Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Use the domain {, 1, 2, 4, 8, 16} and plot the points on the graph that would best satisfy the equation y = log2x.

Answers

Answer 1

I will determine the log base 2 of x for the x-values in the set {1, 2, 4, 8, 16}.

I will use these properties:

log base m of m^n = n,

Which written with the math editor is:

[tex]log_{m}m^n=n[/tex]

1) x = 1

1 = 2^0 =>

      [tex]log_{2}1=log_{2}2^0=0[/tex]

2) x = 2

2 = 2^1 =>

     [tex]log_{2}2 = log_{2}2^1=1[/tex]

3) x = 4

4 = 2^2 =>

     [tex]log_{2}4=log_22^2=2[/tex]

4) x = 8

8 = 2^3 =>

     [tex]log_28=log_22^3=3[/tex]

5) x = 12

16 = 2^4 =>

     [tex]log_216=log_22^4=4[/tex]

6) Now you can plot the points on the graph. The points that you have to plot are:

(1,0)
(2,1)
(4,2)
(8,3)
(16,4)

Related Questions

a) Explain...
b) What is the probability that a person without HIV will have a test come out positive?
c) What is the probability that a person with HIV will have a test come out negative?
d) What is the probability that a person with HIV will have a test come out positive?

Answers

a) The cell corresponding to a positive diagnosis when the person has antibodies present as well as the cell for a negative diagnosis when the person has no antibodies present are the cells representing a CORRECT diagnosis.

The cell corresponding to a negative diagnosis when you actually have antibodies present is called a FALSE NEGATIVE and is considered as a TYPE II error.

The cell corresponding to a positive diagnosis when you actually don't have antibodies present is called a FALSE POSITIVE and is considered as a TYPE I error.

For the tree diagram for the questions below, refer to the picture attached.

b) To know the probability that a person without HIV will be diagnosed positive (false positive), we just trace the tree diagram from population to "antibodies not present" to "positive". The tree diagram will give us a value of 0.00588.

ANSWER: The probability of a false positive is 0.00588 or 0.588%.

c) We do the same thing as the previous subproblem to determine the probability that a person with HIV will be diagnosed as negative. We trace the tree diagram from population to "antibodies present" to "negative". The tree diagram will give us a value of 0.003.

ANSWER: The probability of a false negative is 0.003 or 0.3%.

d) Same thing for this subproblem. We trace the tree diagram from population to "antibodies present" to "positive" to know that the value is 0.01997.

ANSWER: The probability that a person with HIV will be diagnosed as positive is 0.01997 or 1.997%.

Which of the following is the solution of 5e^2x-4=11

Answers

Asked and answered elsewhere.
https://brainly.com/question/9020620

Need help asap please.

Answers

y intercept replace x with 0 and solve = -3

axis of symmetry = x = 3/2

coordinates of the vertex = (2,-9)

vertex form = y = (x-7)^2-19

solution set = no real solution

Choose the correct sum of the polynomials (4x3 − 2x − 9) + (2x3 + 5x + 3). 6x3 − 3x − 6 2x3 − 7x − 12 6x3 + 3x − 6 2x3 + 3x − 3

Answers

(4x^3 - 2x - 9) + (2x^3 + 5x + 3)

= 4x^3 - 2x - 9 + 2x^3 + 5x + 3

= 6x^3 + 3x - 6 (Answer: C)

Answer:

[tex]6x^3+3x -6[/tex]

Step-by-step explanation:

(4x3 − 2x − 9) + (2x3 + 5x + 3)

[tex](4x^3 - 2x - 9) + (2x^3 + 5x + 3)[/tex]

To add two polynomials, we remove the parenthesis

[tex]4x^3 - 2x - 9+2x^3 + 5x + 3[/tex]

To add it , we combine like terms. we add the like terms

[tex]4x^3+2x^3- 2x+ 5x - 9+ 3[/tex]

[tex]6x^3+3x -6[/tex]

There are 6 speakers at a conference: Ms. Sally, Ms. Elaine, Ms. Boo-Koo, Mr. Adam, Mr. Jones, and Mr. Tall. In how many ways can we order the speakers so that Mr. Adam doesn’t speak first?

Answers

Problems such as this are called counting problems. They often ask "in how many way" something can occur. Here we have 6 speakers and need to arrange them in order. We can use the counting principle which tells us that the number of ways can be obtained by considering how many speakers could be chosen for each position (first, second, third, ... sixth) and multiplying these.

Even though there are 6 speakers, Mr. Adam cannot go first so there are 5 choices for who goes first. That leaves 5 speakers who can go second. As we already picked two people, there are 4 speakers who can go third and 3 who can go fourth. That leaves 2 that can go fifth and 1 that is left for the last slot.

The total number of ways is given by (5)(5)(4)(3)(2)(1) = 600

helpp me pleasweeee?!??!!

Answers

f(1/3) = 8^(1/3) +1 = 2 +1 = 3

The 2nd selection completes the table.

An airline requires carry on luggage to weigh at most 40 pounds. Your suitcase currently weighs 10 pounds. How many pounds p are available for you to fill your suitcase with other items?

Answers

30 pounds is available to fill the suitcase with other items.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

An airline requires carry on luggage to weigh at most 40 pounds.

The Suitcase presently carry 10 pounds.

Let p be the pound available to fill your suitcase with other items.

So, p= 40- 10

p = 30 pounds

Hence, 30 pounds is available to fill the suitcase with other items.

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2.4 + 5.4q – 4.5q + 3.6

a.6+1.1q
b.9.9q+6
c.0.9q+6
d.9.9q-6

Answers

You have to add the same kind of terms, in this case the ones that have a variable (5.4q and -4.5q) and the ones that don't (2.4 and 3.6), like this:

(5.4q - 4.5q) + (2.4 + 3.6) = 0.9q + 6

The answer is c. 0.9 +6

Answer:

Step-by-step explanation:

i did the test loll <3

Y varies directly as x and inversely as the square root of w; write the sentence as an equation.

Answers

Y varies directly as x
y = kx

Y varies inversely as the square root of w
y = [tex] \frac{k}{ \sqrt{w} } [/tex]

Final answer:

The relationship where y varies directly as x and inversely as the square root of w can be represented by the equation y = k * (x / sqrt(w)). Here, k is a constant of proportionality.

Explanation:

From the statement given, we can deduce an equation representing a direct proportionality to x and an inverse proportionality to the square root of w.

In mathematics, direct and inverse proportionality relationships are commonly depicted as y = kx and y = k/x respectively, where k is a constant. For direct proportionality, as x increases, y also increases. Contrastingly, for inverse proportionality, as x increases, y decreases.

Given the statement, we can represent the relationship as follows: y = k * (x / sqrt(w)).

Here, y varies directly as x and inversely as the square root of w. The constant k is the constant of proportionality which can be determined based on specific values of x, y and w.

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A support beam to be placed at a 28° angle of elevation so that the top meets a vertical beam 1.6 meters above the horizontal floor. Thanks vertical beam meets the floor at a 90° angle.
Law of sin: sin(A)/a=sin(B)/b=sin(C)/c
Approximately how far the vertical beam should the lower end of the support be placed along the horizontal floor

A)3.0 meters
B)3.4 meters
C)3.9 meters
D)4.4 meters

Answers

1.6/sin(28)
The answer is B

Answer:

Step-by-step explanation:

helppppppppppppppppppppppppppppppppppp

Answers

Answer: the third option m(x) = - 7x

Justification:

1) For a function to have inverse function, the original function has to be one to one. This is for the original function two (or more) images cannot have different inputs. That condition is satisfied by the function m(x) = - 7x, since it is a straigh line.

2) the function b (x) = x^2 + 3 is a parabola. That means that, except by the vertex, every image is realated with two inputs.

For example, b(x) = 103 => x^2 = 103 - 3 = 100 => x = 10 and x = -10.

3) For the function d(x) = - 9, you cannot tell the input value for the image because it is the same image for any value of x.

4) The function p(x) = |x| also has a pair of images for the same value of x (excpet for the vertex).

For example, for x = - 100 and x = 100, p(x) = 100, so you cannot tell the x value given the p(x) value.

Match the reasons with the statements in the proof.

1. j||k, m∠3 = m∠1
If alternate interior angles are =, then lines are ||.
2. m∠1 = m∠2
Substitution
3. m∠2 = m∠3
Given
4. l||m
If lines are ||, then corresponding angles are =.

Answers

1. j||k, m∠3 = m∠1
Given

2. m∠1 = m∠2
If lines are ||, then corresponding angles are =.

3. m∠2 = m∠3
Substitution

4. l||m
If alternate interior angles are =, then lines are ||.

Answer:

1-given

2-if lines are parallel, then corresponding angles are equal

3-Substitution

4-if alternate interior angles are equal then lines are parallel.

Step-by-step explanation:

Given j is parallel to k,[tex]m\angle3 =m\angle 1[/tex]

We have to prove that line l is parallel to m

We have to match reason with its correct statement in given proof.

1.j is parallel to k,[tex] m\angle 3=m\angle 1[/tex]

Reason:given

2.[tex]m\angle 1=m\angle 2[/tex]

Reason:if the lines are parallel , then corresponding angles are equal.

3.[tex]m\angle 2=m\angle 3[/tex]

Reason: substitution

4.line l is parallel to m

Reason: If alternate interior angles are equal ,then lines are parallel.

What is the equation of the function y=3/x translated 4 units to the right and 5 units down

Answers

Translate 4 units right by replacing x with x-4. Translate down by subtracting that amount from the function.

y = 3/(x -4) -5

Answer:

The required equation is [tex]g(x)=\frac{3}{x-4}-5[/tex].

Step-by-step explanation:

The given function is

[tex]y=\frac{3}{x}[/tex]

It can be written as

[tex]f(x)=\frac{3}{x}[/tex]

The transformation of a function is defined as

[tex]g(x)=f(x+a)+b[/tex]

Where, a represents the horizontal shift and b represents the vertical shift.

If a>0, then the function f(x) shifts a units left and a<0, then the function f(x) shifts a units right.

If b>0, then the function f(x) shifts b units up and b<0, then the function f(x) shifts b units down.

Since the function translated 4 units to the right and 5 units down, therefore the value of a is -4 and bis -5.

[tex]g(x)=f(x-4)-5[/tex]

[tex]g(x)=\frac{3}{x-4}-5[/tex] [tex][\because f(x)=\frac{3}{x}][/tex]

Therefore the required equation is [tex]g(x)=\frac{3}{x-4}-5[/tex].

Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.

Answers

Line AD is par. to line BC

Answer:

Option A. AB || DC

Step-by-step explanation:

In the given picture measurement of angle 2 = measurement of angle A

or m∠2 = m∠A (opposite angles)

This only possible only when m∠A = m∠2 = m∠C (Corresponding angles)

If these angles are equal then two lines AB and DC are parallel and two transverse AB and DC are intersecting them.

Therefore option A. AB || DC is the answer.

Makhaya is required to spend more than 300 minutes to complete assignments, and he can use at most 20 paper sheets. Let W denote the number of writing assignments he completes and M the number of math assignments he completes.

Write an inequality that represents the condition based on the number of minutes.

Write an inequality that represents the condition based on the number of paper sheets.

Answers

The constraint on time is
.. 75W +15M ≥ 300 . . . . . . . minutes

The constraint on paper is
.. 3W +M ≤ 20 . . . . . . . . . . . sheets of paper

what is the value of z so that -9 and 9 are both solutipns fo x^2+z=103

Answers

well, we know the solutions are -9 and 9, so, let's just FOIL them then

[tex]\bf \begin{cases} x=-9\implies &x+9=0\\ x=9\implies &x-9=0 \end{cases} \\\\\\ (x+9)(x-9)=\stackrel{original~polynomial}{0}\implies x^2+0x-81=0 \\\\\\ x^2\underline{-81}=0\qquad \textit{and we can write }-81=\underline{-103+22} \\\\\\ x^2\underline{-103+22}=0\implies x^2+22=103[/tex]

The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 28 ft2 . find the dimensions of the rectangle.

Answers

Let the width = w.
Then the length is 3w - 5.
The area = LW = 28

w(3w - 5) = 28

3w^2 - 5w = 28

3w^2 - 5w - 28 = 0

(3w + 7)(w - 4) = 0

3w + 7 = 0 or w - 4 = 0

w = -7/3 or w = 4

The width of a rectangle cannot be a negative number, so we discard w = -7/3.

The width is 4 ft.
The length is 3w - 5 = 3(4) - 5 = 12 - 5 = 7
The length is 7 ft

Answer: The dimensions are length 7 ft and width 4 ft.

Final answer:

The rectangle has a width of approximately 4.18ft and a length of approximately 7.55ft. These are obtained by setting up and solving a system of equations based on the given information.

Explanation:

Let's start by setting up equations based on the problem statement. Let's denote the width of the rectangle as

w and the length as l. From the problem, we know two things: one is that the length is 5 feet less than three times the width, which can be written as l = 3w - 5. The second thing we know is that the area of the rectangle, which is obtained by multiplying the length by the width, is 28 square feet, written as l*w = 28 . By substituting the first equation into the second, we can solve for w: (3w - 5)*w = 28

. This simplifies to a quadratic equation 3w^2 - 5w - 28 = 0 which can be solved to give w=~4.18 ft and w=-2.02ft. Because the width cannot be negative, we discard the second solution. Substituting w=~4.18ft into l = 3w -5 gives

l=~7.55 ft . Therefore, the dimensions of the rectangle are approximately 4.18ft (width) and 7.55ft (length).

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Write an equation for the line that is parallel to the given line and that passes through the given point.

y =3/4 x – 9; (–8, –18)

Answers

Parallel to y = 3/4x - 9 and passes through (-8, -18)

Identify the slope : our slope is 3/4

Remember that parallel equations have the same slope, so both slopes are 3/4

Now, we have to find the y-intercept. Simply plug everything into the slope intercept form equation.

y = mx + b

(-18) = (3/4)(-8) + b

Simplify.

-18 = -6 + b

Add 6 to both sides.

-18 + 6 = b

Therefore, our y-intercept is -12.

Now plug everything into the slope intercept form.

y = mx + b

y = 3/4x - 12

~Hope I helped!~

Final answer:

To write an equation for a line that is parallel to a given line and passes through a given point, use the point-slope form of the linear equation. The slope of the parallel line is equal to the slope of the given line. Plug in the values and simplify to get the equation.

Explanation:

To find an equation for a line that is parallel to the given line and passes through the given point, we need to use the fact that parallel lines have the same slope. The slope of the given line is 3/4, so the slope of the parallel line will also be 3/4. Using the point-slope form of a linear equation, we can write the equation:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope. Plugging in the values, we get:

y - (-18) = 3/4(x - (-8))

Simplifying the equation gives:

y + 18 = 3/4(x + 8)

Next, we can distribute the 3/4 to both terms in the parentheses:

y + 18 = 3/4x + 6

To isolate y, we subtract 18 from both sides:

y = 3/4x - 12

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the area of a rectangle is 20x^2-27x-8.the length is 4x+1. What is the width?

Answers

w= (5x - 8) this is your answer

⇒w=(5x−8)
Explanation:
Let width be w
Then w(4x+1)=20x2−27x−8
So
(?x+?)(4x+1)=20x2−27x−8
Note that
5×4=20 and (−8)×(+1)=−8
⇒w(4x+1)
=(5x-8)(4x+1)=20x2+5x−32x−8
⇒w(5x−8)

What is the range of the function graphed below?

Answers

The range is -3 < y ≤ 3

To find the range of a function what you have to take into account are all the values of y that the function takes.
We have then that in this case the values are:
from y = 3 (included)
up to y = -3 (not including it)
The range of the function is:
-3 <y <= 3
Answer:
the range of the function graphed below
-3 <y <= 3

A waterfall has a height of 900 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 12 feet per second. The height, h, of the pebble after t seconds is given by the equation h equals negative 16 t squared plus 12 t plus 900. How long after the pebble is thrown will it hit the ground?

Answers

A graphing calculator shows the time to be 7.884 seconds.

_____
The quadratic formula tells you the time is
.. t = (-12 -√(12^2 +4*16*900))/(-32) = (3/8)*(1 +√401) . . . seconds

Final answer:

To find when the pebble hits the ground, solve for time using the quadratic equation from the given height function, resulting in around 6 seconds.

Explanation:

To find how long the pebble takes to hit the ground, we need to find the time t when its height h becomes 0. This means we need to solve the equation for t when h = 0:

-16t² + 12t + 900 = 0

This is a quadratic equation, and we can solve it using various methods like factoring, the quadratic formula, or completing the square. Here, we'll use the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

where a = -16, b = 12, and c = 900:

t = (-12 ± √(12² - 4 × -16 × 900)) / (2 × -16)

t = (-12 ± √(614400)) / -32

t ≈ (-12 ± 247.88) / -32

There are two possible solutions:

t1 ≈ 25.50 seconds

t2 ≈ -5.50 seconds (we can discard this since time cannot be negative)

The pebble will hit the ground approximately 6 seconds after it is thrown.

Look at the picture below // 99 points // PLEASEE HELPP

Answers

The answer will be A

area of hexagon = 3√3a^2 / 2 = 3√3 (18^2) / 2 = 842
area of rectangle = 21*18 = 378

area of shaded = 842 - 378 = 464

answer
A) 464 square units

A sample of n = 6 scores has a mean of m = 5. one person with a score of x = 12 is added to the distribution. what is the mean for the new set of scores?

Answers

the answer is 7.66. hope this helps

Final answer:

To calculate the new mean after adding a score of 12 to the original 6 scores with a mean of 5, determine the total sum of the original scores, add 12, and divide by the new number of scores. The new mean for the 7 scores is 6.

Explanation:

To find the new mean when one person with a score of x = 12 is added to a sample of n = 6 scores with a current mean of m = 5, first calculate the total sum of the scores before the new score is added. This can be done by multiplying the mean by the number of scores. Then add the new score to this total and divide by the new number of scores.

Calculate the total sum of the original scores: Total sum = mean × number of scores = 5 × 6 = 30.Add the new score to the total sum: New total sum = 30 + 12 = 42.Calculate the new mean by dividing the new total sum by the new number of scores: New mean = New total sum ÷ new number of scores = 42 ÷ 7 = 6.

So, the mean for the new set of scores is 6.

Which logarithmic equation is equivalent to the exponential equation below?
4c = 256

A. log256 c = 4
B. logc 256 = 4
C. log4 c = 256
D. log4 256 = c

Answers

The answer is D. C= log4 256

The logarithmic equation is equivalent to the exponential equation is [tex]log_4[/tex] 256 = c

The correct option is (D).

What is Logarithm Function?

Logarithms are useful for solving exponential equations and investigating the properties of exponential functions. They will also be incredibly useful in calculus, where they will be used to compute the slope of various functions and the area circumscribed by various curves.

Given:

[tex]4^c[/tex] = 256

Now, writing into Logarithmic Function we can write it as

[tex]log_4[/tex] 256 = c

If we further solve it we get

256 = [tex]4^c[/tex] (log become exponential we move from either side of Equal Sign.)

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Please help ASAP!!! 42 points and will mark brainliest for RIGHT answer!!!

Answers

I am pretty sure its B,

PLEASE SOMEONE HELP ON THIS !!!
BRAINLIEST WILL BE GIVEN TO CORRECT ANSWER

TRY TO EXPLAIN IT....

Answers

The order will be B,C,A

B and C are both 30cm of water, but B filled up 1 minute faster than C

Mario bought a shirt priced at $ 24.99 and a pair of pants priced at $ 39.99. For these items, he paid a total of $ 69.53 , sales tax included. What was the sales tax rate?

Answers

24.99 + 39.99 = 64.98

69.53-64.98 = 4.55

4.55/69.53 = 0.0654 = 6.5% sales tax

what is 1000x - 1x?

A) 101x
B) 1001x
C) 99x
D) 999x

Answers

Your answer is D) 999x

Hey there!

Let's think of what 1000x means.

We know that multiplication is repeated addition. For example, 5(5) = 5+5+5+5+5. It's 5 added five times.

It's no different here. That means we have x 1000 times. If we look at a simpler situation:

5x - 3x, we have (x + x + x + x + x) - (x + x + x)

That means we're getting rid of 3 x's, which means we have 2x. If we have different coefficients but the same variable, we can just subtract or add the coefficients but keep the variable. That means:

4x - 2x = 2x and 10x - 5x = 5x

Now, we can do this problem. We want:

(1000-1)x = 999x

Your answer is D.

Hope this helps!

The bear population increases at a rate of 3% each year. There are 1462 bears this year. How many bears will there be in 10 years?

Answers

Final answer:

The bear population will be approximately 1965 bears in 10 years.

Explanation:

To calculate the bear population in 10 years, we can use the formula for exponential growth:

P = P₀(1 + r)ⁿ

Where:

P is the final population

P₀ is the initial population

r is the growth rate as a decimal

n is the number of years

In this case, the initial population (P₀) is 1462, the growth rate (r) is 3% (0.03), and the number of years (n) is 10. Plugging these values into the formula, we get:

P = 1462(1 + 0.03)¹⁰ ≈ 1965.32

Therefore, there will be approximately 1965 bears in 10 years.

Help me ASAP!!! THANKS!

RANDOM ANSWERS WILL BE MODERATED!

Answers

It isn't clear to me whether you want a graph of that region, or you want a graph of a function that has those characteristics. Either way, ....

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