Drag the tiles to the correct boxes to complete the pairs.

Answer:

Step-by-step explanation:

13+22=35%

Using Pythagoras's theorem, the relationships of the sides of the right triangle is x² - 21x + 108 = 0.

The value of x in the right triangle is x = 9 or x = 12.

The right angle triangle is a triangle with one of its angles as 90 degrees. The sides of a right angle triangle can be found using Pythagoras's theorem.

Hence,

c² = a² + b²

where

Therefore, the equation to show the relationships between the three sides can be gotten by applying Pythagoras's theorem.

x² + (21 - x)² = 15²

x² + (21 - x)(21 - x) = 225

x² + 441 - 21x - 21x + x² = 225

2x² - 42x + 441 - 225 = 0

2x² - 42x + 216 = 0

divide through by 2

x² - 21x + 108 = 0

Let's find the value of x by factoring.

x² - 21x + 108 = 0

x² - 12x - 9x + 108 = 0

x(x - 12) - 9(x - 12) = 0

(x - 9)(x - 12) = 0

Therefore,

x = 9 or x = 12

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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.

Answer:

1/3

Step-by-step explanation:

1/9 is one piece in total of 9 but 1/3 is one piece in total of 3

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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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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The predicted quantity of balls in the first bin is (1/n)n.

Considering that,

There are the same number of balls and containers.

If so, then each container must always contain one ball. The probability of each ball landing in the first bin is (1/n)n.

For instance -

Three balls and three bins should be present. Next to each ball, place an A, B, and C. There are numbers 1, 2, and 3 on the containers. Ball A has a 1/3 chance of landing in bin 1. Although there is a 1/3 probability that ball B will drop in bin 1 and a 1/3 chance that ball C will do the same, both outcomes are possible. Therefore, bin 1 should be equal to 1/3 + 1/3 + 1/3. The rationale behind the projected values of bins 2 and 3 is identical.

According to the same logic, bins 2 and 3 should also have expected values of 1.

How probable is it that the first bin will receive all three balls?

In general, (1/n)n, which equals (1/3)3, or 1/3 x 1/3 x 1/3, equals 1/27.

Therefore, (1/n)n would be the expected number of balls in the first bin.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

A .

1150-1090=60

60feet/5sec = 12feet/sec

B.

yes it's is constant , because is decreasing by 60 feet in every 5 sec

C.1150

Part a:  10z > 25,670; infinite integer.

Part b: Range =  2550 to 2649.

Part a:  10z > 25,670

Divide the inequality on both sides by 10.

z >  2,567

Thus, there are infinite number which are greater than 2567.

Part b:  z rounded to the nearest hundred is 2,600.

Range =  2550 to 2649.

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The statement is 1000 g = 1 kg. One thousand grams is equal to one kilo grams, to put it in words.

Given that,

The statement is 1000 g = 1 kg. One thousand grams is equal to one _____ grams, to put it in words. (Write the prefix; leave out the dashes.)

We have to fill the blank.

We know that,

The metric system's fundamental mass unit is the kilogram. In the past, it has been measured using a variety of sources. It was first calculated based on the weight of 1000 cc of water. Water density varies according to temperature. Furthermore, this reference has been abandoned since the contaminants and solutes in water also provide erroneous results when standardizing the ideal mass of 1 kg.

A gram is described as the 1/1000th of a kilogram in the reference used to define a mass of 1 kg. The maximum density of 1 g/cc was originally used to define it as the mass of 1 cc of water.

Therefore, The statement is 1000 g = 1 kg. One thousand grams is equal to one kilo grams, to put it in words.

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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

Step-by-step explanation:

light blue.

our function needs to calculate r out of h.

P does not recognize h (hours after midnight) as parameter. P needs c as input.

T needs h as input and delivers c as output.

therefore (P ○ T)(h) = r is correct.

first the "inner" T function is calculated with h as parameter and then P is calculated using the result from T (c) as input and delivers r.

Answer:

1

Step-by-step explanation:

assuming your points are (0,3) and (-3,0) you would "rise" 3 and "run" 3 to get from one point to the next on a graph, making your rise over run (aka slope) 3/3 which is equal to 1.

If Greg is at work for 10 hours a week, he spends 30 hours traveling to work.

Explanation

No of hours he works in a week = 10

No of hours he spends on travelling = 3 * no of hours he works in a week

=10 x 3 =

30 hours

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious.

The repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

In addition to addition, subtraction, and division, multiplication is a mathematical operation. The four fundamental arithmetic operations are taught to students in their primary classes.

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The measurements are represented by lengths of a triangle's sides by -

The triangle's three sides must satisfy the following condition:

"The total of any two triangle sides must be larger than or equal here to third side of the triangle."

We have four options in this question, so we'll go through them one at a time.

Since (1+3)<7  in this case, a triangle cannot be formed.

Since (3+3)<7 in this case, a triangle cannot be formed.

In this instance, (3+7)>8, (3+8)>7, and ((7+8)>3

Thus, a triangle will be formed by these.

In this instance, (3+5)>7, (3+7)>5, and (5+7)>3

Thus, a triangle will be formed by these.

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The options for the question are attached.

Answer:

The top right

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because for every x there is a only an y

Applying the property of the diagonals of a parallelogram, XF = 13 units.

A parallelogram is a quadrilateral with the following properties:

DF and EG are diagonals of parallelogram DEFG, where:

DF = 5x + 1

EX = 2x

XG = 3x - 5

Based on the property of the diagonals of a parallelogram, we have:

EX = XG

Substitute

2x = 3x - 5

2x - 3x = -5

-x = -5

x = 5

Length of XF = 1/2(DF)

Substitute

Length of XF = 1/2(5x + 1)

Plug in the value of x

Length of XF = 1/2(5(5) + 1)

Length of XF = 13 units

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Answer: 40.7 kph is how much she was speeding

Step-by-step explanation:

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]

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)

Suppose 's' be a collection of 'n' plane segments. It is true to say that a transversal as well as stabber for 's' is a line that crosses every segment of 's'.

A transversal in geometry is a line, ray, as well as line segment that, on a plane, overlaps other lines, rays, including line segments at various locations.

Thus, if 's' be a collection of n plane segments. It is true to say that a transversal as well as stabber for 's' is a line that crosses every segment of s.

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The outcome is Reject H0 and make a Type 1 error

What is H0?

When your sample contains sufficient evidence, you can reject the null and conclude that the effect is statistically significant. Statisticians often denote the null hypothesis as H0.

Here type 1 error is defined as Rejecting H0 when H0 is true.

Therefore, the outcome is Reject H0 and make a Type 1 error.

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The colored type of led is more expensive if you order 3 strings of white led lights and 2 strings of colored led lights for 66$.

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

First type of white led have 3 strings=3x

Second type of colored led have 2 strings and bought only one string=2y

The total cost =3x+2y=66    ----------->(1)

In the second order ,

Each string brought only one=x+y=27 ------->(2)

Solving equations 1 and 2

From eq2, y=27-x

3x+2(27-x)=66

3x+54-2x=66

X=12

Y=27-x=27-12=15

Therefore, the type of colored led are expensive

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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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Answer:

[tex](6,1)[/tex]

Step-by-step explanation:

When reflecting over [tex]y=x[/tex], [tex](x,y) \longrightarrow (y, x)[/tex].

The expected counts for each possible outcome are given by Ei = npi

What is mutually exclusive​ outcomes?

When two events cannot happen simultaneously or at the same time, they are said to be mutually exclusive in probability theory. In other words, discontinuous occurrences are described as being mutually exclusive. The likelihood of two events occurring simultaneously is 0 if they are regarded as disjoint events. Events that do not occur simultaneously are said to be mutually exclusive. When a coin is tossed, for instance, the outcome will either be head or tail, but we cannot get both outcomes.

The expected counts for each possible outcome are given by Ei = npi

Suppose there are n independent trials of an experiment with k > 3 mutually exclusive outcomes,

where pi represents the probability of observing the ith outcome.

The expected counts for each possible outcome are given by Ei = npi

Where,  pi is the probability of observing the ith outcome

Ei is the expected count of the ith outcome.

Hence, The expected counts for each possible outcome are given by Ei = npi.

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For the given set of equations x/2 + y/3 = 1 and x/4 + 2y/3 = -1 the sum of x and y is 1.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given set of equations are,

x/2 + y/3 = 1,        

x/4 + 2y/3 = -1.

Simplify both the equations,

3x + 2y = 6         (1)

3x + 8y = -12       (2)

Subtract equation (2) and (1),

6y = -18

y = -3

Substitute the value of y = -3, in equation (1)

3x + 2(-3) = 6

3x - 6 = 6

3x = 12

x = 4

The sum of x and y,

x+y = 4 - 3

      = 1

The sum of x and y for the given equations, is 1.

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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

The median is 10 as the value 10 is at 10th position.

What is Median?

The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data collection.

Solution:

Firstly we need to arrange the data in ascending order

6,6,6,7,7,7,8,8,10,10,10,10,10,10,10,10,10,88,88

the total number of digits are

n = 19

So, the middle value that divide the data in two halves will be at n = 10

The median is 10 as the value 10 is at 10th position.

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