7 minus the product of 5 and a number n

Answer:

C. 9, 40, 42

Step-by-step explanation:

C is the only set of three values that is not a Pythagorean Triple. In other words, they do not satisfy \(a^2+b^2=c^2\), as stipulated in the problem.

⇒ Answer choice C

Answer:

C

Step-by-step explanation:

Use phytogoras theorem

First small square area + second small square area = large square area

9 * 9 + 40 *40

81+ 1600= 1681(large square area)

Large square length =

Square root of 1681 = 41

Answer:

-26

Step-by-step explanation:

simplify and solve

-33-(-7)

= -33 +7

= -26

Answer:

y = 5

Step-by-step explanation:

The independent variable is the factor that is manipulated or varied in an experiment to observe its effect on the dependent variable. In this case, the dance program is the independent variable because the study is designed to examine the impact of the dance program on the participants' physical fitness and academic achievement.

The dependent variable is the outcome or result that is being measured in the experiment. In this study, the physical fitness and academic achievement of the urban children are the dependent variables because they are being observed and measured to determine if there is a change as a result of the dance program.

The dependent variables are dependent on the independent variable because their values are determined by the level of the dance program that the participants are assigned to.

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Step-by-step explanation:

(-8-9)+23

-17+23

6.........

The value of algebraic expression [(-8) + ( -9)] + 23 is 6.

Here,

We have to simplify;  the sum of -8 and -9, increased by 23.

And, find an algebraic expression.

What is Algebraic expression?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

Now,

The written expression is, the sum of -8 and -9, increased by 23.

It can be written as,

⇒ [(-8) + ( -9)] + 23

⇒ - 8 - 9 + 23

⇒ - 17 + 23

⇒ 6

Hence, The value of algebraic expression [(-8) + ( -9)] + 23 is 6.

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Answer:

Step-by-step explanation:

\( step - 1 : define\)

\(b + 66 = 180\)

\(step - 2 : solve\)

Answer:

Step-by-step explanation:

REcall that given a set A, * is a equivalence relation over A if

- for a in A, then a*a.

- for a,b in A. If a*b, then b*a.

- for a,b,c in A. If a*b and b*c then a*c.

Consider A the set of all ordered pairs of positive integers.

- Let (a,b) in A. Then a+b = a+b. So, by definition (a,b)R(a,b).

- Let (a,b), (c,d) in A and suppose that (a,b)R(c,d) . Then, by definition a+d = b+c. Since the + is commutative over the integers, this implies that d+a = c+b. Then (c,d)R(a,b).

- Let (a,b),(c,d), (e,f) in A and suppose that (a,b)R(c,d) and (c,d)R(e,f). Then

a+d = b+c, c+f = d+e.  We have that f = d+e-c. So a+f = a+d+e-c. From the first equation we find that a+d-c = b. Then a+f = b+e. So, by definition (a,b)R(e,f).

So R is an equivalence relation.

[(a,b)] is the equivalence class of (a,b). This is by definition, finding all the elements of A that are equivalente to (a,b).

Let us find all the possible elements of A that are equivalent to (2,4). Let (a,b)R(2,4) Then a+4 = b+2. This implies that a+2 = b. So all the elements of the form (a,a+2) are part of this class.

Answer:

50

Step-by-step explanation:

\(\frac{9}{5}(10)+32=50\)

Answer:

\( \frac{1}{4} (y + \frac{3}{2} )\)

the length of the patio is x = 12 feet.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees. Area of rectangle is A = a*b

A = x(x - 8)

48 = x(x - 8)

Expanding the right-hand side, we get:

48 = x^2 - 8x

Bringing all the terms to one side, we get:

x^2 - 8x - 48 = 0

This is a quadratic equation that can be factored as:

(x - 12)(x + 4) = 0

Therefore, either x - 12 = 0 or x + 4 = 0. Solving for x in each case, we get:

x = 12 or x = -4

Since the length of a patio cannot be negative, we reject the solution x = -4.

Therefore, the length of the patio is x = 12 feet.

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The solution to the expression (-x³ + x² - x + 1) / (x - 1) using long division is (x² - 2x + 3) + (4 / (-x - 1))

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the expression:

(-x³ + x² - x + 1) / (x - 1)

Using long division:

= x² + (2x² - x + 1)/(-x - 1)

= x² - 2x + (-3x + 1)/(-x - 1)

= (x² - 2x + 3) + (4 / (-x - 1))

The solution to the expression (-x³ + x² - x + 1) / (x - 1) using long division is (x² - 2x + 3) + (4 / (-x - 1))

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The Equation of bisector 5x-7y+3=0 which is a straight line.

A straight line that divides an angle of a triangle in equal value.

The line that lies perpendicular to a side and goes through the midpoint of its length.

Given, coordinate H (-7,2), K (3, -4) and L (5,4)

we plot a triangle HKL with this point.

midpoint of side HK is found by (-7+3)/2 and (2-4)/2

hence, midpoint of HK is (-2,-1) is denoted by P

the perpendicular bisector of side HK means a straight line from the midpoint of HK to the point L(5,4). The bisector line PL divide the angle HLK.

so, the equation of bisector is y-y₁ = (y₂-y₁)/(x₂-x₁)[x-x₁] because the bisector line passes through the point P(-2,-1) and L(5,4)

  y-(-1) = [4-(-1)]/[5-(-2)]× [x-(-2)]

y+1 = 5/7×(x+2)

7y+7= 5x+10

5x-7y+3=0

hence, the equation of bisector is 5x-7y+3=0

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The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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The system of inequalities that can be used to find the possible original prices of a laptop, x, and of a printer, y is: x + y ≥ 1050 and 0.8x + 0.9y > 860

Let x be the original price of the laptop and y be the original price of the printer.

So, the discounted price of the laptop is 0.8x and the discounted price of the printer is 0.9y

If the two are purchased together, the total discounted price is:

0.8x + 0.9y

This exceeds $860

0.8x + 0.9y > 860

The original prices of the two together is at least $1,050.

This can be written as:

x + y ≥ 1050

So, we have

x + y ≥ 1050 and 0.8x + 0.9y > 860

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The height of the projectile after 4 seconds is 421.28 ft.

The projectile is in the air for 8.015 seconds.

The horizontal distance traveled by the projectile is 881.77 ft.

The maximum height of the projectile is 464.1 ft.

To solve this problem, we can use the kinematic equations of motion for a projectile.

Let's assume that the initial height of the projectile is zero.

What is the height of the projectile after 4 seconds:

We can use the equation:

\(y = yo + vot + 1/2at^2\)

where

y = height of the projectile

yo = initial height (zero in this case)

vo = initial vertical velocity = 220 sin(60°) = 190.53 ft/sec

a = acceleration due to gravity \(= -32.2 ft/sec^2\) ( negative since it acts downwards)

t = time = 4 sec

Plugging in the values, we get:

\(y = 0 + (190.53)(4) + 1/2(-32.2)(4)^2 = 421.28 ft\)

Therefore, the height of the projectile after 4 seconds is 421.28 ft.

Long is the projectile in the air:

The time of flight of a projectile can be calculated using the equation:

t = 2vo sinθ / g

where θ is the launch angle and g is the acceleration due to gravity.

Plugging in the values, we get:

t = 2(220 sin(60°)) / 32.2 = 8.015 sec

Therefore, the projectile is in the air for 8.015 seconds.

Horizontal distance traveled by the projectile:

The horizontal distance traveled by the projectile can be calculated using the equation:

\(x = xo + vot + 1/2at^2\)

where

x = horizontal distance traveled

xo = initial horizontal position (zero in this case)

vo = initial horizontal velocity = 220 cos(60°) = 110 ft/sec

a = acceleration due to gravity (zero in the horizontal direction)

t = time = 8.015 sec

Plugging in the values, we get:

\(x = 0 + (110)(8.015) + 1/2(0)(8.015)^2 = 881.77 ft\)

Therefore, the horizontal distance traveled by the projectile is 881.77 ft.

Maximum height of the projectile:

The maximum height of a projectile can be calculated using the equation:

\(ymax = yo + (vo^2 sin^2 \theta ) / 2g\)

Plugging in the values, we get:\(ymax = 0 + (190.53^2 sin^2(60\degree )) / (2)(32.2) = 464.1 ft\)

Therefore, the maximum height of the projectile is 464.1 ft.

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Answer:

79665

Step-by-step explanation:

26555 + 26555 is 53110 then add 26555 again at it equals 79665

Answer:

79665

Step-by-step explanation:

26555 multiply by 3 is equal to 79665

A) There are 330 possible ways to form the committee if any EE and any CE can be included.

B) There are 210 possible ways to form the committee if one particular CE must be in the committee.

C) The total number of ways to form the committee with two particular CE excluded is 205

In this case, we are given a scenario where a committee is to be formed from a group of chemical and electrical engineers. Let's dive into the details of the problem and explore how probability can be used to solve it.

(a) If any EE and any CE can be included, we need to find the number of ways to form a committee of 7 members from a group of 6 CE and 5 EE. In this case, the order in which the committee members are selected does not matter, so we can use the formula for combinations.

The total number of ways to select 7 members from a group of 11 engineers is given by:

C(11,7) = 11! / (7! * 4!) = 330

(b) If one particular CE must be in the committee, we can first select that CE and then form the rest of the committee from the remaining engineers. The probability of selecting that particular CE is 1/6, since there are 6 CE in total.

Once we have selected that particular CE, we need to select 6 more members from a group of 5 EE and 5 CE (excluding the one we have already selected). The total number of ways to do this is given by:

C(10,6) = 10! / (6! * 4!) = 210

(c) If two particular CE cannot be in the same committee, we can use the principle of inclusion-exclusion to find the total number of ways to form the committee.

First, we find the total number of ways to form the committee without any restrictions. This is given by:

C(11,7) = 330

Next, we find the number of ways to form the committee with both particular CE included. This is given by:

C(9,5) = 126

We subtract this from the total number of ways to form the committee to get the number of ways with at least one of the particular CE excluded:

330 - 126 = 204

However, we have counted the case where both particular CE are excluded twice, so we need to add this back in:

C(7,7) = 1

Therefore, the total number of ways to form the committee with two particular CE excluded is:

204 + 1 = 205

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Answer:

the probability of rolling a sum of 6 with these dice is 1/6.

Step-by-step explanation:

To find the probability of rolling a sum of 6 with the given pair of dice, we can first list all possible pairs of outcomes that add up to 6:

(2,4)

(3,3)

(4,2)

For each of these pairs, we need to find the probability of rolling each number on its respective die and then multiply those probabilities together. The probability of rolling a particular number on one die is the number of times that number appears on that die divided by the total number of outcomes on that die.

For the first pair (2,4), the probability is:

(2 appears twice on one die out of six possible outcomes) × (4 appears once on the other die out of six possible outcomes) = (2/6) × (1/6) = 1/18

For the second pair (3,3), the probability is:

(3 appears twice on one die out of six possible outcomes) × (3 appears twice on the other die out of six possible outcomes) = (2/6) × (2/6) = 4/36

For the third pair (4,2), the probability is:

(4 appears twice on one die out of six possible outcomes) × (2 appears twice on the other die out of six possible outcomes) = (2/6) × (2/6) = 4/36

The total probability of rolling a sum of 6 is the sum of the probabilities of each possible pair:

1/18 + 4/36 + 4/36 = 1/6

Therefore, the probability of rolling a sum of 6 with these dice is 1/6.

The monthly income of the first person is $600.

Given that, the average monthly income of three persons is RS 3,600.

The income of the first is 1/5 of the combined income of the other two.

Here, Let income of the first be A, let income of the second be B and let Income of the third be C.

A+B+C=3600 -----(i)

Income for the first person = 1/5(B+C) -----(ii)

Substitute equation (ii) in equation (i), we get

(B+C)/5 +B+C =3600

B+C+5B+5C=3600×5

6B+6C=18000

6(B+C)=18000

B+C=3000 ------(iii)

Substitute (iii) in equation (i), we get

A=$600

Therefore, the monthly income of the first person is $600.

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The amount of containers to assemble a robot illustrates proportions

Max can make 24 robots with the amount of glue he has

The given parameters can be represented using the following ratio/proportion

Ratio = Containers : Robots

So, we have:

Containers 1 : Robots 1 = Containers 2 : Robots 2

The ratio becomes

1/6 : 1 = 4 : Robots

Express as fraction

1/6 = 4/Robots

Rewrite as:

Robot/4 = 6/1

Multiply both sides by 4

Robots = 24

Hence, he can make 24 robots with the amount of glue he has

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Answer:

$3040 profit made

Step-by-step explanation:

$13×95=$1235 cost to make all the shoes they sold

$45×95=$4275 money she made

$4275-$1235=$3040 profit

Answer:

1200 dollars

Step-by-step explanation:

2x400 is 800 + 1x400 =1200

Answer:

y = |x-6|-4

Step-by-step explanation:

If the function is translated left 6, you subtract 6 from the x value. Then if you go down 4, you are subtracting 4 from the y value. Before going down, y = |x-6|. So subtract 4 from that and you get y = |x-6|-4.

Answer: LCM = 1320

Step-by-step explanation:

2 | 220, 440, 660

2 | 110, 220, 330

2 | 55, 110, 165

3 | 55, 55,165

5 | 55, 55 , 55

11 | 11, 11, 11

| 1, 1, 1

= 2 × 2 × 2 × 3 × 5 × 11

= 1320

Therefore the LCM is 1320

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Answer:

The answer is "\(\bold{\frac{2}{5}\ \ and \ \ \frac{6}{13}}\)".

Step-by-step explanation:

You have 4/10 opportunities to choose a white ball, and there'll be 7 white balls and 6 black balls out of 13, and so the second time they choose a white one is 7/13, as well as the second time they choose a black, 6/13. people will also have a 4/10 chance.  

There are 6/10 chances which users pick its black ball and 4 white balls would still be picked, but 9 black balls and out 13 balls and thus, its second and third time you select the white one is 4/13 but you are likely to pick a black for the second time is 9/13.  

Taking the diagram of the next tree. The very first draw is marked with a and the second draw is marked with b.

\(\to P(a) = \frac{4}{10}\ \ \ \ \ \ \ \ \ P(b) = \frac{6}{10}\\\\\to P(\frac{a2}{a1}) = \frac{7}{13} \ \ \ \ \ \ \ \ \ \ P(\frac{a}{b}) = \frac{4}{13}\\\\\to P(\frac{b2}{a1}) = \frac{6}{13} \ \ \ \ \ \ \ \ \ \ P(\frac{b2}{b1}) = \frac{9}{13}\)

Calculating the second drawn ball is white:

\(\to P(b2)=P(a)P(\frac{a2}{b1})+P(b)P(\frac{a}{b})\\\)

              \(=\frac{4}{10}\frac{7}{13}+\frac{6}{10}\frac{4}{13}\\\\=\frac{28}{130}+\frac{24}{130}\\\\=\frac{28+24}{130}\\\\=\frac{52}{130}\\\\=\frac{2}{5}\\\\\)

In point b:

\(\to P(\frac{b}{a1})= \frac{P(B)P(\frac{a}{b})}{P(a)P(\frac{a2}{b1})+P(b)P(\frac{a}{b})\\}\)

              \(=\frac{\frac{6}{10} \frac{4}{13}}{\frac{52}{130}}\\\\=\frac{\frac{24}{130}}{\frac{52}{130}}\\\\=\frac{24}{130} \times \frac{130}{52}\\\\=\frac{24}{52}\\\\=\frac{6}{13}\\\)

Answer:

the question does not make sense. please rewrite the question.

We will make use of the z-score to calculate the probability. The z-score is calculated using the formula:

where x is the score, μ is the mean, and σ is the standard deviation.

From the question, we have the following parameters:

Therefore, we have the z-score to be:

Using a calculator, we can get the probability value to be:

The probability is 0.9925 or 99.25%.

Answer:

7x - 7

Step-by-step explanation:

Product of x and 7 = 7x

7 minus 7x

7x - 7

Hence the expression is :

7x - 7