Classify each pair of numbered angles.

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[Linear pair ] [ vertical ] [ adjacent ] [none of these ]

Answer:

140 degrees

Step-by-step explanation:

first we have to find x by setting these 2 angles equal to each other

x+28=2x+16

-x.       -x

28=x+16

-16.    -16

12=x

Now we need to find the x+28 angle

12+28

40

And since PTR is next to it we subtract 180 from this

180-40

140 degrees

Hopes this helps

Answer:

1, 2, and 3

Step-by-step explanation:

5% = 0.05 = 1/20

The first expression is equal, as 5% is equal to 1/20.

The second expression is equal, as 5% in decimal form is 0.05.

The third expression is equal, as 5% is 5/100 in fraction form, which can be simplified to 1/20.

The fourth expression is NOT equal, as it is 20%, not 5%. 1/5 = 0.2.

The fifth expression is NOT equal becauase 0.5 is one half (1/2), which is not equal to 0.05.

The phrase "given that they completed the homework" indicates that we're only looking at the students who completed the homework.  We're ignoring those students who didn't complete the homework.

Of the 19 students who completed the homework, 16 of those passed the test.

This gives us the fraction 16/19 which is about 0.842105263157895 or about 84.2%.

That's your probability that a student passed the test given that they completed the homework.

The total standard time required to processed for one hundred units as per given setup and run time is equal to 1120minutes.

As given in the question,

Number of units to be processed = One hundred units

Conversion used:

1 hour = 60 minutes

Time required for setup = 2 hours

                                        = 2 ( 60) minutes)

                                        = 120 minutes

Run time per piece = 10 minutes

⇒ Run time required for 100 units = 100 × 10

                                                        = 1000 minutes

Total standard time for 100 units is equal to

= Run time for 100 units + set time

= 1000 + 120

= 1120 minutes

Therefore, the total standard time required to processed 100 units is equal to 1120 minutes.

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The results most probably be invalid because the subjects were voluntary sample.

What is sample in statistics?

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Answer:1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

7/10-x+3/2=6/5

7/10-x=6/5-3/2

7/10-x=-3/10

-x=-10/10

x=1

[tex]\cfrac{7}{10}-x+\cfrac{3}{2}=\cfrac{6}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{7}{10}-x+\cfrac{3}{2} \right)=10\left( \cfrac{6}{5} \right)}\implies 7-10x+15=12 \\\\\\ 22-10x=12\implies 22=10x+12\implies 10=10x\implies \cfrac{10}{10}=x\implies 1=x[/tex]

Apple pies are $5 and pumpkin pies are $15

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

5a+12p=205............(1)

2a+1p=25.................(2)

Now, Multiply (2) by -12 to get

-24a-12p=-300

and, 5a+12p=205

-24a-12p=-300

Adding above Equations together

-19a=-95

a= 5

and, 2(5)+p=25

10+p=25

p=15

Hence, Apple pies are $5 and pumpkin pies are $15

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The one which uses Sir Ronald Fisher's F-distribution for the test statistic is to compare several population means simultaneously.

The F-distribution was developed by Sir Ronald Fisher to study the behavior of two variances from random samples taken from two independent normal populations. The F-distribution allows us to use a F statistic to compare two populations.

The F-distribution is also known as a right-skewed distribution used commonly in another statistical test called an Analysis of Variance (ANOVA). For ANOVA tests we can use the F-distribution to check whether the variance among the means of two populations significantly differ. The F-distribution can also be used in regression analysis to compare the fit of different models.

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Answer:

x = 3

Step-by-step explanation:

First, distribute the 3.

3(x - 5) + 2x = 0

3x - 15 + 2x = 0

Next, combine the x's.

(3x + 2x) - 15 = 0

5x - 15 = 0

Then, add 15 to both sides.

5x = 15

Finally, divide by  5 on both sides.

x = 3

The triangle is an Equilateral triangle.

What is an equilateral triangle?

In geometry, an equilateral triangle is a triangle in which all three sides are equal. In an equilateral triangle, all three angles are 60 degrees.

Angle bisector means a bisector which divides an angle into two equal parts. A perpendicular bisector is a line which makes 90 degrees with the base and divides it into two equal parts.

In the case of an equilateral triangle, the angle bisector of each angle of a triangle and the perpendicular bisector of the opposite side is the same.

Hence the answer is an equilateral triangle.

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The depth of the water when the wave speed is 200 meters per second is 4081.63m

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.

Given,

In a tsunami, the wave speeds (in meters per second) can be modeled by s(d)=√9.8d,

Where d is the depth

We need to find the depth when speed is 200 meters per second

s(d)=√9.8d,

200=√9.8d,

Square on both sides

40000=9.8d

Now divide both sides by 9.8

d=4081.63m

Hence, the depth of the water when the wave speed is 200 meters per second is 4081.63m

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the Total deposit will be $935.2.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

Luna Brennan's is depositing $320 in currency, currency, $1.55 In coins, a check for $213.40, and a check for $400.25.

So Total deposite will be $320+$1.55+ $213.40+$400.25 = $935.2

Hence the Total deposit will be $935.2

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1.42 is the base of the equation and equation [tex]y = 51 (1.42)^t[/tex] represents the exponential function

An exponential function is a function which can be defined as f(x) = aˣ, Where 'x' is a variable and 'a' is a constant.

The given equation is,

[tex]y = 51 (1.42)^t[/tex]

The given function is in exponential power of t.

Since, the 1.42 is the base of the given function

And equation [tex]y = 51 (1.42)^t[/tex] represents the exponential function.

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Answer: $4/sandwich

Answer:

Below

Step-by-step explanation:

acceleration =  Δv /  Δt =  - 5/6   m/s^2  

                     ( negative sign shows it to be a deceleration)

F = ma

 =  30 ( -5/6)  = -25 N      or 25 N in the direction opposite of the velocity ( like a frictional force)

The number of shirts to be left for folding is 7 and the equation is F+N=22.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Boris has 22 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them. Write an equation relating N to F.

The equation will be written as,

N + F = 22

N + 15 = 22

N = 22 - 15

N = 7

Therefore, the number of shirts to be left for folding is 7 and the equation is F+N=22.

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The average of the new list of 4 numbers is 94.

If the average of the original list of 4 numbers is 90, then the sum of these 4 numbers is:

4 x 90 = 360

If the 4th number in the original list is 80, then the sum of the first 3 numbers in the original list is:

360 - 80 = 280

If the first 3 numbers in the new list are the same as in the original list then the sum of these new first 3 numbers is also:

280

If the 4th number in the new list is 96 then the sum of the 4 numbers in the new list is:

280 + 96 = 376

Therefore, the average of the new list of 4 numbers is:

376 / 4 = 94

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Answer

Step-by-step explanation:

Answer:

x=1, y=-3

Step-by-step explanation:

We first see there is a 3y in both equations. We can completely eliminate the y term by subtracting the equations.[tex](4x+3y=-5)-(-x+3y=-10)[/tex]. This gives us (4x--x)=(-5--10), which is 5x = 5. So, x = 1.

Now we can plug this value in to solve for y. Let's plug it in to [tex]-x+3y=-10[/tex]. We get [tex]-1 + 3y=-10[/tex], so 3y = -9 and y = -3. Hope this helps!

The shear and moment throughout the beam as functions of x are V = ( 30 - 2x ) kip and M = ( - x² + 30 x - 216 ) kip ft for 0 ≤ x ≤ 6 ft and V = 8 kip and M = ( 8 x - 120 ) kip ft for 6 ≤ x ≤ 10 ft

The ability to construct shear force diagrams (SFD) and bending moment diagrams (BMD) is essential for any student studying statics, mechanics of materials, or structural engineering. Both a long and a short route can be used to complete them. The extended method is more thorough and yields formulas for the internal shear and internal bending moments in beams in terms of x: V(x) and M(x), respectively. In introductory statics classes, this is typically the approach required to demonstrate understanding of the situation. The rapid method eliminates the need for calculations in terms of x and instead employs a more visual method that you may use to highlight the crucial areas on the diagrams before simply connecting the dots.

How to solve?

For 0 ≤ x ≤ 6 ft,

∑ Fy = 0

30 - 2 x - V = 0

V = ( 30 - 2x ) kip

∑M = 0

M + 216 + 2 x ( x / 2 ) - 30 x = 0

M = ( - x² + 30 x - 216 ) kip ft

For 6 ≤ x ≤ 10 ft,

∑ Fy = 0

V - 8 = 0

V = 8 kip

∑ M = 0- M - 8 ( 10 - x ) - 40 = 0

M = ( 8 x - 120 ) kip ft

the shear and moment throughout the beam as functions of x are :

V = ( 30 - 2x ) kip and M = ( - x² + 30 x - 216 ) kip ft for 0 ≤ x ≤ 6 ft

V = 8 kip and M = ( 8 x - 120 ) kip ft for 6 ≤ x ≤ 10 ft

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To determine whether the mean weight of two distinct turtle species is equal. It would take too much time and money to weigh each turtle because there are thousands of them in each group.

A two-sample t-test is used to determine whether or not genuine population means are equal.

The accompanying null hypothesis is usually used in a two-sample t-test:

[tex]H_0[/tex]: The two population averages are equivalent when 1 = 2.

The alternative hypothesis might have two tails, a left or right tail, or none at all:

Two-tailed [tex]H_1[/tex]: μ1 ≠ μ2 Neither of the two population means is equal.

(Left-tailed) [tex]H_1[/tex]: Population 1 mean is lower than population 2 mean by a factor of 1.

[tex]H_1[/tex] (right-tailed): Populations 1 and 2 have mean values that are higher than each other.

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Answer:

• Area of parallelogram = 270 in.²

• Area of square = 225 in.²

• Area of composite figure = 495 in.²

Step-by-step explanation:

We are given a composite figure made up of a parallelogram and a square and told to find its area.

To do this, we are told first to find the area of the parallelogram. The formula for the area of a parallelogram is:

[tex]\boxed{\mathrm{Area \ of \ parallelogram = base \times height}}[/tex].

From the figure, we can see that, for the parallelogram, height = 18 in. and base = 15 in. (since opposite sides of a parallelogram are equal).

Using this information, we can calculate the area of the parallelogram:
Area = base × height

        = 15 in. × 18 in.

        = 270 in.²

Next, we have to find the area of the square using the formula:

[tex]\boxed{\mathrm{Area \ of \ square = side \times side}}[/tex].

From the figure, we can see that the length of a side of the square is 15 in.

Therefore, using the formula above, we can calculate the area of the square:

Area = side × side

        = 15 in. × 15 in.

        = 225 in.²

Now that we know the respective areas of the two shapes that make up the composite shape, we simply have to add the areas together:

Area of composite figure = 270 in² + 225 in²

                                          = 495 in.²

Answer:

Step-by-step explanation:

Answer:

Answer is 4.

x = 4

Step-by-step explanation:

1. Simplified Solution: [tex]a^9[/tex]

2. Simplified Solution: [tex]x^1^0[/tex]

3. Simplified Solution: [tex]1024a^1^0b^1^5[/tex]

4. Simplified Solution: [tex]x^2[/tex]

5. Simplified Solution: [tex]\frac{1}{x^3}[/tex]

6. Simplified Solution: [tex]1[/tex]

7. Simplified Solution: [tex]\frac{4a^6}{b^8}[/tex]

8. Simplified Solution: [tex]32768x^1^0[/tex]

9. Simplified Solution: [tex]\frac{1}{x^1^2y^2^1}[/tex]

10. Simplified Solution: [tex]x^1^4y^1^1[/tex]

11. Simplified Solution: [tex]-\frac{3}{x^4}[/tex]

12. Simplified Solution: [tex]\frac{xy^1^1}{4}[/tex]

13. Simplified Solution: [tex]x^7[/tex]

14. Simplified Solution: [tex]xy^2[/tex]

15. Simplified Solution: [tex]1[/tex]

16. Simplified Solution: [tex]\frac{1}{1000x^1^5y^9}[/tex]

17. Simplified Solution: [tex]\frac{y^3}{x^2}[/tex]

18. Simplified Solution: [tex]\frac{1}{16x^4y^1^0}[/tex]

19. Simplified Solution: [tex]\frac{xy^2}{3}[/tex]

20. Simplified Solution: [tex]-\frac{y^1^2}{9x^4}[/tex]

21.Simplified Solution: [tex]3x^2y^2[/tex]

____________________________________________________

Hope this helps! And good luck! :D

Answer:

y=-2x+10

Step-by-step explanation:

Just use the formula y=mx+b and replace the letters with the numbers.

Answer: y = -2x + 10

Step-by-step explanation:

y = mx + b

m = -2

b = 10

x = unknown number

y = m(-2)x + b( 10)

The unknown value that has the solution as c = 4 of the given algebraic equation is; 2

The given algebraic expression for which we want to input a value and solve is given as; 5(2c − ?) =2(c + 11)

Now, we want to find the unknown value that has the solution as c = 4. Thus, we will plug in 4 for c into the given equation to get;

5(2(4) − ?) =2((4) + 11)

5(8 − ?) = 30

divide both sides by 5 to get;

(8 − ?) = 6

Add -6 + ? to both sides to get;

8 − ?  - 6 + ? = 6 - 6 + ?

? = 2

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Complete question is;

Complete the equation so that it has the solution c = 4.

5(2c − ?) =2(c+11)

Answer:

A. Linear

B. Non-linear

C. Linear

Step-by-step explanation:

A linear line has a consistent slope either going down (negative) or going up (positive.)

A. The x values are increasing by a constant rate of 1, and the y values are decreasing at a constant rate of 1. Therefore it is a linear relation.

B. The x values are increasing by a constant rate of 1, but the y-value repeats itself twice in the second and third column. Therefore it does not have a consistent slope and is not a linear relation.

C. The x values are increasing by a constant rate of 1, and the y- values increase by a constant rate of 2 except in column 4 making it a non-linear relation.

Answer:

Below

Step-by-step explanation:

Expand the parentheses to get

1/5 b   - 2a + 1/2 b     + 4a          gather like terms to get

2a  + 7/10  b

The function that represents the cost of David's bike rental plan, B(t) is C. B(t) = 0.6t + 5

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

From the information, David pays a flat rate of $5 and and extra $0.6 per day to rent his bike. The cost of David's bike rental plan, B(t). Let the extra day be illustrated by t.

This will be:

B(t) = 5 + (0.6 × t)

B(t) = 5 + 0.6t

The correct option is C.

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Complete question

David pays a flat rate of $5 and and extra $0.6 per day to rent his bike. The cost of David's bike rental plan, B(t), can be represented by which of the following functions?

A. B(t) = 5(0,6)^t

B. B(t) = 5(1 + 0.6)^t

C. B(t) = 0.6t + 5

D. B(t) = -0.6t + 5