linear equation 7(v+4)-4v=7

Answers

Answer 1

Answer: v= -7

Step-by-step explanation:

Linear Equation 7(v+4)-4v=7
Answer 2
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄Required Solution :

⇒7(v + 4) - 4v = 7

⇒7v + 28 - 4v = 7

⇒7v - 4v = 7 - 28

⇒3v = - 21

⇒ v = - 21/3

v = - 7

Procedure : As in Question, It was given 7(v - 4) - 4v = 7.. Now first we'll multiply 7 × v & 7 × 4 which in result will be 7v & 28 with addition sign in mid, Equal to 7..

Now, After multiplying terms your second step, will be to combine common terms.. transposing L.H.S to R.H.S & Vice Versa. Remember! Same variables & Same Constant terms can only operated.

After Transposing, according to the variables, your equation will be like.. (7v - 4v = 7 - 28).

Now, You can easily calculate the values but didn't you noticed one thing, that when we transposed 28 to R.H.S.. positive 28 became Negative... i.e. (-28).. Rememember (-) when transposed to any side becomes (+) with the constant & Variable same thing happens with (+), It become (-) after transposing.

Now, After operating.. Again, You need need to transpose constant term 3.. with (v) variable to be leaved in L.H.S.. Remember! The number which are greater that sign exist & Operating is also done... i.e., (7 - 28) in third step became 21 for sure.. Because after substracting 28 by 7 we get 21.. But sign we'll add is (-)... As, 28 is greater then 7 & the sign which is just before 28 is.. (-)...!!

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Related Questions

Suppose you had a tree with 14 vertices, A, B, . . . , N. You wrote down the pre and post orderings for the vertices:
Preorder: A, B, D, E, H, L, M, I, F, C, G, J, K, N
Postorder:D, L, M, H, I, E, F, B, J, N, K, G, C, A
Then you lost your graph. Can you reconstruct the tree? If so, do.

Answers

Yes, you can reconstruct the 14 vertices tree , A, B, . . . , N using the given pre-order and post-order traversals.

Here is a step-by-step explanation of how to do it:

Start with the first vertex in the pre-order list (A). This vertex will be the root of the tree.
Find the position of A in the post-order list. All the vertices before A in the post-order list will be in the left subtree, and all the vertices after A will be in the right subtree.
Repeat the process for the left subtree and right subtree separately, using the same approach of finding the root (the first vertex in the pre-order list for that subtree) and splitting the post-order list into left and right subtrees accordingly.
Following these steps, you will reconstruct the tree as follows:
Root: A
Pre-order left subtree: B, D, E, H, L, M, I, F
  Post-order left subtree: D, L, M, H, I, E, F, B
Pre-order right subtree: C, G, J, K, N
  Post-order right subtree: J, N, K, G, C
Repeating the process for the left subtree:
  Root: B
  Pre-order left subtree: D, E, H, L, M, I
  Post-order left subtree: D, L, M, H, I, E
  Pre-order right subtree: F
  Post-order right subtree: F
Repeating the process for the right subtree:
  Root: C
  Pre-order left subtree: G, J, K, N
  Post-order left subtree: J, N, K, G
  Pre-order right subtree: None
  Post-order right subtree: None
Continuing this process for each subtree, you will reconstruct the original tree.

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What is the percent of change for the equation y = (0.85)^x?

Answers

Answer:

Convert the problem to an equation using the percentage formula: Y/X = P%

X is 60, Y is 12, so the equation is 12/60 = P%

Do the math: 12/60 = 0.20.

Important! ...

Converting 0.20 to a percent: 0.20 * 100 = 20%

So 20% of 60 is 12.

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

0.85 as a percentage is simply 85/100, or 85%.

-hope it helps

Find the possible values of k if one of the roots of the quadratic equation x^2 - kx + 8 = 0 is twice the other.​

Answers

Answer:

\(k=\pm 6\)

Step-by-step explanation:

The given quadratic equation is :

\(x^2 - kx + 8 = 0\)

One of the roots of this equation is twice that of the other. Let the roots are \(\alpha \ and\ \beta\), \(\alpha =2\beta\)

Sum of roots, \(\alpha +\beta =\dfrac{-b}{a}\)

\(\alpha +\beta =\dfrac{-(-k)}{1}\\\\\alpha +\beta =k\\\\3\beta =k\ .......(1)\)

Product of roots,

\(\alpha \beta =\dfrac{c}{a}\\\\2\beta ^2=\dfrac{8}{1}\\\\\beta =\pm 2\)

If \(\beta =\pm2\),

\(k=3(2)\\\\=\pm 6\)

So, the value of k is equal to \(\pm 6\).

Which of the symbols correctly relates the two numbers below? Check all that
apply.
13 ? 13

Which of the symbols correctly relates the two numbers below? Check all thatapply. 13 ? 13

Answers

The equality sign between the two values shows that the two numbers are equal to one another and the answer to this is option C.

What are equality and inequality signs?

Equality and inequality signs are mathematical symbols used to express relationships between numbers or expressions. They are commonly used in equations and mathematical statements.

1. Equality Sign (=): The equality sign, represented by "=", is used to indicate that two quantities or expressions are equal.

2. Inequality Signs: Inequality signs are used to indicate relationships of inequality between numbers or expressions.

a. Greater Than (>): The greater than sign is used to express that one quantity or expression is greater than another. For example, in the inequality "7 > 3," it states that 7 is greater than 3.

b. Less Than (<): The less than sign is used to express that one quantity or expression is less than another. For example, in the inequality "2 < 6," it states that 2 is less than 6.

c. Greater Than or Equal To (≥): The greater than or equal to sign is used to indicate that one quantity or expression is greater than or equal to another. For example, in the inequality "4 ≥ 3," it states that 4 is greater than or equal to 3.

d.  Less Than or Equal To (≤): The less than or equal to sign is used to indicate that one quantity or expression is less than or equal to another. For example, in the inequality "2 ≤ 5," it states that 2 is less than or equal to 5.

These inequality signs allow for the comparison of values and the establishment of relationships between them.

In the given quetsion;

13 = 13

This is an equality sign to denote that both values are equal to one another.

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what is the volume of a cone that is 10cm height and 2cm for its radius

Answers

I think it’s 62.85714285714286
Dont really know how to simplify it maybe you can round it off though I don’t know how

Am not sure though

Answer:

41.90476190476

Step-by-step explanation:

since volume of cone is one third multiplied by pi and radius square(r²) multiplied by height

For Beatrix's latest art installation,
she has fixed a 2 x 2 square sheet of steel to a wall.
She has two 1 x 2 magnetic tiles, both which she
attaches to the steel sheet, in any orientation, so
that none of the sheet is visible and the line
separating the two tiles cannot be seen. As shown
alongside, one tile has one black cell and one grey
cell; the other tile has one black cell and one spotted
cell.
How many different looking 2 x 2 installations can
Beatrix obtain?​

Answers

Answer:

4

Step-by-step explanation:

there are 2 combinations given already, and a 1 x 2 tile is half of the steel square, so  you could also have black+black and grey+spots so add all combinations together and you get 4 combos!

: )

Given the figure below, find the values of x and z. Answer with explanation for brainliest.

Given the figure below, find the values of x and z. Answer with explanation for brainliest.

Answers

Answer:

If I read this correctly

2 Z + 2 * (14 x - 8) = 360 deg

Z = 118   from the diagram      the angle must be the same

2 (14 x - 8) = 360 - 236 = 124

14x  - 8 = 62

x = 70 / 14 = 5 deg

Answer:

Solution given:

z=118°[vertically opposite angle are equal]

again

14x-8+118°=180°[linear pair's angle is supplementary]

14x=180-110°

x=70/14

x=5°

x=5°z=118°

question in the image

question in the image

Answers

36 as base x height so 12 x 3

Answer:

A=36ft²

HOPE IT HELP YOU

what part of the coordinate plane is equidistant from the points a(-3 2) and b(3 2)

Answers

The part of the coordinate plane that is equidistant from the points A(-3, 2) and B(3, 2) is the horizontal line with a y-coordinate of 2.

The points A(-3, 2) and B(3, 2) have the same y-coordinate, which means they lie on a horizontal line. The midpoint of the line segment AB will also lie on this line.

To find the midpoint, we can average the x-coordinates and the y-coordinates of the two points.

The x-coordinate of the midpoint is (-3 + 3) / 2 = 0 / 2 = 0.

The y-coordinate of the midpoint is (2 + 2) / 2 = 4 / 2 = 2.

Therefore, the midpoint of AB is (0, 2).

Since the midpoint lies on the same horizontal line as the points A and B, any point on this line will be equidistant from A and B. This line is parallel to the x-axis and has a y-coordinate of 2.


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10
2 of 10
Find the area of a circle with radius,
r
= 5.59m.
Give your answer rounded to 2 DP.

Answers

Answer:

area = 98.12 m²

Step-by-step explanation:

area = πr² = (3.14)(5.59²) = 98.12 m²

B. complete the proportion to compare the first two triangles.
c. cross-multiply the ratios in part b to get a simplified question.
d. complete the proportion to compare the first and third angles.
e. cross multiply the ratios in part d to get a simplified equation.

Answers

b. The proportion to compare the first two triangles is, b/c = a/b.

c. The simplified answer is c = a.

d. The proportion to compare the first and third triangles is, c/a = b/c

e. the simplified answer is c^2 = b * (b + c).

The first two triangles are BCD and ACD. The ratio of their corresponding sides is:

BC/AC = a/b

Cross-multiplying the above proportion, we get:

BC * b = a * AC

Simplifying the equation,

bc = ab

Dividing both sides by b,

c = a

Therefore, the simplified answer is c = a.

The first and third triangles are ABC and ACD. The ratio of their corresponding sides is:

AC/AB = b/c

Cross-multiplying the above proportion, we get:

AC * c = b * AB

Simplifying the equation, we get:

c^2 = b * (b + c)

Therefore, the simplified answer is c^2 = b * (b + c).

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--The complete question is, b. Complete the proportion to compare the first two triangles. b/c = ?/?

c. Cross multiply ratios in part b to get simplified answer.

d. Complete the proportion to compare the first and third triangles. c/a = ?/?
e. cross multiply the ratios in part d to get a simplified equation.--

B. complete the proportion to compare the first two triangles. c. cross-multiply the ratios in part b

A book sold 38,300 copies in its first month of release. Suppose this represents 6.3% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.

Answers

Answer:

35,887.1 because 38300×93.7 ➗ 100

even though emilio writes neatly and legibly, it takes him a very long time to write a few sentences. which strategy may help emilio to write more fluently?

Answers

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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A pendulum is swinging next to a wall. The distance D(t)D(t)D, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) between the bob of the pendulum and the wall as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\sin(b\cdot t)+da⋅sin(b⋅t)+da, dot, sine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when the pendulum is exactly in the middle of its swing, the bob is 5\text{ cm}5 cm5, start text, space, c, m, end text away from the wall. The bob reaches the closest point to the wall, which is 3\text{ cm}3 cm3, start text, space, c, m, end text from the wall, 111 second later. Find D(t)D(t)D, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.

Answers

Answer:

D(t)=-2sin(pi/2 t)+5

Step-by-step explanation:

i did it on Khan academy

Answer:

-2sin(pi/2 t)+5

Step-by-step explanation:

ALso did on Khan Academy (its on the sinisoidal equations excercise)

A chef plans to mix 100 % vinegar with Italian dressing. The Italian dressing contains 13 percent vinegar. The chef wants to make 150 millimeters of a mixture that contains 42 percent vinegar. How much vinegar and how much Italian dressing should she use

Answers

Solution:

Let v = ml of 100% vinegar

Then 150-v = ml of dressing

thus, we have:

v + 0.13(150-v) = 0.42(150)

this is equivalent to:

v + 19.5 - 0.13 v = 63

this is equivalent to:

v - 0.13 v = 63 - 19.5

this is equivalent to:

0.87 v = 43.5

solving for v , we obtain:

i roll five fair dice. i tell you at least two dice landed on 4, 5, or 6. what is the probability that there are exactly 4 dice that landed on a 4, 5, or 6

Answers

Using binomial probability, the probability of having exactly 4 dice on 4, 5 or 6 is 5/32.

What is the probability that there are exactly 4 dice that landed on a 4, 5, or 6?

Using binomial probability, we can calculate the probability that out of the 5 dice thrown, the probability of having exactly 4 dice on 4, 5 or 6 can be calculated as;

\(P(X=k) = C(n, k) * p^k * (1-p)^(^n^-^k^)\)

In the given data;

n = 5

k = 4

p = 3/6 = 1/2

Using the binomial probability formula, we can calculate:

P(X=4) = C(5, 4) * (1/2)⁴ * (1 - 1/2)⁵⁻⁴

P(X=4) = 5 * (1/2)⁴ * (1/2)¹

P(X=4) = 5 * (1/16) * (1/2)

P(X=4) = 5/32

Therefore, the probability that exactly 4 dice land on a 4, 5, or 6 when rolling five fair dice is 5/32.

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what is a 60% out of 100

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

60% of 100 is 60

▹ Step-by-Step Explanation

60% of 100:

- You can write this as a fraction or decimal. In this case, both of them will work just fine but we can go with fractions.

60% is written as 6/10 as a fraction or 0.6 as a decimal.

\(\frac{6}{10} * 100\\ =\frac{600}{10} \\= 60\)

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

60%out of 100 is 40%

Step-by-step explanation:

100-60

Jasmine has 5 books that she wants to read she wants to read the nonfiction book first and the mystery book last in how many different orders can she read the books

Answers

Answer:

Step-by-step explanation:

Jasmine has 5 books that she wants to read. She wants to read the nonfiction book first and the mystery book last. Therefore, there are 3 remaining books that can be read in any order.The nonfiction book can be chosen in 1 way, and the mystery book can be chosen in 1 way. The remaining 3 books can be arranged in 3! (or 6) ways.Therefore, the total number of different orders in which Jasmine can read the books is:1 × 3! × 1 = 6 × 1 = 6So, there are 6 different orders in which Jasmine can read the books.

can someone do b and c? or just one

can someone do b and c? or just one

Answers

b) 4(x+2) + 8(x-1)

first we distribute the 4

4x+ 8 + 8(x-1)

now we distribute the 8

4x+8 + 8x-8

now we combine the 4x and the 8x because they have the same variable so they are like terms

12x +8-8

the 8 cancels out so

b) 12x

now c)

3(w-5) - 6(w+2)

distribute 3

3w-15 - 6(w+2)

now distribute -6

3w-15 -6w -12

combine 3w and -6w because they are like terms

-3w -15-12

now combine -15 and -12

answer to c: -3w-27

help please ASAP super hard

help please ASAP super hard

Answers

Answer:

B.

Step-by-step explanation:

help please ASAP super hard

convert from rectangular to polar coordinates. (a) (0,1) (give your answer in the form (*,*). express numbers in exact form. use symbolic notation and fractions where needed.)

Answers

To convert the point (0, 1) from rectangular coordinates to polar coordinates, we need to express the point in the form (r, θ), where r represents the distance from the origin and θ represents the angle from the positive x-axis.

In rectangular coordinates, the given point is (0, 1), which lies on the positive y-axis. To convert this point to polar coordinates, we need to find the corresponding values of r and θ.
The distance from the origin to the point (0, 1) is 1, which represents the value of r in polar coordinates.Since the point lies on the positive y-axis, the angle from the positive x-axis to the line connecting the origin and the point is 90 degrees or π/2 radians. Therefore, θ = π/2.
Thus, the polar coordinates of the point (0, 1) are (1, π/2).

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Determine the solution to the equation. 8+4x=2x+8+2x A Infinite B One Solution C No Solution

Answers

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

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What is the first step made in copying the length of a line segment AB onto another line from the lesson? O Without changing the setting of the compass, place the compass point on one endpoint of the new line segment and swing it so that it intersects the second segment. O Using your straightedge, construct a segment that is longer than the given segment. O Use the compass to measure the length of the segment. O Find a line segment or create a line segment by using your straightedge.

Answers

The first step is to draw a line longer than the given AB line.

What is line segment?

An area or portion of a line with two endpoints is referred to as a line segment. A line segment, in contrast to a line, has a known length. A line segment's length can be calculated using either metric measurements like millimeters or centimeters, or conventional measurements like feet or inches.

What is the difference between line and line segment?

A line can be extended on both ends forever while a line segment has endpoints.

Step 1: You are instructed to copy line segment AB.

Step 2: A line segment that is longer than line segment AB is drawn in step two. Identify C as one of its endpoints.

Step 3: Position the anchor on one endpoint of line segment AB and the pencil point on the other endpoint of the segment by opening your compass.

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find y when x = 10 if y =8 when x = 20

Answers

Answer:

ANS:- Y =4

Step-by-step explanation:

x =20 half x =10

y = 8 half y = 4

what pattern can you use to factor the expression x^3-25

what pattern can you use to factor the expression x^3-25

Answers

\(x^3-25\)

We can't use any of the pattern

Differentiate. F(y) = 1/ y^2 − 9 /y^4 (y + 5y^3)

Answers

To differentiate F(y) = 1/ y^2 − 9 /y^4 (y + 5y^3), we need to use the quotient rule of differentiation. Your answer: F'(y) = -2y^(-3) - (12y^(-5) + 60y^(-2))(y + 5y^3)

The quotient rule states that the derivative of a quotient of functions is equal to the numerator's derivative multiplied by the denominator minus the denominator's derivative multiplied by the numerator, all divided by the denominator squared.

Using this rule, we can find the derivative of F(y) as follows:

F'(y) = [(d/dy) (1/ y^2) * (y^4(y + 5y^3)) - (d/dy) (y^4(y + 5y^3)) * (1/ y^2)] / (y^4(y + 5y^3))^2

Simplifying this expression, we get:

F'(y) = [(-2y^3(y + 5y^3))/(y^4(y + 5y^3))^2 - (y^4(1 + 15y^2))/(y^2(y^4(y + 5y^3))^2)]

= [(-2y^3(y + 5y^3)) - (y^4(1 + 15y^2))] / (y^6(y + 5y^3))^2

= (-2y^4 - 10y^6 - y^4 - 15y^6) / (y^6(y + 5y^3))^2

= (-3y^4 - 25y^6) / (y^6(y + 5y^3))^2

Therefore, the derivative of F(y) is F'(y) = (-3y^4 - 25y^6) / (y^6(y + 5y^3))^2.
To differentiate the function F(y) = 1/y^2 - 9/y^4 (y + 5y^3), you can apply the power rule and the chain rule.

Your answer: F'(y) = -2y^(-3) - (12y^(-5) + 60y^(-2))(y + 5y^3)

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Graph the inequality y<4

Answers

Hi there!

Hope this helps!

y could be anything so I made it less than 4.

Graph the inequality y&lt;4

Tim wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 5 3 4 m by 3 1 2 m. Find the area the grass seed needs to cover. Solve on paper. Then check your work on Zearn

Answers

The area of the grass seed needs to cover is 38.625 m².

What is the area of the rectangle?

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

Here, we have

Given: Tim wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 5 3/4 m by 3 1/2 m.

We have to find the area the grass seed needs to cover.

Let the area of the grass seed needs to cover be A

Now , the area of the lawn L = ( 11 3/4 ) x 5 m²

The area of the lawn L = 58.75 m²

where the length of the pool l= ( 5 3/4 ) m = 5.75 m

The width of the pool is w = ( 3 1/2 ) m = 3.5 m

Now, Area of Rectangle = Length x Width

On simplifying, we get

Area of the pool P = 5.75 x 3.5 = 20.125m²

Now, the area of the grass seed needs to cover A = L - P

The area of the grass seed needs to cover A = 58.75 m² - 20.125 m²

The area of the grass seed needs to cover A = 38.625 m²

Hence, the area of the grass seed needs to cover is 38.625 m².

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I have no idea what's going on here! But i'll act like it!(´ ꒳` )

I have no idea what's going on here! But i'll act like it!( ` )

Answers

Answer:

Option B is your answer ☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

I have no idea what's going on here! But i'll act like it!( ` )

Suppose the annual amount of snowfall (in megatons) accumulated in a lake follows a gamma distribution with 10 and B= 2. Find the mean annual amount of snowfall accumulated in this lake (the answer is an integer)

Answers

To find the mean annual amount of snowfall accumulated in the lake, we need to use the information given: the gamma distribution has a shape parameter (α) of 10 and a scale parameter (β) of 2.

The mean of a gamma distribution can be calculated using the formula:

Mean = α * β

In this case, α = 10 and β = 2. Plugging these values into the formula:

Mean = 10 * 2 = 20

So, the mean annual amount of snowfall accumulated in the lake is 20 megatons.

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capital budgeting decisions usually involve large investments and often have a significant impact on a company's future profitability. Pleaseanswer to this? I need help getting the answer for this one. Thank you 2d + 1 = 9so d = what According to the county election, who participated in elections in the mid nineteenth century?. whats this need helpasap ! A company is selling a additional issue of common stock. In this situation, all of the following persons are insiders EXCEPTA) The lead underwriterB) A shareholder who currently owns 13% of the outstanding common stock of the company.C) The chief financial officer of the companyD) The Chief Marketing Officer of the company x is less than or equal to 8, y is more than -3. Graph the solution of the system of linear inequalities. (and fill in) Write an equation to match the verbal statement.one-half is equal to the product of a number, c, and eight Which design for newer prisons includes small housing units and corridors that surround an open area The first 3 common denominators of 1/12and 1/4 are Determine the Cartesian form of the plane whose equation in vector form is : (2,2,5) + s(2,3, 1) + t(1,4,2) s,t s,te R. What is the r value of the following data, to three decimal places?xy42312105891392 Why road transportation is safer than air transportation The radius of a circle is 3 millimeters. What is the circle's circumference? Where is the best place to put money to earn interest? an infant is choking on a piece of candy. You are unable to see chest rise after numerous attempts to ventilate. You should?A. Apply an AEDB. Insert an OPA and reattemptC. Administer chest compressionsD. Perform abdominal thrust what tool of l.b. jefferies' trade in rear window saves him from harm once he is discovered by his potentially murderous neighbor? group of answer choices the sharp edge of a camera lens his dark room chemicals his camera flashbulb lisa and her quick thinking According to De Sade, why must people indulge in the pleasures of the senses (especially sexual pleasures)? 1. Because these pleasures are designed by God to ensure human happiness. 2. Because these pleasures are designed by Nature to bring humans some happiness amid a universe of pain and suffering. 3. Because these pleasures ultimately lead to philosophical and intellectual enlightenment. A large storage location that can hold vast quantities of data (mostly unstructured) in its native/raw format for future/potential analytics consumption is referred to as a(n):data cloudrelational databasedata lakedata lake