The ratio of the sides of a triangle is 2:6:7. If the perimeter of the triangle is 195 meters, what is the length of the shortest side?

Answers

Answer 1

Answer:

The shortest side is 26 units.

Step-by-step explanation:

(2×13)+(6×13)+(7×13) = 195

2×13 = 26


Related Questions

PLEASE HELP answer 6 and 7 best explanation gets brainliest

PLEASE HELP answer 6 and 7 best explanation gets brainliest

Answers

Answer:

Imma write it in the explanation

Step-by-step explanation:

6. interior angles, alternate angles

for c to be parallel with d, we need 2 and 7 to be interior angles (a+b=180°, u/c shaped), and 3 and 5 to be alternate angles (a=b, z shaped).

7. 1+3=180°, 2+4=180°

there were 2 parallel lines in a trapezium, so for the c shape on 1 and 3 they add up to 180°, and same thing to 2 and 4.

what is the slope shown

what is the slope shown

Answers

Answer:

1/4

Step-by-step explanation:

can someone please solve and explain how you got your answer, WILL GIVE BRAINLIEST!!!

can someone please solve and explain how you got your answer, WILL GIVE BRAINLIEST!!!

Answers

Answer:

A, graph 4, S(0, 9)B, graph 3, R(9, 0)C, graph 1, P(3, 9)D, graph 2, Q(-3, 0)

Step-by-step explanation:

You want to identify the graphs that go with each of these functions, along with a particular point on the curve.

y = x² +3x +9y = (x +3)(x -9)y = (x -3)² +9y = -(x -9)(x +3)

Quadratic features of interest

The equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.

In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.

Standard form

The line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.

The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).

Factored form

Equation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).

Vertex form

The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'

Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).

Leading coefficient

Equation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).

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29. Find x and the dimensions of the rectangle below.
A = 126 ft²
x+2
x-3

Answers

The x value is 12, length is 14 feet and breath is 9 feet when the area of rectangle is 126 square feet.

Given that,

The rectangle has a surface area of 126 square feet.

The length is x+2 and the breath is x-3.

We have to find the x value, length and breath.

We know that,

The area of the rectangle is length × breath.

126=(x+2)(x-3)

126= x²-3x+2x-6

126= x²-x-6

x²-x-6-126=0

x²-x-132=0

x²-12x+11x-132=0

x(x-12)+11(x-12)=0

(x-12)(x+11)=0

x-12=0     or   x+11=0

x=12        or    x=-11

We take the x as positive so its 12.

Length is x+2=12+2=14

Breath is x-3=12-3=9

Therefore, The x value is 12, length is 14 feet and breath is 9 feet when the area of rectangle is 126 square feet.

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Consider a species of bird that can be split into three age groupings: those aged 0-1 years, those aged 1-2 years, and those aged 2-3 years. The population is observed once a year. Given that the Leslie matrix is equal to

Answers

Answer: hello your question lacks some information attached below is the complete question

answer :

a) attached below

b) 65 students aged 1-2 years

Step-by-step explanation:

For a Leslie matrix ; there is a relation

Pn = L^n Po  where ; Pn = population vector after n years , Po = initial population vector .

a) Initial population vector

attached below

\(\left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right]\)

b) Number of birds aged 1-2 years are available after 10 years

i.e. P10 = L^10 Po

note : Po = Xo

∴ P10 = \(\left[\begin{array}{ccc}0&2&1\\0.2&0&0\\0&0.4&0\end{array}\right]\)   \(\left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right]\)

we will apply  MATLAB to resolve the above matrix

P10  = \(\left[\begin{array}{ccc}217.91\\65.24\\31.911\end{array}\right]\)

∴ Number of children between 1-2 years left after 10 years  = 65.24 ≈ 65

Consider a species of bird that can be split into three age groupings: those aged 0-1 years, those aged

The total number of birds aged between 1-2 years which are available after 10 years is 65 and this can be determined by using the Leslie matrix relation.

Given :

Consider a species of bird that can be split into three age groupings: those aged 0-1 years, those aged 1-2 years, and those aged 2-3 years. \(\rm L = \left[\begin{array}{ccc}0&2&1\\0.2&0&0\\0&0.4&0\end{array}\right]\)

According to the given data, the initial population vector is given by:

\(x_0 = \left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right]\)

Now, the total number of birds aged between 1-2 years which are available after 10 years is:

\(\rm P_{10} = \left[\begin{array}{ccc}0&2&1\\0.2&0&0\\0&0.4&0\end{array}\right] \left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right]\)

Now, solve the above matrices in order to determine the value of \(\rm P_{10}\).

\(\rm P_{10} = \left[\begin{array}{ccc}217.91\\65.24\\31.911\end{array}\right]\)

Therefore, the total number of birds aged between 1-2 years which are available after 10 years is 65.

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what is the equation of the line that passes through the point (0,4) and (3,8)

what is the equation of the line that passes through the point (0,4) and (3,8)

Answers

Answer:

B

Step-by-step explanation:

this should be right

Answer:

\(y=\frac{4}{3}x + 4\)

Step-by-step explanation:

I used the slope formula and slope-intercept form  y  =  m x  +  b  to find the equation.

Hope this helps:)

solution needs to be expressed using log notation 6*10^t=360

Answers

Answer:

6

Step-by-step explanation:

so 6 times 10 equals 60, 60 times 6 is 360 so there you go  

Which expressions are equivalent to -5x - 15 + 25x - 30? Choose ALL that apply.

-5(-4x + 9)
−5(x – 3 + 5x – 6)
−5(x - 5x + 9)
-5(6x - 9)
-5(x + 3 - 5x - 6)
-5(x + 3 - 5x + 6)​

Answers

The expressions -5(-4x + 9) and -5(x - 5x + 9) are equivalent to -5x - 15 + 25x - 30. Option A and C

We can simplify the supplied expression and contrast it with the other possibilities to find which expressions are equivalent to -5x - 15 + 25x - 30.

We can combine similar words starting with -5x - 15 + 25x - 30, for example:

-5x + 25x - 15 - 30 = 20x - 45

Let's now examine each choice:

-5(-4x + 9):

After dividing the -5, we obtain:

20x - 45 = -5(-4x) + 5(9)

The provided expression and this expression are interchangeable.

−5(x – 3 + 5x – 6):

Once the -5 is distributed, we obtain: 20x - 45 = -5x + 15 - 25x + 30.

The given expression and this expression are not comparable.−5(x - 5x + 9):

When we condense the equation between the brackets, we obtain:

20x - 45 = -5(-4x + 9)

The provided expression and this expression are interchangeable.

-5(6x - 9):

The result of distributing the -5 is: 20x - 45 = -30x + 45

The provided expression and this expression are not equal.

-5(x + 3 - 5x - 6):

By condensing the expression in the parentheses, we arrive at the following: 20x - 45 = -5(-4x - 3)

The provided expression and this expression are not equal.

-5(x + 3 - 5x + 6): When the expression between the brackets is simplified, we get:

20x - 45 = -5(-4x + 9)

The provided expression and this expression are interchangeable.

The formulae -5(-4x + 9) and -5(x - 5x + 9) therefore equal -5x - 15 + 25x - 30.

The proper answers are A and C.

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The U.S. Bureau of Labor Statistics is a government agency that collects information about jobs in the U.S. In 2014, the Bureau reported that police officers had a median yearly salary of $52,936.

Calculate the average hourly wage for police officers. Round to the nearest cent. Assume that police officers generally work 40 hours a week. There are 52 weeks in the year.

Answer = $ per hour

Answers

$33.28 is the answer

Answer:25.45

Step-by-step explanation:

52936/1 year x 1 year/52 weeks x 1 week/40hours

In the equation 4u - 6 = 24, what is the next step in the equation solving sequence?


Identify and move the coefficient and variable.


Move all numbers without a variable.


Isolate the variable using inverse operations.


Combine like terms.

Answers

Answer:

Move all numbers without a variable

Step-by-step explanation:

you want to get the variable by itself so you'll add 6 to both sides of the = sign making it 4u = 30 then you'll divide both sides by 4 making u = 7.5

Find the value of x in each triangle.

Find the value of x in each triangle.

Answers

Answer:

x = 36

Step-by-step explanation:

1. It's important to know that the sum (in degrees) of all angles in a triangle is 180°.

This means that 2x + 2x + x = 180.

2. (Solving)

Step 1: Simplify both sides of the equation.

\((2x+2x+x)=180\) \(5x = 180\)

Step 2: Divide both sides by 5.

\(\frac{5x}{5}=\frac{180}{5}\) \(x = 36\)

Step 3: Check if solution is correct.

\(2(36)+2(36)+36=180\) \(72+72+36=180\) \(180=180\)

Therefore, the answer is 36.

help with plz thank you

help with plz thank you

Answers

Your answer is in the attachment..

Hope the answer helps you..

.

.

Select it as the BRAINLIEST..

help with plz thank you

Answer:

38. skipping by 3s

14, 17, 20, 23, 26, 29, 32, 35, 38

What are the answrrs

What are the answrrs
What are the answrrs
What are the answrrs
What are the answrrs

Answers

For the same quantity of blue, the two highlighted rows demonstrate this. Purple 1 then utilizes more red than Purple 2.

Purple 1 is thus a redder hue of purple than Purple 2.

Purple 2 is a more blue-based purple than Purple 1.

What is the ratio?

The utilization of two or more additional numbers that compares is known as the ratio.

The ratio of red to blue in purple 1 and purple 2 will be 1:2 and 1:3, respectively. The table is given below.

Purple #1              Purple #2

Red: Blue             Red: Blue

  1      2                    1      3

 2      4                   2      6

 3      6                   3      9

For the same quantity of blue, the two highlighted rows demonstrate this. Purple 1 then utilizes more red than Purple 2.

Purple 1 is thus a redder hue of purple than Purple 2.

Purple 2 is a more blue-based purple than Purple 1.

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Can someone help me find the surface area of these cylinders??

Can someone help me find the surface area of these cylinders??

Answers

The surface area for each of the cylinders is given as follows:

13. 126 yd².

14. 490 m².

15. 283 mm².

16. 297 cm².

How to obtain the surface area of a cylinder?

The surface area of a cylinder of radius r and height h is given by the equation presented as follows, which combines the base area with the lateral area:

S = 2πrh + 2πr²

S = 2πr(h + r)

Item 13:

r = 2 yd and h = 8 yd, hence the surface area is given as follows:

S = 2π x 2(2 + 8)

S = 126 yd².

Item 14:

r = 6 m and h = 7 m, hence the surface area is given as follows:

S = 2π x 6(6 + 7)

S = 490 m².

Item 15:

r = 3 mm and h = 12 mm, hence the surface area is given as follows:

S = 2π x 3(3 + 12)

S = 283 mm².

Item 16:

r = 3.5 mm and h = 10 mm, hence the surface area is given as follows:

S = 2π x 3.5(3.5 + 10)

S = 297 cm².

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The value of m compared to the standard is
1/1000
1000
1/100
10

Answers

Idk either but it looks like the reciprocal so I would guess 1/m

Evaluate the following expression.
(-3)0
Answer here

Answers

The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

Evaluating the expression (-3)0

From the question, we have the following parameters that can be used in our computation:

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

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How can I solve this linear equality

How can I solve this linear equality

Answers

Answer:

The intersection is (4, ∞) and the union is (-3, ∞).

Step-by-step explanation:

A triangular pane of glass has a height of 32 inches and an area of 352 square inches. What is the length of the base of the pane?

Answers

The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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Que números multiplicados dan 30 y sumados dan 11

Answers

Answer:

5, 6

Step-by-step explanation:

Answer:

Los números son:

6 y 5

Step-by-step explanation:

Planteamiento:

a * b = 30

a + b = 11

Desarrollo:

De la segunda ecuación del planteamiento:

a = 11-b    

Sustituyendo esta última ecuación en la primer ecuación del planteamiento:

(11-b)*b = 30

11*b + b*-b = 30

11b - b² - 30 = 0

-b² + 11b - 30 = 0

b = {-11±√((11²)-(4*-1*-30))} / (2*-1)

b = {-11±√(121-120)} /-2

b = {-11±√1} / -2

b = {-11±1} / -2

b₁ = {-11-1} / -2 = -12/-2 = 6

b₂ = {-11+1} / -2 = -10/-2 = 5

Comprobación:

6*5 = 30

6+5 = 11

A population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. If the population increases by the same percentage between 2011 and 2012, what will the population be in 2012

Answers

Answer: 1,599,960

Step-by-step explanation:

Since the population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. The percentage increase in population will be:

= (1.2 million - 900000) / 900000 × 100

= 300000/900000 × 100

= 33.33%

Since the population increases by the same percentage between 2011 and 2012, then the population in 2012 will be:

= (100% + 33.33%) × 1.2 million

= 133.33% × 1.2 million

= 1.3333 × 1.2 million

= 1,599,960

The population in 2012 is 1,599,960

How does a recipient not-for-profit entity record the receipt of a gift that will be transferred without restriction to another charitable entity? What if the donor retains the right to revoke or redirect the gift?

Answers

If the gift is transferred without restriction to another charitable entity, the recipient not-for-profit entity should record the receipt of the gift as a contribution in its financial records. The contribution should be recorded at the fair market value of the gift at the time of receipt.

If the donor retains the right to revoke or redirect the gift, the recipient not-for-profit entity should record the receipt of the gift as a liability in its financial records. The liability should be recorded at the fair market value of the gift at the time of receipt.

When a recipient not-for-profit entity receives a gift for transfer to another charitable entity, it records it as revenue upon receipt.

If the donor retains the right to revoke or redirect the gift, it's recognized as a "Contribution Receivable" liability until the restrictions lapse or are fulfilled. Consult accountants for proper accounting.

When a recipient not-for-profit entity receives a gift that will be transferred without restriction to another charitable entity,

The accounting treatment typically involves two steps:

Recognition on Receipt:

The recipient not-for-profit entity should recognize the gift as revenue or contribution in its financial records upon receipt.

This is because the organization has legal control and possession of the gift, even if it intends to transfer it to another charitable entity.

The accounting entry will depend on the nature of the gift received ( cash, securities, in-kind donation).

Classification as a "Contribution to be Transferred":

The second step involves classifying the received gift as a "Contribution to be Transferred" on the recipient's balance sheet.

This classification reflects that the entity intends to pass the gift along to another charitable entity

and that the funds are not restricted for use within the recipient organization.

If the donor retains the right to revoke or redirect the gift,

The recipient not-for-profit entity should follow the guidelines for recognizing contributions subject to donor restrictions.

Until the restrictions lapse or are fulfilled, the contribution should be recorded as a liability ( "Contribution Receivable").

Accounting for contributions with donor-imposed restrictions can be complex,

and the specific treatment will depend on the terms of the gift and applicable accounting standards.

It's essential for the not-for-profit organization to consult with its accountants

or financial advisors to ensure compliance with relevant accounting principles and reporting requirements.

Also, it's important to note that accounting standards and regulations may vary across different countries or regions,

so organizations should adhere to the accounting principles applicable in their specific jurisdiction.

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$600 7) Nika puts 42 beads in each necklace. Which is the best way to use rounding numbers to estimate the number of beads Nika needs for 2 necklaces? 25 x 45 O 30 x 30 O 20 x 40 O 30 x 40​

Answers

Answer:

20 X 40 = 800 (split into 2 fourths) = 40

Step-by-step explanation

20 x 40 = 800;

For 2 necklaces she can split 800 into fourths.

800 - 40 = 80. (1 fourth)

80 - 40 = 40 (2 fourths)

40 - 40 = 0 (3 fourths)

She could split 800 into 2 fourths to get a number more than 0 and less then 42.

The best estimate of rounding 42 is 40. Because 40 is closer to 42.

The printed price of a DVD player is $ 31. If the sales tax is 8% , find the price at which the DVD player is sold?

Answers

Answer:

$33.48

Step-by-step explanation:

A dog is starting a diet to get in better shape. The
dog starts at 89.5 pounds and loses 0.5 pounds
each week for a certain number of weeks. Halfway
through the diet, the dog weighs 80 pounds. How
many weeks has the dog been dieting for?​

Answers

Answer:

18.5 days

Step-by-step explanation:

Count by two's on your fingers until you have nine fingers up, and that equals 9 x 2 = 18, plus that .5 eqauls 18.5 days.

The dog has been dieting for 19 weeks.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given problem,

Starting weight of the dog = 89.5 pounds

Halfway weight of the dog = 80 pounds

Weight the dog loses per week = 0.5 pounds

Weight loss = (89.5 - 80) pounds

                    = 9.5 pounds

If the dog loses 0.5 pounds in 1 week,

Then the dog will lose 9.5 pounds in (9.5 × 2) weeks

⇒ The dog will lose 9.5 pounds in 19 weeks.

Hence, we can conclude that the dog has week dieting for 19 weeks and lost 9.5 pounds.

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Write in standard form Six hundred eight thousandths

Answers

Six hundred eight thousandths in slandered form is 0.086

Answer:

0.608

Step-by-step explanation:

Standard form is it in number and if you look closely it says thousandths which is 3 spaces after thedecimal point

Which value is equivalent to the expression 8 times 8 minus 4 to the 2nd power times (3 times 3) plus 60 is?

A. negative 20
B. 313
C. 28
D.492

Answers

The equivalent expressions is 492. Option D

What are index forms?

Index forms are defined as numbers with exponents or powers.

Other names for index forms are standard forms or scientific notation.

They are methods of writing numbers that are too large or small in more convenient forms.

From the information given, we have that;

8 × (8-4)² × (3 × 3) + 60

expand the bracket

8 × 8 - 4² × 9 + 60

expand the bracket

( 64 - 16)9 + 60

multiply the values

432 + 60

Add the values

492

Hence, the value is 492

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Find the value of y.

Find the value of y.

Answers

The value of y is 4√3

What are similar triangles?

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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I need help!!!!please someone tell me the answer!!!!

I need help!!!!please someone tell me the answer!!!!

Answers

Answer:

c: v=5000(1.35)

Step-by-step explanation:

3.5 interest in point-slope decimal form is 1.35.

v=5000(1.35) is final answer

A conjecture and the flowchart proof used to prove the conjecture are shown.

Given: AB¯¯¯¯¯∥XC−→−

Prove: m∠1+m∠2+m∠3=180°



A triangle with vertices labeled as A B and C. The interior angle C A B is labeled as 2, angle A C B is labeled as 1, and angle C B A is labeled as 3. Line X passes through upper vertex C and forms three angles. The interior angles are labeled as angle 4 and angle 5.



Drag and drop a statement to each box to complete the proof.

A conjecture and the flowchart proof used to prove the conjecture are shown.Given: ABXCProve: m1+m2+m3=180A
A conjecture and the flowchart proof used to prove the conjecture are shown.Given: ABXCProve: m1+m2+m3=180A

Answers

Answer:

1.)Angle Addition Postulate

2.)Alternate interior Angle Theorem

3.)m/_1+m/_2+m/_

Step-by-step explanation:

I took the test

The data below shows the money Paritosh spends on a weekend. What will be the central angles of each of these categories?with the numbers 40 100 50 50

Answers

The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:

Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.

Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).

Central angle for the first category: (40/240) * 360 = 60 degrees.

Central angle for the second category: (100/240) * 360 = 150 degrees.

Central angle for the third category: (50/240) * 360 = 75 degrees.

Central angle for the fourth category: (50/240) * 360 = 75 degrees.

The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.

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11. Do you think consistent increase in a country's imports has a favourable impact on its production and employment? WHY? Imagine that you gets an email one morning . It appears to be from your bank . The email warns that someone broke ( 1) .......... your account . It says that you need to (2 )....... in to check some things . You click the link in the email . It takes you to a site that looks very much like your bank's . You enter your username and (3 ).............You submit the form . You've just been phished ! Phishing is a type of attack that happens over the Internet . Users receive an email or text message that seems like it came from a (4)............. source. These users are being (5 )............ They are interacting with dangerous hackers . The attackers copy trusted companies . They send users to web pages that look like the ones we use everyday . When users login or provide sensitive information , the attackers steal this data .1- into with for 2- signed signing sign 3- crossword password passroad4- trusted trust trusting 5- deceiving deceive deceived The investee company in a long-term investment with controlling interest is called the: How will you define boundaries in life? And why do we need to have personal boundaries in life? (need answer ASAP! Essay form pls) I am so sorry if you keep seeing me ask for help Which best describes how the government tried to prevent the New York Times from publishing articles on the Vietnam War? kaitlannalniii avatarkaitlannalniii07/19/2016MathematicsHigh Schoolanswered expert verifiedWhich best describes why the government tried to prevent the new york times from publishing articles on the vietnam war? Explain why non ionic compounds are soluble in water ? For the science fair Carol wanted to see how many minutes of videos she watched were ads. She watched6 videos with each video lasting 9 minutes. After watching the videos she calculated that she had watched 3 minutes ofads over all the videos. How many minutes were not ads? Eating a meal three hours prior to a sporting event can harm performance.A. TrueB. False Write a program that keeps asking the user for new values to be added to a list until the user enters 'exit' ('exit' should NOT be added to the list). These values entered by the user are added to a list we call 'initial_list'. Then write a function that takes this initial_list as input and returns another list with 3 copies of every value in the initial_list. Finally, inside main(), print out all of the values in the new list. Alpha Company had the following account balances for 2021: Accounts receivable $ 44,000 $ 35,000 Accounts payable 55,000 60,000 Alpha reported net income of $210,000 for 2021. Assuming no other changes in current account balances, what is the amount of net cash provided by operating activities for 2021 reported in the statement of cash flows A reader can best combine the information in theexcerpts tounderstand that managing the moon landing whilethe lunar module had 30 seconds left of fuel requiredintense concentration.O understand that having only 30 seconds of fuelcould easily have become a disaster whileArmstrong was landing the lunar module.o understand that Armstrong radioed mission controlwhen the lunar module landed on the moon at 4:18p.m. EDT.O understand that it was impossible for the lunarmodule to land on the moon with only 30 secondsleft of fuel. nora's company is considering going into a foreign market. they have determined which markets to go into and the timing for going into them. what other basic entry decision do they need to make? Question 2(Multiple Choice Worth 5 points)(04.01 MC)Read the following expository prompt option. Answer the question that follows.Write a multi-paragraph expository essay for an academic audience about the factors that contribute to people surviving extreme situations. Your expository essay must be based on this prompt and topic, and it must incorporate ideas and information found in the sources provided. Use your best writing to complete an essay that:is focused on your central ideacombines evidence from multiple sources with your own elaboration to develop your ideasis organized and includes transitions within and among ideasprovides citations for quoted material and source ideasdemonstrates correct use of grammar and language appropriate to the taskWhich of the following statements best paraphrases what the student should accomplish in their writing? I will write to describe a situation in which I was scared and had to use my survival instincts. I will use only personal experiences in my writing. I will write to convince the audience to take a survival skills class. I may incorporate my own opinions about the topic. I will write to explain the characteristics of people who are able to survive terrible situations. I will synthesize evidence from the sources given to support a central idea. I will write to tell a fictional story about a natural disaster and a character who survived with superhuman skills. I do not need to worry about logic if my story is good. Fill in the coefficients for the polynomial with degree 3, roots: x = 2, X =-1, and x = 3, and with a leading coefficient of 1 Where is the mistake? Pleaseee I'll give 50 points! A ________ provides strong access control, including authentication of suitable strength, authorizations, and auditing. A ________ provides strong access control, including authentication of suitable strength, authorizations, and auditing. registry setting RAID 1 CDP vault server ___allows adapted organisms to survive and pass traits along to offspring.aEvolutionbArtificial selectioncExtinctiondNatural selection IM 7.1.10 Cool DownThe grey box is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.Create another scale drawing of the window frame that uses a scale of 1 cm to 12 inches(You may draw on or over the original frame if needed.)x ClearUndoRedo+ the rule that doing or promising to do what one is already legally bound to do is not consideration applies to a part payment made in satisfaction of a(n) debt.