The focus of a parabola is (2, 5) and the directrix is y = 3. Find the equation of the parabola in standard form.

The approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4

From the question, we are to determine the approximate solution to the given equation,

The given equation is

[tex]4lnx -8 =12[/tex]

First, add 8 to both sides

[tex]4lnx -8+8 =12+8[/tex]

[tex]4lnx =20[/tex]

Now, divide both sides by 4

[tex]ln x =\frac{20}{4}[/tex]

[tex]ln x = 5[/tex]

Take the exponents of both sides

[tex]e^{lnx} = e^{5}[/tex]

x = 148.413

x ≅ 148.4

Hence, the approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4

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Answer:

3 < x < 6

Step-by-step explanation:

1) Subtract 2 from the whole equation.

- 13 - 2 > -5x > -28 - 2

2) Simplify.

-15 > -5x > -30

3) Divide the whole equation by -5.

-15/-5 < x < -30/-5

4) Simplify.

3 < x < 6

The 62.5% of residences in the country that are rentals if the total number of residence in the country is 144,000.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We are assuming:

Total number of residence in the country = 144,000

In which 900,00 residences are rentals.

Percentage of residences in the country that are rentals:

= (90000/144000)×100

= 0.625×100

= 62.5%

Thus, the 62.5% of residences in the country that are rentals if the total number of residence in the country is 144,000.

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Answer:because it’s like a quarter

Step-by-step explanation:

A quarter is 25c, 25•3=75

Step-by-step explanation:

1. So first you have to cross multiple the two terms

2.Solve the algebraic equation

By dividing with 12 on both sides

(Note :That's a 32 in the picture sometimes i really write bad)

Answer:

[tex]C= 62.8m[/tex]

Step-by-step explanation:

Let's round [tex]\pi = 3.14[/tex]. Area of a circle if [tex]\pi r^2[/tex]. In our case, we can easily find out the radius[tex]\pi r^2 = 100\pi \rightarrow r=10m^[/tex]. At this point, it's easy to find the length of the circumference by doubling it and multiplying again by [tex]\pi[/tex]:

[tex]C= 2\pi r = 62.8 m[/tex]

The slope is the change in vertical axis of a graph to its horizontal axisor the rise to run of a line.

The slope is the change in vertical axis of a graph to its horizontal axis. This can also be the rise to run of a line.

The formula for calculating the slope of a line is given asL

Slope = rise/run

It can also be expressed as:

Slope = change in y-axis/change in x-axis

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Answer:

-2c-16

Step-by-step explanation:

do 7-9 because it's the only thing you can solve.
--> -2c-16

The probability of drawing three queens from a standard deck of cards is 0.000162.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Total cards = 54

No. queens in a deck = 4

Probability of drawing a queen card = 4/54

Now that 1 queen has been taken, the no. of cards becomes = 53

and

no. of queens = 3

Probability of getting a queen again = (3/53)(4/54)

Two queens have already been removed.

No. of cards in the deck = 52

No. of queens in the deck = 2

Probability of drawing three queens

= (2/52)(3/53)(4/54)

= 0.000162 approximately

The probability of drawing three queens from a standard deck of cards is 0.000162.

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Answer:

B

Step-by-step explanation:

To rotate triangle ABC about the origin 90° clockwise we would follow the rule (x,y) → (y,-x), where the y-value of the original point becomes the new x-value and the x-value of the original point becomes the new y-value with the opposite sign.

Answer: y=2x+7

(this is a rearranged version of y-2x=7 from question)

Step-by-step explanation:

4x=5-2y

y-2x=7

i would rearrange the 2nd value into y intercept form y=mx+b

so move the -2x to the other side of the = sign by doing the opposite, +2x on both sides to isolate the y

y=2x+7

you didn't give any options for "correct answer" so i can't give

you A B C or D answers

Answer:

f(x)=11.1035−0.920848x

Step-by-step explanation:

Answer:

i think its 4.7

Step-by-step explanation:

Answer:

AC is an enlargement of AE

scale factor = 11.7 ÷ 5.2 = 2.25

CD is an enlargement of AB

10.5 ÷ 2.25 = 4.666666...

= 4.7 (rounded to nearest tenth)

Answer:

[tex]the \: probability \: is \: \frac{5}{60} \\ when \: simplified \: becomes \: \frac{1}{12} [/tex]

Step-by-step explanation:

The solution is in the image

Answer:

84.8

Step-by-step explanation:

Begin by finding the total area of the circle. You have been given the radius.

A = πr²

A = π(6)²

A = 36π

A = 113

If there is only 3/4 of the circle, then multiply the entire area by 3/4 to find the final answer.

113 x 3/4 = 84.8

This are function used to determine the term of a sequence. The second and the third term of the sequence is 6 and 18

This are function used to determine the term of a sequence. Given the following functions

an+1 = 3an

Given that a1 = 2

a2 = 3a1

a2 = 3(2)

a2 = 6

For the third term a3

a3 =3a2

a3 = 3(6)

a3 = 18

Hence the second and the third term of the sequence is 6 and 18

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The amount paid for the computer including sales tax is 0.918p

The price paid is given as:

Price = p

A 15% off means that he pays 85%.

So, we have:

Amount = 85% * p = 0.85p

A sales tax of 8% means:

Total = 0.85p * (1 + 8%)

Evaluate the product

Total = 0.918p

Hence, the amount paid is 0.918p

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Answer:

D. 2<=x<=6

Step-by-step explanation:

domain: all possible x-values

Answer: 432

Step-by-step explanation:

  12

x 36

--------

    72

+ 36

-------

432

Since the limit of f(x) is non-zero, the limit distributes over the quotient and

[tex]\displaystyle \lim_{x\to c} \frac{g(x)}{f(x)} = \frac{\displaystyle \lim_{x\to c}g(x)}{\displaystyle \lim_{x\to c}f(x)} = \frac{\dfrac15}{-4} = \boxed{-\frac1{20}}[/tex]

Answer:

It is the third option

Step-by-step explanation:

Trust me

The total value of Daniel's large assets is $59,600

From the question, we are to determine the total value of Daniel's assets

From the given information,

Daniel has $600 in a checking account and he has $12,000 in a savings account.

He also owns a $12,000 car and a $35,000 house

Then,

The total value of his assets = $600 + $12,000 + $12,000 + $35,000

The total value of his assets = $59,600

Hence, the total value of Daniel's large assets is $59,600

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Answer: 47,000

Step-by-step explanation:

large assets: House+car

12,000+35,000=47,000

So we replace "x" with the necessary value (3):

[tex]f(3) \: = \: 2 \: \times \: 3[/tex]

[tex]f(3) \: = \: \boxed{ \bold{6}}[/tex]

[tex]\text{Opción A. } \boxed{ \bold{55}}[/tex]

The material wasted is 7915.375 sq cm.

The product of its length and breadth.

Area = length* breadth

Given:

length= 150 ac, breadth = 100 cm

d= 0.9m 5cm

r= 47.5 cm

Area of rectangle,

= l * b

= 150*100

= 15000 sq. cm

Area of Circular cloth,

= πr²

=3.14*47.5*47.5

=7084.625 sq cm.

Hence, the wasted material is = 15000-7084.625

                                                  = 7915.375 sq cm

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Answer:

The answer is option A

Step-by-step explanation:

The solution is in the image

Answer:

  (smallest, largest) = (B, C), (D, E), (G, J)

Step-by-step explanation:

Side lengths of a triangle are proportional to the sine of the opposite angle. In a triangle, a larger angle will always have a larger sine. That means the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

__

The shortest side is 5 units, opposite angle B. The longest side is 7 units, opposite angle C.

The shortest side is 3 units, opposite angle D. The longest side is 5 units, opposite angle E.

The shortest side is 5 units, opposite angle G. The longest side is 5.1 units, opposite angle J.

_____

Additional comment

Angles in a triangle may exceed 90°. The sine function actually is decreasing for angles above 90°. However, since the total of angles of a triangle must be exactly 180°, there cannot be two angles in a triangle such that the smaller angle has the larger sine.

Answer:

x is 92 degrees

The lines x and a are parallel and congruent, meaning they are evenly proportioned and have the same length.