Simplify: (-6 + 10) + [ 14+ ( -7 ) ]+ (-10)

The line that would appear parallel to HG and would go through point D, is DC.

When describing parallel lines, we describe two lines in the same plane that are equally spaced apart and never cross each other. Both horizontal and vertical shapes are possible.

The only line that would go through point D and would be parallel to line HG, would therefore be Line DC. This is because this line is equally spaced from line HG and would never cross it.

In conclusion, line DC would be parallel to line HG.

Find out more on parallel lines at https://brainly.com/question/26961508

#SPJ1

The first four terms of the sequence given the sequence definition are 17, 15, 13 and 11

From the question, we have the definition of the function that can be used in our computation:

f(n) such that

f(1) = 17

f(n) = f(n - 1) - 2 if n > 1

The above definitions imply that we simply subtract 2 from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

f(2) = 17 - 2

f(2) = 15

Also, we have

f(3) = 15 - 2

f(3) = 13

Lastly, we have

f(4) = 13 - 2

f(4) = 11

Hence, the the first four terms are 17, 15, 13 and 11

Read more about sequence at

brainly.com/question/7882626

#SPJ1

for the given normally distributed random variable,

(a) P(16 < X < 22) = 0.7333

(b) P(X < k1) = 0.2946; such that the value of k1 = 16.625

(c) P(X > k2) = 0.8186; such that the value of k2 = 15.725

(d) The two cut-off values that contain the middle 90% of the normal curve area are -1.64 and +1.64.

The formula for finding the z-score is

z = (X - μ)/σ

Here the mean (μ) and the standard deviation (σ) are applied.

It is given that, a normally distributed random variable X has a mean μ = 18 and the variance σ² = 6.25.

So, its standard deviation is σ = √6.25 = 2.5

(a) P(16 < X < 22)

The z-score for X = 16 is

z = (X - μ)/σ ⇒ z = (16 - 18)/2.5 = -0.8

The z-score for X = 22 is

z = (X - μ)/σ ⇒ z = (22 - 18)/2.5 = 1.6

So, the probability becomes

P(16 < X < 22) = P(-0.8 < z < 1.6)

                       = P(z < 1.6) - P(z < -0.8)

From the distribution table, we have P(z < 1.6) = 0.9452 and P(z < -0.8) = 0.2119.

So, we get

P(16 < X < 22) = 0.9452 - 0.2119 = 0.7333

(b) The value of k1 such that P(X < k1) = 0.2946:

we have P(X < k1) = 0.2946

⇒ P(X < k1) = P(z < (k1 - μ)/σ) = 0.2946

From the table, we know that,

P(z < -0.55) = 0.2946

So,

(k1 - μ)/σ = -0.55

⇒ (k1 - 18)/2.5 = -0.55

⇒ k1 - 18 = -0.55 × 2.5 = -1.375

∴ k1 = -1.375 + 18 = 16.625

(c) The value of k2 such that P(X > k2) = 0.8186:

we have P(X > k2) = 0.8186

⇒ P(z > (k2 - μ)/σ) = 0.8186

⇒ 1 - P(z < (k2 - μ)/σ) = 0.8186

⇒ P(z < (k2 - μ)/σ) = 1 - 0.8186 = 0.1814

From the table, we know that P(z < -0.91) = 0.1814

So,

(k2 - μ)/σ = -0.91

⇒ (k2 - 18)/2.5 = -0.91

⇒ k2 - 18 = -0.91 × 2.5 = -2.275

∴ k2 = -2.275 + 18 = 15.725

(d) The two cut-off values that contain the middle 90% of the normal curve area are -1.64 and +1.64 since the z-score for a 90% confidence interval is 1.64.

Learn more about the normal distribution here:

https://brainly.com/question/26822684

#SPJ4

They can be arranged in 2 ways around a circular table.

Permutation in a circle is called circular permutation. The number of ways to arrange distinct objects along a fixed (i.e., cannot be picked up out of the plane and turned over) circle is. The number is instead of the usual factorial since all cyclic permutations of objects are equivalent because the circle can be rotated.

If we consider a round table and  persons then the number of different sitting arrangement that we can have around the round table is an example of circular permutation.

It is represented as; P = (n -1)!

P = (n -1)!

where n = 3

P = (3-1)!

P = 2!

P = 2 ways.

Learn more about cyclic permutations here: https://brainly.com/question/1216161

#SPJ1

The cost of the flooring task is $35

Consider the image I attached:

Actual area of floor = Area of  rectangle A + Area of  rectangle B

Actual area of floor = (6×3) + (2×1) = 18 + 2 = 20 ft²

With Estimate of 5% more than the actual area in case of mistakes:

Area = 20 + (5/100 × 20)

Area = 20 + 1 = 21 ft²

Since Cost: $20 for 12 square feet of flooring. Thus:  

Cost of task = 21/12 × 20 = $35

Learn more about area of composite figure on:

brainly.com/question/21135654

#SPJ1

To Bisect the line segment CD, the next step is option B. Swing an arc on both sides of line segment CD.

Bisection is a process of dividing a given line, or angle into two equal parts or measures respectively. This could either be a line bisector or an angle bisector as the case may be.

Thus to bisect the line CD, the following steps are required:

The next step for Ian is to swing an arc on both sides of line segment CD i.e option B.

Learn more about bisector of a line segment at https://brainly.com/question/929137

#SPJ1

Answer:

b

Step-by-step explanation:

took test

Option B.

Don't be the only person without a great gift at the next baby shower.

What is the bandwagon technique?

It is a psychological phenomenon whereby the rate of uptake of beliefs, ideas, fads and trends increases with respect to the proportion of others who have already done so. As more people come to believe in something, others also "hop on the bandwagon" regardless of the underlying evidence.

Below are some examples of the Bandwagon Effect: Diets: When it seems like everyone is adopting a certain fad diet, people become more likely to try the diet themselves. Elections: People are more likely to vote for the candidate that they think is winning.

Hence ,  Don't be the only person without a great gift at the next baby shower is the correct answer .

Learn more about bandwagon technique at :

https://brainly.com/question/25964758

#SPJ4

Answer:

P(t) = 12,000 (1.032)t

Step-by-step explanation:

P(t) = P0 (1.032)t

t = years

P0 = 12,000

P(t) = 12,000 (1.032)t

a = 12,000

b = 1.032

hoped that helped

A space whose constituents are all single point sets is said to be completely isolated. Related to this property, the space X is such that the two distinct open sets of  x and y are disjoint. In some cases, they are said to be completely isolated. We use U and x and V and y, X is the becomes a join. Of course, all perfectly isolated spaces are completely isolated, but not vice versa. For example, take two copies of the rational number Q and identify them at all points except zero. The resulting quotient topology space is completely separated and subset. In fact, it is not Hausdorff, and strictly speaking, the condition of complete separation is stronger than the condition of being Hausdorff.

In topology and related mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint, non-empty, open subsets. Connectivity is one of the most important topological properties used to distinguish topological spaces.

A subset of a topological space X is a connected space when viewed as a subspace of X.

Some related but stronger conditions are path connections, single connections, and n connections. Another related term is locally attached. It does not imply or derive connectivity.

At a given point x in the topological space X, X is an arbitrary collection of connected subsets each containing x is the union of The connected component of a point x in X is the uniquely largest connected subset of X containing  is the union (the subset of X associated with containing x . The maximally connected subset of the non-empty topological space (containing) are called connected components of the space. The components of any topological space X form a partition of X. , is not empty, and their union is the entire space: each component is a closed subset of the original space. If that number is finite, each component is also an open subset. However, that may not be the case if the number of them is infinite. For example, the connected component of the set of rational numbers is an open singleton.

Let Гₓ be the topological space X and Г'ₓ be the intersection of all Clepen sets containing x (called subcomponents of x).

Learn more about Subsets:

https://brainly.com/question/17514113

#SPJ4

The amount of Amy earn if she sold her shares today will be;

⇒ $8,038

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Amy purchased 100 shares of Monsanto Company for $66.10 per share.

Today the stock is selling for $80.45.

And, a charge of $7.00 to buy and sell.

Now,

Since, Today the stock is selling for $80.45.

And, A charge of $7.00 to buy and sell.

Hence, The amount for Amy earn if she sold her shares today is;

⇒ $80.45 × 100 - $7

⇒ $8,045 - 7

⇒ $8,038

Thus, The amount of Amy earn if she sold her shares today will be;

⇒ $8,038

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

There are 12 chaperones in total.

In molecular biology, molecular chaperones are proteins that help big proteins or macromolecular protein complexes fold or unfold conformationally. There are different groups of molecular chaperones, all of which have the same purpose: to help big proteins fold properly during or after synthesis as well as following partial denaturation. Protein translocation for proteolysis involves chaperones as well.

The first molecular chaperones to be identified are an assembly-type of chaperones that help nucleosomes form from folded histones and DNA.

Since heat stress increases the propensity for protein aggregation, one of the main roles of molecular chaperones is to prevent the accumulation of misfolded proteins. As a result, many chaperone proteins are categorized as heat shock proteins.

Chaperones and students combined: 3 + 20 = 23

by the number of individuals in total:

92 / 23 = 4

Divide that sum by the proportional number of chaperones:

4 x 3 = 12

There are 12 chaperones in total.

Know more about chaperones at:

https://brainly.com/question/29510468

#SPJ4

Using Euclid's Algorithm, the greatest common divisor or 8406 and 1242  is 18

The first number = 8406

The second number = 1242

We have to find the greatest common divisor of the given numbers 8406 and 1242 using the Euclid's Algorithm

8406 / 1242 = 6 R 954

8406 = 6 × 1242 + 954

1242 /  954 = 1 R 288

1242 = 1 × 954 + 288

954 / 288 = 3 R 90

954 = 3 × 288 + 90

288 / 90 = 3 R 18

288 = 3 × 19 + 18

90 / 18 = 5 R 0

90 = 5 × 18 + 0

The remainder became zero, so the greatest common divisor 18

Therefore, the greatest common divisor of 8406 and 1242 is 18

Learn more about greatest common divisor here

brainly.com/question/27962046

#SPJ4

one of the answers to your part is 15 ill get the rest done give me 5 minutes

Clarice did not verified the answer to verify the check should be 5×[tex]1\frac{1}{2}[/tex] = [tex]7\frac{1}{2}[/tex]

A division is a process of splitting a specific amount into equal parts.

Given,

[tex]7\frac{1}{2}[/tex]÷[tex]1\frac{1}{2}[/tex]

15/2÷3/2

When fraction is divided by fraction the denominator turns to reciprocal and multiplied with numerator

15/2×2/3=5

Clarice did not verified the answer

5×[tex]1\frac{1}{2}[/tex] should be equal to [tex]7\frac{1}{2}[/tex]

Hence, Clarice did not verified the answer to verify the check should be 5×[tex]1\frac{1}{2}[/tex] = [tex]7\frac{1}{2}[/tex]

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ1

Answer:

width ≈ 70.7 m

Step-by-step explanation:

let the width be w , then length = 2w

the area (A) of a rectangle is calculated as

A = lw ( l is length and w is width )

given A = 10,000 , then

2w × w = 10,000

2w² = 10,000 ( divide both sides by 2 )

w² = 5,000 ( take square root of both sides )

w = [tex]\sqrt{5,000}[/tex] ≈ 70.71 ( to 2 decimal places )

approximate width is 70.7 m ( to 1 decimal place )

The equation that shows the relationship between x and y is y = 2x. Option D is the correct option.

What is relationship between two variables?

A correlation exists between the two variables in question. A correlation coefficient is a metric that quantifies the strength of a relationship or level of correlation. A correlation coefficient is a measure of the strength and direction of a relationship expressed numerically.

The general equation of a line that passes origin is y = mx.

Find some point on the line:

The points that lie on the line are (1,2) , (2, 4), (3,6) etc.

Since the points lie on the line, thus they will be satisfy the equation of line.

Putting x = 1 and y = 2 in y = mx:

2 = m × 1

m = 2

Putting m = 2 in y = mx:

y = 2x

To learn more about equation of line click on below link:

https://brainly.com/question/28767396

#SPJ1

The value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

what is piecewise function?

A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a specific interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a way to express the function.

We have to evaluate the piecewise function for x = -1 and x = 9.

Let, function has value for x = -1 in the domain x ≤ 5 which is 11.

And function has value for x = 9  in the domain 6 < x which is 1.

⇒  f(-1) = 11 and f(9) = 1

Hence, the value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

To know more about piecewise function, click on the link

https://brainly.com/question/27262465

#SPJ1

Answer:

Step-by-step explanation:

You want the length of the minimum perimeter fence to enclose 3 sides of a rectangular area of 128 m² with one side of the enclosure provided by a river. You also want the enclosure dimensions.

If x represents the dimension of the enclosure parallel to the river, then the other dimension of the enclosure is found from ...

  A = LW

  128 = x·W

  W = 128/x

There will be two sides of this length, so the perimeter is ...

  P = L +2W = x +2(128/x)

  P = x + 256/x

This has an extreme value (minimum) where its derivative is zero:

  dP/dx = 0 = 1 -256/x²

Solving for x gives ...

  x² = 256

  x = √256 = 16

and the perimeter is ...

  P = 16 +256/16 = 32

The other dimension is 128/16 = 8.

The minimum perimeter is 32 meters; the enclosure is 16 by 8 meters.

__

Additional comment

This can be solved without using derivatives by working the reverse problem: the largest area for a given perimeter.

Using the same definition of x, the area in terms of perimeter is ...

  A = x · (P -x)/2

This is a quadratic equation with a maximum halfway between its zeros at x=0 and x=P. So, the value of x for maximum area is x = P/2. That area is ...

  A = (P/2)(P -P/2)/2 = (P/2)(P/4) = P²/8

Or, the minimum perimeter for a given area is ...

  P = √(8A)

In this problem, that is ...

  P = √(8·128) = √1024 = 32

The dimensions of the enclosure are (P/2)×(P/4) = 16×8.

The product of first ten prime number is 6.67*10^9 and the number of zeros are nine.

A zero is formed by the product of 2 and 5. Thus, to find the number of zeroes, we have to find the number of 2s and 5s in 10! We see that there are 8 twos and 2 fives. Since forming a 0 requires a 2 and a 5, only 2 zeroes will be there at the end of 10!

The first 10 primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29

The multiplication of these number is 2*3*5*7*11*13*17*19=~10*50*100*200*667=10^7*667=6.67*10^9

The number of zeros are nine.

To learn more about prime number check the link below:

https://brainly.com/question/145452

#SPJ4

The correct statement is,

If the value of the linear correlation coefficient, r, is near −1, then the data viewed as a scatterplot is tightly bundled around some line, and predictions made with the line of best fit within the scope of data are reliable.

What is linear correlation?

When the proportional relationship between two given variables is the same or constant, linear correlation is said to exist. As an illustration, the expenditures increase by 5% each time the income increases by 20%. When the ratio of variations between two given variables changes, there is said to be a non-linear correlation.

Since,

r = - 1 means there is a negative relationship between the two variables

r=+1 means there is a positive relationship between the two variables

r= 0 means that there is no relationship between the two variables so  we can not predict the value of dependent variable using the independent variable.

Hence the statement, If the value of the linear correlation coefficient, r, is near −1, then the data viewed as a scatterplot is tightly bundled around some line, and predictions made with the line of best fit within the scope of data are reliable is correct.

To know more about linear correlation, click on the link

https://brainly.com/question/4219149

#SPJ4

Complete question:

Which of the following statements regarding regression and correlation are true? (There may be more than one correct answer.)

a. If the value of the linear correlation coefficient, r, is near −1, then the data viewed as a scatterplot is tightly bundled around some line, and predictions made with the line of best fit within the scope of data are reliable.

b. When the linear correlation coefficient is positive, then the slope of a linear regression equation must be negative.

c. If the linear correlation coefficient is near –1, then the slope of the related least squares line will also be close to –1.

d. If the linear correlation coefficient is close to 0 in value, then the best prediction model to use for any value of the independent variable is the mean(average) of the dependent variable values.

Answer:

  the Pythagorean theorem was used

Step-by-step explanation:

You want to know the missing side in a right triangle with hypotenuse 15 cm and one side 9 cm.

The Pythagorean theorem tells you the relationship between sides 'a' and 'b' and hypotenuse 'c' in a right triangle is ...

  a² +b² = c²

  9² +?² = 15² . . . . use the given values

  ?² = 225 -81 = 144 . . . . subtract 9²

  ? = √144 = 12 . . . . . . . take the square root

The length of the missing side is 12 cm.

__

Additional comment

The little green square in the upper corner tells you that is a right angle, and the triangle is a right triangle.

All units of length are in cm.

Its is true that C ⊆ D means Every element of C is present in D

According to he question,

Let C = {n ∈ Z | n = 6r – 5 for some integer r}

D = {m ∈ Z | m = 3s + 1 for some integer s}

We have to prove : C ⊆ D

Proof : Let n ∈ C

Then there exists an integer r such that:

n = 6r - 5

Since -5 = -6 + 1

=> n = 6r - 6 + 1

Using distributive property,

=> n = 3(2r - 2) +1

Since , 2 and r are the integers , their product 2r is also an integer and the difference 2r - 2 is also an integer then

Let s = 2r - 2

Then, m = 3r + 1 with r some integer and thus m ∈ D

Since , every element of C is also an element of D

Hence ,  C ⊆ D proved !

Similarly, you have to prove D ⊆ C

To know more about integers here

https://brainly.com/question/15276410

#SPJ4

The words that can be used to fill in the blanks are;

3) Work

4) fulcrum

5) simple machine

6) compound machine

7) All of these

8) pulley

9) wheel and axle

10) screw

11) wedge

12) inclined plane

We know that the term force has to do with a push or a pull force has to do with that which could cause an object to move some distance in the direction of the force that has been applied.

There are several kinds of simple machine. Let us recall that a machine has to do with any material that eases our work. It is the material that helps us to exert a lesser effort in order to move a heavier load.

The various kinds of simple machines that we have are;

The Lever is a simple machine that is composed of the load, the fulcrum and the effort.

Learn more about simple machine:https://brainly.com/question/10075890

#SPJ1

The value of the discrimination for the given equation is 17.

Here we have to find the value of the discrimination for the equation.

Given equation:

√2x² - 5x + √2 = 0

The formula for the discriminant of the equation for the general equation ax² + bx + c = 0

D = b² - 4ac

As the equation is given:

√2x² - 5x + √2 = 0

a = √2

b = -5

c = √2

So D = b² - 4ac

        = (-5)² - 4√2×√2

        = 25 - 4×2

        = 25 - 8

        = 17

Therefore the value of the discriminant is 17.

To know more about the discriminant refer to the link given below:

https://brainly.com/question/2507588

#SPJ4

Answer:

c=4

Step-by-step explanation:

all three angles of a triangle add up to be 180

we can add all of these angles and set it to 180 to find c

88+12c+11c=180

88+23c=180

-88          -88

23c=92

/23.  /23

c=4

hopes this helps please mark brainliest

a. The equation for the transformed function is y = -2(x + 4)^2 - 3.

b. The graph of the transformed function will be a parabola with a vertex located at (x,y)=(-4,-3). The parabola will open downwards, have a maximum at -3, and have a line of symmetry along the x-axis. The parabola will have an x-intercept at x=-4, and will stretch outwards to the right and left infinitely. The graph will look like a U-shaped curve that is shifted down 3 units and has a maximum at -3.

To begin, we can start with the equation of a standard parabola, y=x^2. To shift the parabola 4 units to the left, we can add a -4 to the x term in the equation, giving us y=x^2-4. To stretch the parabola vertically by a factor of 2, we can multiply the equation by -2, giving us y=-2(x^2-4). To reflect the parabola over the x-axis, we can multiply the equation by -1, giving us y=-2(x^2-4) -3. This gives us the equation y=-2(x+4)^2 - 3, which is the equation of the transformed function.

Learn more about parabola here :

https://brainly.com/question/4074088

#SPJ4

a) The area under the standard normal curve to the right of z=2.25 is 0.0122

b) The area under the standard normal curve between z=-2.48 and z=-1.02.

The possibility of something is how probable it is to happen. When we don't know how an event will turn out, we can talk about the probabilities of many outcomes—how likely they are. Statistics is the study of events with a probability component.

Probability theory, which is extensively used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization. For example, it can be used to infer information about the expected frequency of events. The mechanics and regularities that underlie complex systems are also described using probability theory.

a) P(z>2.25)

=1-P(z≤2.25)

=1-0.9878

=0.0122

b) P(-2.48<z<-1.02)

=P(z<-1.02)-P(z<-2.48)

=0.1539-0.0066

=0.1473

To know more about probability, visit:

https://brainly.com/question/11234923

#SPJ1

Therefore the derivative of the function y= [tex]\int\limits^{cosx}_{sinx} {3+V^{3} } \, dV[/tex] is dy/dx=- sinx(3 + [tex]cosx^{3}[/tex]) -cosx(3 + [tex]sinx^{3}[/tex])

The derivative of a function of a real variable in mathematics quantifies the sensitivity of the function value to a change in its argument. An important calculus tool is the derivative.

Here,

y= [tex]\int\limits^{cosx}_{sinx} {3+V^{3} } \, dV[/tex]

y=[tex][\int\limits^{cosx}_{c} +\int\limits^{c}_{sinx}] {(3+V^{3}) } \, dV[/tex]

y=[tex]\int\limits^{cosx}_{c} {(3+V^{3}) } \, dV +\int\limits^{c}_{sinx}{(3+V^{3}) } \, dV[/tex]

Therefore by the  Fundamental Theorem of Calculus

dy/dx=(3 + [tex]cosx^{3}[/tex])dcosx/dx - (3 + [tex]sinx^{3}[/tex])dsinx/dx

dy/dx=- sinx(3 + [tex]cosx^{3}[/tex]) -cosx(3 + [tex]sinx^{3}[/tex])

Therefore the derivative of the function y= [tex]\int\limits^{cosx}_{sinx} {3+V^{3} } \, dV[/tex] is dy/dx=- sinx(3 + [tex]cosx^{3}[/tex]) -cosx(3 + [tex]sinx^{3}[/tex])

To know more about derivative , visit

https://brainly.com/question/25324584

#SPJ4