= (63 + 60)/28

= 123/28 ft.

The perimeter of the base of the aquarium is

123/28 ft

= 4.39 yards (approx)

Therefore, the perimeter of the base of the aquarium  is 4.39 yards (approx).

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Answer:

B

Step-by-step explanation:

The sum of the inner angles of a quadrilateral is 360 degrees

135 + 110 + 68 + x = 360

313 + x = 360

x = 47 degrees

Answer:

47

Step-by-step explanation:

whole thing is 360 degrees

68 + 110 + 135 = 313

360 - 313 = 47

x looks small too (if you had to guess in a multiple choice question)

Answer:

The top answer is correct

Step-by-step explanation:

Vertical angles are formed when two lines meet each other at a point and they are always equal to each other. Their angles are also equal. In this problem number two has angles that do not match and number three also has different angles. Finally number four also has different angles and is not equal to each other. Leaving number one (the top answer) which looks to have the same angle, and is equal to each other.

We can proved that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

Let's denote the vertices of the parallelogram as A, B, C, and D, with O as the midpoint of AC and BD.

First, we can see that triangles ABO and CDO are congruent by the Side-Side-Side (SSS) postulate, since they share side BD, and both have sides AB and CO of equal length due to O being the midpoint of BD. Therefore, angles AOB and COD are congruent, and we can denote their measure as θ.

Using the Law of Cosines in triangles ABO and CDO, we can express the squares of the diagonals AC and BD in terms of the sides of the parallelogram:

AC² = AB² + BC² - 2(AB)(BC)cosθ

BD² = AB² + BC² + 2(AB)(BC)cosθ

Adding these two equations together, we get:

AC² + BD² = 2(AB² + BC²)

which is the desired result. Therefore, we have shown that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

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The initial population of the bacteria culture is 200 bacteria.

The initial population of the bacteria culture can be determined using the equation for exponential growth: P(t)=P0(1+rt), where P(t) is the population after time t, P0 is the initial population, and r is the relative growth rate.

In this case, after 2 hours, the population is 600 and after 8 hours the population is 75,000. Plugging in the values, we get P0 = 600/(1+2*r), or P0 = 600/3. Thus, the initial population of the bacteria culture is 600/3 = 200 bacteria.

Exponential growth is a function of time and rate of growth. It is often used to model population growth or decay, such as in this case. The equation for exponential growth states that the population at any time is equal to the initial population multiplied by the rate of growth at each unit of time.

In this case, the rate of growth (r) is constant over the time period, so the population can be determined by putting in the values for P(t) and P0 and solving for r. Then, using the same equation, the initial population (P0) can be determined.

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Answer:

50%

Step-by-step explanation:

In order to change a decimal into a percent, move the decimal to the right twice and add a percent sign

0.5 = 5.0 once

5.0 = 50.0 twice

And add a percent sign 50%

Answer:

Your answer would be 50%

Step-by-step explanation:

you would move the 5 to the left 2 times let me show you.  

0.5 = 05. then 05. = 50. which would be 50%

please give brainliest if correct <3

Answer:

35

Step-by-step explanation:

since ACD is a line so angle BCA+angle BCD=180

BCA+120=180

BCA=60

The total degrees of all interior angles of triangle is 180

So angle BAC+BCA+ABC=180,

BAC+60+85=180

BAC=35

The sum of 2 is the least likely outcome when rolling two number cubes. Other sums such as 7, 12, and 11 have multiple combinations that can result in those sums, making them more likely compared to the single combination resulting in a sum of 2.

To construct a sample space representing the roll of two number cubes, we consider all possible outcomes when rolling each cube. Since each cube has six faces numbered from 1 to 6, there are 6 possible outcomes for each cube. The sample space can be represented as a set of ordered pairs, where each number represents the result of rolling one cube.

Sample space for rolling two number cubes:

{(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}

To determine which number(s) are least likely to be the sum of the two number cubes, we analyze the sample space and count the number of combinations that yield each sum.

a. The sum of 2 is obtained only when both cubes show a result of 1. There is only one combination that yields a sum of 2: (1,1). Therefore, the sum of 2 is the least likely outcome.

b. The sum of 7 can be obtained through the following combinations: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). Since there are six possible combinations that result in a sum of 7, it is not least likely.

c. The sum of 12 can be obtained through the following combinations: (6,6). There is only one combination that yields a sum of 12. Therefore, the sum of 12 is also not least likely.

d. The sum of 11 can be obtained through the following combinations: (5,6), (6,5). There are two possible combinations that result in a sum of 11. Therefore, the sum of 11 is not least likely either.

In conclusion, the sum of 2 is the least likely outcome when rolling two number cubes.

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Answer:

Zack is correct

Step-by-step explanation:

when we plot out all the points we see that not all sides are the same length, which is techinally defines a square. Because of the different sides lengths we know it is a rhombus.

Josh was correct as the figure is Square.

In a Cartesian plane there are two points P(a, b) and Q(c, d) then the distance between two points

PQ = √(c- a)² + (d- b)²

We have the coordinates F(2, 2) O(5, -2) U(9, 1) and R(6, 5).

Now using Distance Formula

FO = √(-2 - 2)² + (5- 2)² = √16 + 9 = √25 = 5 unit

OU = √(1 + 2)² + (9-5)² = √9 + 16 = √25 =5  unit

UR = 5 unit

RF = 5 unit

and, FU = √(1 -2)² + (9- 2)² = √1 + 49 = √50 = 5√2

OR = √(5+2)² + (6-5)² = √49 +1 = 5√2

So, the given figure is square because the length of Diagonal are equal.

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Answer:

point b is located at -0.905 . If it was -0.95 then it would be point A

Answer:

point B

I hope it's helps you

Answer:

W - Y > H

Or

H < W - Y

Step-by-step explanation:

From the word problem/ information given from the problem, we can formulate a full inequality:

\(\frac{W > Y+H}{P}\)

And we are trying to solve for H:

What we must do is solve by following the process of PEMDAS

P - () (Parenthesis)

E - \(x^{2}\) (Exponents)

M - x (Multiply)

D - \(\frac{x}{y}\) (Division)

A - + (Addition)

S - [-] (Subtraction)

1) Look through PEMDAS until you notice one:

We find that there is Division!

In order to get one step closer to finding H, we must do the opposite of dividing which is multiplying:

P(\(\frac{W > Y+H}{P}\))

This will cancel out P, leaving you with:

\({W > Y+H}\)

2) Now we must get H alone by subtracting Y on both sides:

\({W > Y+H}\\\)

-Y  - Y

---------------

W - Y > H

Your final answer is W - Y > H

Answer: 11 in

Step-by-step explanation: To find the surface area of a triangular pyramid, the formula is B = 3v/h, where v is volume and h is height. Plugging this in, 3 * 22 = 66. 66 divided by 6 is 11. Thus, the area of the base is 11 inches.

Answer:

The answer is D or 36

Step-by-step explanation:

Divide the cups by servings

9/.25=36

Using the given value numbers, we can represent the number as 203,167.

To represent the given number using the value numbers 3, 80, 7, 30, 200,000, 3,000, and 50, we need to understand the place value system. In this system, each digit's position determines its value relative to the other digits in the number.

Let's break down the given value numbers:

3 represents the digit 3.

80 represents the digit 8 in the tens place and 0 in the ones place.

7 represents the digit 7.

30 represents the digit 3 in the tens place and 0 in the ones place.

200,000 represents the digit 2 in the hundred thousands place and all other digits as zeros.

3,000 represents the digit 3 in the thousands place and all other digits as zeros.

50 represents the digit 5 in the tens place and 0 in the ones place.

Now let's combine these value numbers to form a single number:

(200,000) + (3,000) + (80) + (30) + (7) + (50)

To simplify this expression, we can add up each component:

200,000 + 3,000 + 80 + 30 + 7 + 50 = 203,167

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Answer:

angle 2

Step-by-step explanation:

Corresponding angles are angles that are on the same side of the transversal and are congruent.

To visualize this kindly view the attatched image.

Based off of the attatched image, the angle corresponding to angle 1 whould be angle 2.

We are not given enough information to find the measure of this angle but we do know ∠1 ≅ ∠2

Answer is :

fx inverse is 2/3x+11

The one-sample z-statistic for evaluating the hypothesis that unvaccinated people get COVID-19 is not 0.03 is -85.7. This statistic tested the hypothesis that unvaccinated people do not get COVID-19 at 0.03%.

In order to compute the one-sample z-statistic, we must first do a comparison between the observed proportion of COVID-19 instances in the placebo group and the expected proportion of 0.03. (p - p0) / [(p0(1-p0)) / n is the formula for the one-sample z-statistic. In this formula, p represents the actual proportion, p0 represents the predicted proportion, and n represents the sample size.

The observed proportion of COVID-19 instances among those who received the placebo is 162/18325 less than 0.0088. According to the received wisdom, the proportion that should be anticipated is 0.03. The total number of people sampled is 18325. After entering these numbers into the formula, we receive the following results:

z = (0.0088 - 0.03) / √[(0.03(1-0.03)) / 18325] ≈ (-0.0212) / √[(0.0291) / 18325] ≈ -85.7

As a result, the value of the z-statistic for just one sample is about -85.7. This demonstrates that the observed proportion of COVID-19 cases in the unvaccinated population is significantly different from the expected proportion of COVID-19 cases in that population.

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The expression equivalent to t is:t = (3p * y)/(2x)

To find the expression equivalent to t, we can manipulate the given equation:

(x)/(y) = (3p)/(2t)

Cross-multiplying, we get:

2t * (x) = (3p) * (y)

Dividing both sides by 2(x), we have:

t = (3p * y)/(2x)

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Answer:

Step-by-step explanation:

2a)  p * \((3p^{3} )^{2}\)

\(p^{1}\) * \(9p^{2*3}\)

\(p^{1}\) * \(9p^{6}\)

\(9p^{6+1}\)

\(9p^{7}\)

2b)  ( \((-3x)^{2}\) * \(x^{3}\) *\(y^{5}\) ) /  \(y^{6}\)

\(9x^{2}\) *\(x^{3}\) / \(y^{1}\)

\(9x^{2+3}\) / y

\(9x^{5}\) /y

Answer:

1/4, 3/8, 2/3

Step-by-step explanation:

Answer:

1/4. 3/8. 2/3

Step-by-step explanation:

1/4, 3/8 and 2/3

Answer:

(x + 3)

Step-by-step explanation:

a = x^2+ 8x + 15

Factor

a = (x + 5)(x + 3)

if (x + 5) is the length

then (x + 3) is the width

Answer:

What's the best estimate for 26% of 44

Step-by-step explanation:

Answer:

Option (4). Rhombus

Step-by-step explanation:

From the figure attached,

Distance AB = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}\)

                     = \(\sqrt{(1-4)^2+(-5+3)^2}\)

                     = \(\sqrt{(-3)^2+(-2)^2}\)

                     = \(\sqrt{13}\)

Distance BC = \(\sqrt{(4-1)^2+(-3+1)^2}\)

                     = \(\sqrt{9+4}\)

                     = \(\sqrt{13}\)

Distance CD = \(\sqrt{(-2-1)^2+(-3+1)^2}\)

                     = \(\sqrt{9+4}\)

                     = \(\sqrt{13}\)

Distance AD = \(\sqrt{(1+2)^2+(-5+3)^2}\)

                     = \(\sqrt{9+4}\)

                     = \(\sqrt{13}\)

Slope of AB (\(m_{1}\)) = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

                           = \(\frac{4-1}{-3+5}\)

                           = \(\frac{3}{2}\)

Slope of BC (\(m_{2}\)) = \(\frac{4-1}{-3+1}\)

                            = \(-\frac{3}{2}\)

If AB and BC are perpendicular then,

\(m_{1}\times m_{2}=-1\)

But it's not true.

[\(m_{1}\times m_{2}=(\frac{3}{2})(-\frac{3}{2})\) = -\(\frac{9}{4}\)]

It shows that the consecutive sides of the quadrilateral are not perpendicular.

Therefore, ABCD is neither square nor a rectangle.

Slope of diagonal BD = \(\frac{4+2}{-3+3}\)

                                    = Not defined (parallel to y-axis)

Slope of diagonal AC = \(\frac{1-1}{-1+5}\)

                                    = 0 [parallel to x-axis]

Therefore, both the diagonals AC and BD will be perpendicular.

And the quadrilateral formed by the given points will be a rhombus.

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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Answer:

comparing the means of three or more groups

Step-by-step explanation:

Answer:

17) sometimes

18) sometimes

19) sometimes

20) sometimes

21)what is it asking

Step-by-step explanation:

17) in terms of the square that's correct but in terms of a rectangle it's not

18) the the angles could be 30, 60, 92, 178.. the four angles have to add up to 360 but they could be 150 for example 30, 30, 150, 150,

19) in in terms of a rectangle, kite etc it's correct. but for a kite or a trapezoid it's not

20) in in terms of a kite yes but in terms of a square no.

21)??

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

\(Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\\)

\(Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6\)

\(Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps!\)

Solution; Probability ≈ 0.1071

Answer:

perpendicular

Step-by-step explanation:

The standard form of equation of a line is expressed as y = mx+c

m is the slope

c is the intercept

For the line Y= -1/2x-11

Compare

mx = -1/2x

m = -1/2

slope = -1/2

For the equation

16x-8y=-8

Divide through by 8

2x - y = -1

- y = -2x-2

y  = 2x+2

Compare

mx = 2x

M = 2

Take the product of the slopes

Mm = -1/2 *  2

Mm = -1

Since the product of their slope is -1, hence the two lines are perpendicular

Answer:

two

Step-by-step explanation:

solutions are where lines cross

the solutions for this system are (2,0) and (-6,8)

Answer:

2 solutions

Step-by-step explanation:

The solutions are the point(s) of intersection.

By inspection of the graph we can see that line (blue) intersects the parabola (red) at 2 points.

Therefore, the system of equations has 2 solutions.