What is the correct answer

Answer:

Step-by-step explanation:

AT first, draw the reference line, which are given. If I take PQ as base, I won't need to draw PQ line as reference.

I took PQ(5.5cm) as base. Then, take 4.8cm in your compass by centering at point Q. Draw an arc. Then take 4.2 cm in your compass from the reference line which you have drawn and then centre at point P and draw an arc. Both the arcs will meet at one point. Then join the lines to form the Triangle PQR

Answer:

3.69

Step-by-step explanation:

2.4-9.1 = -6.7

-6.7+12.5x = 39.44

12.5x = 39.44 + 6.7

12.5x = 46.14

x = 46.14 / 12.5 = 3.69

Answer:

B

Step-by-step explanation:

60+40+x=180(angles in a triangle)

x= 180-100

x=80°

80+z=180(angles on a str line)

z= 100°

100+15+y=180(angles in a triangle)

y=180-115

y=65°

Answer:

c: x = 80, y = 65, z = 100

Step-by-step explanation:

The sum of all angles in a triangle is 180

so 40 + 60 + x = 180 and 15 + y + z = 180

40 + 60 + x = 180

100 + x = 80

x = 80

supplementary angles are equal to 180

x and z are supplementary

80 + z = 180

z = 100

15 + 100 + y = 180

115 + y = 180

y = 65

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Determine the probability of drawing either a king or a heart? write your answer as a reduced fraction.

There are four kings and thirteen hearts (including the king of hearts) in a regular 52-card deck of playing cards. To avoid counting it twice, we must deduct the king of hearts from the total number of hearts.

There are 4 + 12 = 16 cards, all of which are kings or hearts.

By dividing the number of cards in the deck that are either kings or hearts by the total number of cards in the deck, one may determine the likelihood of drawing one of these cards:

P=16/52 (king or heart)

By reducing the numerator and denominator by their largest common factor, which is 4, this fraction can be made smaller:

P = 4/13 (king or heart)

Therefore, there is a 4/13 chance of drawing either a king or a heart.

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Answer:

D

Step-by-step explanation:

6x + c = k ( isolate the term in x by subtracting c from both sides )

6x = k - c ( isolate x by dividing both sides by 6 )

x = \(\frac{k-c}{6}\)

Answer:

Im not like 100% sure but i think you answer is

y-6=3[x-(-2)]

y=6+3x+6

y=3x+12

And i believe that this is parallel to y

Answer:

Step-by-step explanation:

Parallel lines have same slope

Given line

The line that passes through (-2, 6) and with the slope of 3 is:

Convert the equation into slope-intercept form:

Answer:

7:4

Step-by-step explanation:

70 / 2 : 40 / 2

35:20

35 / 5 : 20 / 5

7:4

(a) The general solution of the equation y^(4) – 6y^m + 13y^n = 0 depends on the values of m and n.

(b) The general solution of the equation y^m + 2y^n + 4y' + 8y = 0 also depends on the values of m and n.

(c) The general solution of the equation y^(5) – y^(4) = 0 is y = 0 or y = 1.

(a) To find the general solution of y^(4) – 6y^m + 13y^n = 0, we can assume a solution of the form y = e^(rt). Substituting this into the equation, we get the characteristic equation r^4 - 6r^m + 13r^n = 0. This equation has four roots, which may be real or complex depending on the values of m and n.

The general solution is then a linear combination of exponentials of the form y = c1e^(r1t) + c2e^(r2t) + c3e^(r3t) + c4e^(r4t), where c1, c2, c3, and c4 are constants determined by initial or boundary conditions.

(b) To solve the equation y^m + 2y^n + 4y' + 8y = 0, we can assume a solution of the form y = e^(rt). Substituting this into the equation, we get the characteristic equation r^2 + 4r + (2r^m + 8) = 0.

This equation has two roots, which may be real or complex depending on the values of m and n. The general solution is then a linear combination of exponentials of the form y = c1e^(r1t) + c2e^(r2t), where c1 and c2 are constants determined by initial or boundary conditions.

(c) To solve the equation y^(5) – y^(4) = 0, we can factor out y^4 to get y^4(y-1) = 0. Therefore, the solutions are y = 0 or y = 1. These are the only solutions since a polynomial of degree n has at most n roots.

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The sample size required to achieve a margin of error of 0.4 hours with a 99% level of confidence is 621.

To achieve a margin of error of 0.4 hours with a 99% level of confidence, you need to gather a sample size of 621 bacteria. The formula to calculate the sample size is given by:
n = [(Zα/2)2 · σ2] / (E2)
where n is the sample size, Zα/2 is the z-score, σ is the population standard deviation, and E is the margin of error.
For the given example, Zα/2 = 2.576, σ = hours, and E = 0.4. Plugging these values in the formula, we get n = 621. Thus, the sample size required to achieve a margin of error of 0.4 hours with a 99% level of confidence is 621.

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50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that a punch recipe calls for 1(¹/₂) quart of sparkling water and 3/4 of a quart of grape juice.

The ratio of sparkling water to grape juice is,

1(¹/₂) : (3/4 quarts) = (3/2) : (3/4) =  2 : 1

The amount sparkling water in the total volume is 2 : (2+1) = 2/3 of the total volume. For a volume of 100 quarts, the sparkling water content is

2/3 · 75quarts = 50 quarts

Then the grape juice content is,

1/3 · 75 quarts = 25 quarts

Therefore, 50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.

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Answer: 0.89

Step-by-step explanation:

Converting \(89\%\) to a percentage, we get \(\frac{89}{100}=0.89\).

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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Answer:

Plan A last for 30 minutes

Plan B last for 45 minutes

Step-by-step explanation:

There are two plans:

Plan A

Plan B

Monday

Plan A=3 clients

Plan B=2 clients

Total hours=3

Tuesday

Plan A=5 clients

Plan B=6 clients

Total hours=7

The equation for the unknown

3A + 2B=3 (1)

5A + 6B=7 (2)

Multiply (1) by 3 and (2) by (1)

9A + 6B=9 (3)

5A + 6B=7 (4)

Subtract (4) from (3)

4A=2

Divide both sides by 4

4A/4 = 2/4

A=1/2 hours

Substitute A=1/2 into (1)

3A + 2B=3

3(1/2) +2B=3

3/2 + 2B=3

2B= 3 - 3/2

2B= 6-3/2

2B=3/2

Divide both sides by 2

B=3/2÷2

=3/2×1/2

B=3/4 hours

A=1/2 hours

B=3/4 hours

60 minutes=1 hour

A=1/2 hours

1/2 × 60 minutes

=60/2

=30 minutes

B=3/4 hours

=3/4×60 minutes

=180/4

=45 minutes

Plan A last for 30 minutes

Plan B last for 45 minutes

Answer:

A = 1

B = 2

C = 10

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope

b is the y-intercept

The slopes of parallel lines are negative reciprocals

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

y = 2x + 7

slope  = 2

slope of perpendicular line is the negative reciprocal of 2

slope = -1/2

y = 5x - 5

y-intercept is -5

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

slope intercept form of perpendicular line

using slope = -1/2 and y-intercept  = -5

y = -(1/2)x - 5

Change to standard form:

multiply both sides by 2

2y = -x - 10

Add x + 10 to both sides

x + 2y + 10 = 0

Therefor

A = 1

B = 2

C = 10

Answer:

I'll explain

Step-by-step explanation:

1/8 is the least because it is the smallest fraction

1/6 is the next smallest fraction

then 1/5 is the text smallest

and 1/4 is the biggest fraction

Answer:

1/8

1/6

1/5

1/4

This is in order from least to greatest starting at the top

If the value of the euro was $1.30 last week and during last week the euro depreciated by 5 percent, the value of the euro today is $1.235.

If the euro was worth $1.30 last week and depreciated by 5%, we can calculate the new value by multiplying the original value by (1 - depreciation rate).

Mathematically, the new value of the euro can be calculated as follows:

New Value = Original Value * (1 - Depreciation Rate)

New Value = $1.30 * (1 - 0.05)

New Value = $1.30 * 0.95

New Value = $1.235

Therefore, the value of the euro today is $1.235.

Depreciation is a term used to describe the decline in the value of a currency relative to another currency or to a basket of currencies. It can occur due to various reasons, such as changes in interest rates, inflation rates, political instability, or economic growth.

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Explanation: The alphabet consists of 26 letters, and if each license plate has 3 letters we can make 8 plates. It may be followed by 2 digits but there is a plenty amount of different 2 digit numbers so we don't have to worry about that.

Answer: 8 License plates

Hope this helped! :D

Answer:

a. x = 5/2

b. y = 16.5

c. z = 12

Step-by-step explanation:

Answer:

1) x = 2.5

b) y = 12.9

c) z = 12

d) 2.75 = w or 2\(\frac{3}{4}\) = w

e) t = 4

Step-by-step explanation:

a)

2x = 5

divide both sides of the equation by 2

2x/2 = 5/2

x = 5/2

x = 2.5

b)

y + 1.8 = 14.7

subtract 1.8 from both sides of the equation

y + 1.8 - 1.8 = 14.7 - 1.8

y = 14.7 - 1.8

y = 12.9

c)

6 = 1/2z

divide both sides by 1/2 or multiply both sides by 2

6*2 = 1/2z * 2

6*2 = z

12 = z

d)

3.25 = 0.5 + w

subtract 0.5 from both sides of the equation

3.25 - 0.5 = 0.5 + 2 - 0.5

3.25 - 0.5 = w

2.75 = w

or

2\(\frac{3}{4}\) = w

e)

2.5t = 10

t = 10/2.5

t = 4

Therefore, the correct statistical decision is (b) reject the null hypothesis with either α = .05 or α = .01.

To determine the correct statistical decision, we need to compare the calculated F-ratio to the critical F-value based on the degrees of freedom and the chosen alpha level (α).

The degrees of freedom for the numerator (df between) is k - 1, where k is the number of conditions (k = 4 in this case). The degrees of freedom for the denominator (df within) is N - k, where N is the total sample size (N = 8 * 4 = 32).

Using a significance level of α = .05, we can consult an F-table or use statistical software to find the critical F-value with (k-1) and (N-k) degrees of freedom. For this case, the critical F-value is 3.10.

Since the calculated F-ratio (F = 4.60) is greater than the critical F-value (3.10) at α = .05, we can reject the null hypothesis and conclude that there are statistically significant mean differences among the four conditions.

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The area of the shaded portion would be 182812.5 square mm.

What is the area of a triangle?

The area of the triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the triangle.

The shades triangle in the sign had a base of 750 millimeters and a height of 650 millimeters, and the white triangle in the sign has a base of 375 millimeters and a height of 325 millimeters.

The area of the big triangle will be

A₁ = 1/2 × 750 × 650

A₁ = 243750 square mm

The area of the small triangle will be

A₂ = 1/2 × 375 × 325

A₂ = 60937.5 square mm

Then the area of the shaded portion of the sign will be

A = A₁ - A₂

A = 243750 – 60937.5

A = 182812.5 square mm

Hence, the area of the shaded portion would be 182812.5 square mm.

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to get the slope of any straight line, all we need is two points off  of it, let's use those ones in the picture below.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{1}{4}\)

Answer:

Step-by-step explanation:

Your answer is; x= 5

Step 1: Simplify both sides of the equation.

9−4x=-(2x+1)

9+-4x=−2x +-1(Distribute)

−4x+9=-2x-1

Step 2: Add 2x to both sides.

-4x+9+2x=−2x-1+2x

-2x+9=-1

Step 3: Subtract 9 from both sides.

-2x+9-9=-1-9

-2x=-10

Step 4: Divide both sides by -2.

-2x/-2= -10/-2

x=5

First, we determine the speed of the ferry by dividing the distance by the time it took to cover that certain distance.

speed = (1/6) / (3/7)

speed = 7/18

Then, the distance it will travel for an hour is calculated through the procedure below.

distance = (7/18hour) x (1 hour)

distance = 7/18

Therefore, after an hour, the ferry will be able to travel 7/18 of the distance between two ports.

Answer:

9 adults

Step-by-step explanation:

Finding the union of the sets A and C is the first step in solving P(A U C). Since set C only contains the number 6, the union of A and C has the elements 1, 2, 3, 4, and 6. A U C thus equals 1, 2, 3, 4, and 6.

The power set of A U C, which comprises all conceivable subsets of 1, 2, 3, 4, and 6, must then be located. If all conceivable subsets are listed, the power set of A U C, designated as P(A U C), will be discovered.

P(A U C) = { {}, {1}, {2}, {3}, {4}, {6}, {1,2}, {1,3}, {1,4}, {1,6}, {2,3}, {2,4}, {2,6}, {3,4}, {3,6}, {4,6}, {1,2,3}, {1,2,4}, {1,2,6}, {1,3,4}, {1,3,6}, {1,4,6}, {2,3,4}, {2,3,6}, {2,4,6}, {3,4,6}, {1,2,3,4}, {1,2,3,6}, {1,2,4,6}, {1,3,4,6}, {2,3,4,6}, {1,2,3,4,6}}.

There are 31 subsets in the power set P(A U C) that result from the union of sets A and C.

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Step-by-step explanation:

=bc

3x + 1 = 223x+1=22

x = 7x=7

ad = cd = 4(7) = 28ad=cd=4(7)=28

Answer:

hello what are you telling here............

Step-by-step explanation:

Answer:

If you mean the Lowest Common Multiple (LCM) then the answer is 30.

But if you mean the lowest number that can be divided by 2, 3, and 5 then the answer is -∞ because any given number can be divided by any number except 0.

Hoped I helped

Can I get a brainiest

Answer:

If you mean what is the smallest number divisible by 2, 3, 5, 9, and 10, then I have no idea, sorry. :'(

Step-by-step explanation: