The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 5 units, then what is the value of k?

k equals one fifth
k = 5
k equals negative one fifth
k = −5

I assume the limit you're asked to copmute is supposed to be

[tex]\displaystyle \lim_{x\to5} \frac{\sqrt{x+4}-3}{x-5}[/tex]

Rationalize the numerator by multiplying it by its conjugate:

[tex]\dfrac{\sqrt{x+4}-3}{x-5} \times \dfrac{\sqrt{x+4}+3}{\sqrt{x+4}+3} = \dfrac{\left(\sqrt{x+4}\right)^2-3^2}{(x-5) \left(\sqrt{x+4}+3\right)} = \dfrac{x-5}{(x-5) \left(\sqrt{x+4}+3\right)}[/tex]

Since x is approaching 5, we have x ≠ 5 and can cancel the factors of x - 5 to remove the discontinuity.

Then

[tex]\displaystyle \lim_{x\to5} \frac{\sqrt{x+4}-3}{x-5} = \lim_{x\to5} \frac1{\sqrt{x+4}+3} = \frac1{\sqrt9+3} = \boxed{\frac16}[/tex]

because the simplified limand is continuous at x = 5.

Answer:

it is C. 1/6th

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

First you would create a ratio.

Convert 3 1/4 gallons in a decimal -> 3.25 gallons

If 1 gallon = 4 quarts, then

[tex]\frac{3.25}{1} =\frac{x}{4}[/tex]

Now, solve for x via cross multiplying

[tex]x=13[/tex]

and sidenote ripp iready i feel your pain

Answer:

$3.15

Step-by-step explanation:

1 dryer: 500 W

6 dryers: 6 × 500 W = 3000 W × (1 kW / 1000 W) = 3 kW

Running 6 dryers for 1 hour: 3 kW × $0.15 kWh = $0.45

Running 6 dryers for 7 hours: $0.45 × 7 = $3.15

Answer:

(2 x 3 x [tex]13x^6[/tex][tex]Y^{4[/tex])

Step-by-step explanation:

The best way to do this is to use the butterfly method. Assume the ? = x

[tex]\frac{1}{10} = \frac{x}{1,000} \\10x = 1,000\\x = 100[/tex]

Thus, the question mark would be 100

Hope this helped! :)

Answer:

A. Hyperbole

Step-by-step explanation:

"I've asked you a million times to please close the back door," said Jade's mother.

A million times is the exaggerated phrase in the sentence. Jade's mother did not really ask her that a million times, but it is used in this sentence as a way to show the reader that she said it a lot.

Hope this helps! : )

Step-by-step explanation:

3x + 3 × 5 = 18

3x + 15 = 18

3x = 18 - 15

3x = 3

x = 3/3

x = 1

The center of the circle x² + y² + 8x − 6y + 21 = 0 is at (-4, 3) and the radius of the circle is 2 units.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given as

x² + y² + 8x − 6y + 21 = 0

The equation can be written as

x² + 8x + 16 + y² − 6y 9 = 4

(x + 4)² + (y − 3)² = 2²

Then the center of the circle is at (-4, 3) and the radius of the circle is 2 units.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer: ^ TDLR : 2 units / A

Step-by-step explanation:

edge 2023 x3

The statistical test at the 5% significance level shows that we fail to reject the null hypothesis.

From the information given, the level of significance is 0.05 and n is 600. The degree of freedom will be:

= 4 - 1 = 3

The test statistic will be:

= ∑(O - E)²/E

= 6.92

The critical value is also given as 7.815 from the table. Since the test statistic is lesser than the critical value, we fail to reject the null hypothesis.

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Answer:

15/20 in simplest form is 3/4

Step-by-step explanation:

15/20 in simplest form is 3/4 cause if you divide 15 by 5 you get 3 and if you divide 20 by 5 you get 4

The simplest form of the given fraction 15/20 is 3/4.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, Kenisha's dog ate 15/20 of a bag of dog food last week.

The simplest form is the smallest possible equivalent fraction of the number.

Here, simplest form of 15/20

Divide both the numerator and denominator by 5, we get

15÷5/20÷5 = 3/4

Therefore, the simplest form of the fraction is 3/4.

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Answer:

70% of 18 < to 80% of 70

Step-by-step explanation:

70% of 18 is 12.6, and 80% of 70 is 56. So 12.6 < 56.

To get the calculations I did .70 x 18 and then .80 x 70

Answer:

-------------------------

Step-by-step explanation:

the angles 5 and 8 are also congruent to A.

Answer:

12.6

Step-by-step explanation:

well the true answer is 12.56, i might of rounded wrong lol

Answer:

276

Step-by-step explanation:

275.59 is if its not rounded. you round up since its over .5, so it rounds to 276. hope this helps!

Answer:

a₃₀ = 201

Step-by-step explanation:

there is a common difference between consecutive terms , that is

453 - 462 = 444 - 453 = - 9

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 462 and d = - 9 , then

a₃₀ = 462 + (29 × - 9 ) = 462 - 261 = 201

When the bill came, she would need to pay Millersburg sales tax of 8% and would want to leave a 15% tip on the original $300. Including tax and tip, Camilla's meal cost $369.

Given that,

Original Meal Cost: $300

Sales Tax: 8% of the original meal cost

Tip: 15% of the original meal cost

Total Cost: Sum of the original meal cost, sales tax, and tip

Original Meal Cost = $300

Sales Tax = 8% of $300 = 0.08 * $300 = $24

Tip = 15% of $300 = 0.15 * $300 = $45

Total Cost = Original Meal Cost + Sales Tax + Tip

Total Cost = $300 + $24 + $45 = $369

Including tax and tip, Camilla's meal cost $369.

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Answer:

A

Step-by-step explanation:

Because A small parallelogram has a left side length of 10 centimeters and a top side length of 15 centimeters. A larger parallelogram has a left side length of x centimeters and the top side length of y centimeters.

Answer:

z×(-5+3)then you complete the sum and that is your answer

Step-by-step explanation:

hope it helps you

Answer:The length of the third side is a-2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

#1) Subtract 15 from each side.

#2) Divide 2 from each side.

Using the Factor Theorem, it is found that yes, it is possible for a sixth degree polynomial function with integer coefficients to have no real zeroes, as they can have three complex-conjugate pairs.

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

If a complex number is a root of a function, it's conjugate will also be a root. Thus, with three pairs of complex-conjugate roots, for example, [tex]\pm i, \pm 2i, \pm 3i[/tex], a sixth degree function with no real zeros is formed, so the answer is Yes.

More can be learned about the Factor Theorem at https://brainly.com/question/24380382

Answer:

How r u doing today? i needed friends

so,Hi,

Answer:

the answer is b

Step-by-step explanation:

it makes the most sense

option D is correct.

Explanation:

[tex]\rightarrow \sf f(x) = 2x-9[/tex]

To find inverse, make x the subject

[tex]\rightarrow \sf f(x)+9 = 2x[/tex]

[tex]\rightarrow \sf x = \dfrac{ f(x)+9}{2}[/tex]

So the inverse is:

[tex]\rightarrow \sf g(x) = \dfrac{ x+9}{2}[/tex]

Rest all options are incorrect and is not inverse of each other.

The probability that a person has a positive rh factor given that he/she has type O blood is approximately 82.2 %

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]

Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]

List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  [tex]X_i[/tex] and [tex]Y_j[/tex] (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

The missing two-way table for this problem is given below:

[tex]\begin{array}{cccccc}&A&B&AB&O&\rm Total\\\text{Negative}&0.07&0.02&0.01&0.08&0.18\\\text{Positive}{&0.33&0.09&0.03&0.37&0.82\\\rm Total & 0.40&0.11&0.04&0.45&1 \end{array}[/tex]

Instead of frequencies, it contains ratio of frequency to total count of people surveyed (thus, relative frequency).

We want the probability that a person has a positive rh factor given that he/she has type O blood.

If we take:

E = event that a random person chosen has a positive rh factor

and F = event that a random person chosen has type O blood

Then, the needed probability is written symbolically as:

P(E|F).

Using the considered two-way table and the chain rule, we get this probability as:

[tex]P(E|F) = \dfrac{P(E \cap F)}{P(F)} = \dfrac{n(E \cap F)/ n(Total)}{n(F)/n(Total)}[/tex]

Since the two way table consists relative frequency with total count, so, we get:

[tex]n(E \cap F)/n(Total) = 0.37\\n(F)/n(Total) = 0.45[/tex]

[tex]P(E|F) = \dfrac{n(E \cap F)/ n(Total)}{n(F)/n(Total)} = \dfrac{0.37}{0.45} \approx 0.822 = 82.2\%[/tex]

Thus, the probability that a person has a positive rh factor given that he/she has type O blood is approximately 82.2 %

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Answer:

The answers will be

The probability that a person has a positive Rh factor given that he/she has type O blood is 82 percent.There is a greater probability for a person to have a positive Rh factor given type A blood than a person to have a positive Rh factor given type O blood.

Step-by-step explanation:

Hope this help!

Answer:

it is w45 y 10

Step-by-step explanation:

Answer:

3/24 or 1/8 (either one)

Answer: 3/24

Step-by-step explanation:

Lets see

ATQ

Answer:

a = 3 cm

Step-by-step explanation:

The length of each side of a cube is 3 cm.

(Refer to the attachment)

Answer:

312 divided by 24 = 13.

So the hourly rate is 13/hour

Answer:

$13.00. To find the hourly rate you need to divide the total amount Jackie earned by the amount of hours she worked in total. When you divide 312 by 24 you will get 13, therefore Jackie makes a total of $13.00 per hour.