Let f(x) be the quadratic parent function If d(x) = f(x) - 6, What is the equation of d(x) in terms of X? 3 5 Sketch the graph of d(x)

The mass of the CO2 produced IS 630 Kg

Gasoline is a kind of fuel that is composed mostly of isooctane. In most engines, gasoline is widely used hence the demand for the product is high. We know that the combustion of an alkane (of which gasoline is one) would produce carbon dioxide and water according to a balanced reaction equation.

The balanced reaction equation for the combustion of gasoline is shown in the image attached to this answer.

Since  a Puerto Rico hospital uses 3 gallons of gasoline per hour, and there are 24 hours in a day, it the follows that 72 gallons of gasoline are used per day. This 72 gallons is the equivalent of 272.88 L

Now;

Given that the density of gasoline = 748.9 g/L

Mass of gasoline = 748.9 g/L * 272.88 L = 204 Kg

Number of moles of gasoline =  204 * 10^3/114 g/mol = 1789.5 moles

If 2 moles of gasoline produces 16 moles of CO2

1789.5 moles produces  1789.5 moles * 16 moles/2 moles = 14316 moles

Mass of CO2 =  14316 moles * 44 g/mol = 630 Kg

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The completely factored form for the given algebraic expression is f(x) = (x-3)(x+1+i)(x+1-i).

A completely factored polynomial is a polynomial that can no longer be further simplified. A completely factored polynomial can be expressed as a root of its own equation.

Given that:

f(x) = x³ - x² - 4x - 6

To express this as a factored polynomial using the rational:

f(x) = (x-3)(x²+2x+2)

f(x) = (x-3)(x+1+i)(x+1-i)

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Answer:

See below

Step-by-step explanation:

\(2(4x + 1) = 4(2x + 5)\)

\(8x + 2 =8x + 20\)

\(\nexists x \in \mathbb{R} \text{ That makes the equality true}\)

The equation has no solution because no matter what the value we plug for \(x\) in the equation, it will not be true and will lead to a contradiction. This is the meaning of not having a solution.

The true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.

It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.

To get to the current positioning, a rotation might not be sufficient.

It could be required to include a fictitious translation known as the object's location (or position, or linear position).

Together, the position and orientation completely explain where the object is situated in space.

Therefore, the true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

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Answer:

DX wonder if if you want to come over and watch the way to the way to the way to the way to the way to the way to work I you you you can send me the way to the way to the way to the way to the way to the way home now I will be more than enough for me for all of us her

The probability statements after continuity correction are given as follows:

Continuity correction is used as a "correction" when a continuous distribution is used to approximate a discrete distribution. One example of this is the approximation of the binomial distribution to the normal distribution.

Hence, using continuity correction, the range of values that corresponds to a number of exactly x is given as follows:

x - 0.5 < x < x + 0.5.

Thus the range of values of 118 is given as follows:

117.5 < x < 118.5.

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Step-by-step explanation:

The formula for the surface area of a rectangular prism is SA = 2(lw) + 2(wh) + 2(lh), where l is the length, w is the width, and h is the height.

Given:

l = 2.8 yards

w = 1.19 yards

h = 6 yards

Plugging in the values:

SA = 2(2.8 * 1.19) + 2(1.19 * 6) + 2(2.8 * 6)

Simplifying and converting units to square yards:

SA = 2(3.32) + 2(7.14) + 2(16.8)

SA = 6.64 + 14.28 + 33.6

SA = 54.52 square yards.

The surface area of the rectangular prism is 54.52 square yards.

The stem and plot key for 447 is 44 | 7.

A stem-and-leaf plot is a concept used for presenting quantitative data in a graphical format. This assists in visualizing the shape of a distribution.

In a stem and leaf plot, each data value is broken into a stem and a leaf. A table is made where each first digit or digit of data value is split into a stem and the last digit of data in a leaf. " | " is the symbol used to depict stem and leaf values and it is known as the stem and leaf plot key.

For example, 57 can be represented as 5 on the stem and 7 on the leaf and shown using stem and leaf plot key like this 5 I 7.

Here, we are given that the leaf for a data entry of 447 is 7. Thus the stem will be 44.

The key will hence become 44 | 7

Thus, the stem and plot key for 447 is 44 | 7.

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The leaf for a data entry of 447 is 7. What is the stem and plot key for the entry?

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Answer:

I am sorry if I'm wrong, but I got 600 or 36000/60

Step-by-step explanation:

First I looked for the least common denominator,(LCM) it was 60. Then I multiplied the numerator by the number that was multiplied by the denominator to find the new numerator for each fraction.(Example: The denominator was 60, so I looked for what 60 divided by four was, because that was the denominator. It ended up being 15. now I multiplied the numerator, which was 1 by 15 to create the new numerator. Then I did that with the other two fractions.) After all the fractions have the same denominator, you can multiply them. To multiply fractions you multiply all the numerators together and leave the denominator the same. Then I just simplified it. From 36000/60 to 600. Hope this helped :)

Answer:

4/6

Step-by-step explanation:

A die can roll out six numbers from 1 to 6.

Prime numbers from 1 to 6 are: 1,2,3,5

4 out of 6 are prime

Answer:

m = 5

Step-by-step explanation:

A quadratic function is in the form \(ax^{2} +bx+c\).

To factor an equation, you are looking for two numbers that multiply to c (are factors of c), and add to b. In this case, c = -15, and b = 2.

The factors of -15 include 1, 3, 5, 15, -1, -3, -5, and -15.

After looking through the possible combinations, we can come to the conclusion that the only factors that multiply to -15 and add to 2 are 5 and -3, as 5 x -3 = -15, and 5 + -3 = 2.

You can now plug these numbers into the factored form (x + factor1)(x + factor2).

This then becomes (x + -3)(x + 5) or (x - 3)(x + 5).

Therefore, m = 5.

Answer:

14 / 12 miles or 1 1/6 miles

Step-by-step explanation:

A group of campers walked 4 2/3 miles along a hiking trail.

Distance = 4 2/3 miles

Another group of campers walked 1/4 of that distance with the first group before turning off onto another trail.

That is; 1/4 of 4 2/3 miles

How many miles did the two groups of campers walk with one another ?

This is obtained by solving 1/4 of 4 2/3 miles

Converting 4 2/3 to an improper fraction;

4 2/3 = 14 / 3 Miles

1/4 of 14 / 3

1 / 4 * 14 / 3

= 14 / 12 miles or 1 1/6 miles

Answer: 7/8

Step-by-step explanation:

\(\frac{1}{2}+\frac{3}{8}=\frac{4}{8}+\frac{3}{8}=\frac{7}{8}\)

Answer: C

Step-by-step explanation:

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Answer:

Y=2 because if you look at each of the y numbers they are multiples of 2

Step-by-step explanation:

Your divding

Answer:

Step-by-step explanation:

r = √(1.0² + 0.7²) = 1.22065556157337029...

θ =arctan(0.7/1.0) = 34.9920201985586621...

(1.2, 35)

For the function, the x-intercept of g(x) is at (5,0).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given f(x) = ln(x)

and g(x) = -f(x - 4)

the function is

g(x) = -ln(x - 4)

when x = 5

g(x) = -ln(5 - 4)

g(x) = -ln1

g(x) = 0

the coordinates are (5, 0)

Hence the x-intercept is (5, 0).

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Answer:

y+4=-3(x+1)

Step-by-step explanation:

You start by calculating the slope which is y1-y2 over x1-x2, which plugging the numbers in, comes out to be -3. Then, taking the point slope formula

(y-y1=m[x-x1]), you just plug the rest of the variables in.

Answer:

45 R53

Step-by-step explanation:

Hope This Helps

The domain of the rational function h(x) = (x - 3)/(x² - 4) is equal to (-∞, -2)  ∪ (-2, 2) ∪ (2, ∞).

The possible points that would lie on h(x) = x² - x + 1 are (3, 7).

True: (1, -1) is a point of the graph of f(x) = -2(x + 1)² + 7.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

From the graph of h(x) = (x - 3)/(x² - 4), the domain in interval notation and set builder notation is as follows;

Domain = (-∞, -2)  ∪ (-2, 2) ∪ (2, ∞)

Domain = {x|x ≠ 2, -2}.

Next, we would determine possible x-value for the given quadratic function as follows;

h(x) = x² - x + 1

7 = x² - x + 1

7 - 1 = x² - x

6 = x² - x

x² - x - 6 = 0.

x² - 3x + 2x - 6 = 0.

x(x - 3) + 2(x - 3) = 0

(x + 2)(x - 3) = 0

x = 3 or x = -2.

For second quadratic function f(x) = -2(x + 1)² + 7, we have:

f(x) = -2(x + 1)² + 7

-1 = -2(1 + 1)² + 7

-1 = -2(2)² + 7

-1 = -8 + 7

-1 = -1 (True).

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Answer:

FD = 25.94

Step-by-step explanation:

13x - 16 = 4x + 11 (Tangents drawn from an external point are equal)

13x - 4x = 11 + 16

9x = 27

x = 3

substituting x in 4x + 11,

4(3) + 11

12 + 11

23

ΔFED is a right triangle,

FD² = FE² + DE²

FD² = 12² + 23²

FD² = 144 + 529

FD² = 673

FD = 25.94

Answer:

FD= +-25.94

Step-by-step explanation:

EF=CF=r(radius)=12

we know,

FD^2=EF^2+ED^2 ......(1)

and

FD^2=CF^2+CD^2 ......(2)

We Know,

area of triangle, a= 1/2xbasexHeight

a=1/2xEFxED .......(3)

and

a=1/2xCFxCD .....(4)

from equation 3 and 4

1/2xEFxED=1/2xCFxCD

=> 1/2x12xED=1/2x12xCD

=>ED=CD

=>13x-16=4x+11

13x-4x=16+11

9x=27

x=3

so

FD^2=EF^2+(ED)^2

FD^2=(12)^2+(4x3+11)^2

=>FD^2=144+529

=>FD^2=673

FD=+-25.94

Answer:

a

Step-by-step explanation:

multiply both members in the pharanthesis by 6: 6*3+6*g= 18+6g

Answer:

18+6g

Step-by-step explanation:

Just multiply the 6 with both of the items in the parentheses.

6(3)+6(g)

18+6g

The root mean square velocity of Neon, in m/s as required in the task content is; 18.45 m/s.

It follows from the task content that the root mean square velocity of Neon is to be determined.

Since the molar mass of Neon is; 20 while the gas constant, R = 8.314 and T = 273K.

It follows from the root mean square velocity formula that we have;

R.M.S = √(3RT/M)

R.M.S = √{(3×8.314×273)/20}

R.M.S = √340.46

R.M.S = 18.45 m/s.

Hence, the root mean square velocity of Neon, Ne under the given condition is; 18.45 m/s.

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The two chords of the circle are same and x = 3

Given data ,

Let the circle be represented as C

Now , the length of the two chords of the circle are

The length of chord JK = 52 units

The length of chord LM = 18x - 2

Now , the two arcs subtended by the chords are the same , so

The lengths of the chords are same

Now , JK = LM

On simplifying , we get

52 = 18x - 2

Adding 2 on both sides , we get

18x = 54

Divide by 18 on both sides , we get

x = 54/18

x = 3

Hence , the chords are solved and x = 3

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Answer:

  y = -x +3

Step-by-step explanation:

You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

For the given equations, we can put them in this form to find the desired parameters.

  -3y = -9 +3x

  y = -x +3 . . . . . . . . . . divide both sides by -3

We observe that the y-intercept is +3, which we will need for our answer.

The slope-intercept form of the second equation is ...

  -2x -2y = -8

  x + y = 4 . . . . . . . . . . divide by -2

  y = -x +4 . . . . . . . . . . subtract x

We observe that the slope (coefficient of x) is -1, which we will need for our answer.

We want the equation of the line with slope -1 and y-intercept 3. It is ...

  y = -x +3 . . . . . . . . . . same as the equation of the first line

__

Additional comment

The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)