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. Indicate in standard form the equation of the line through the given points. P(0, -4), Q(5, 1)

Answer:

B

Step-by-step explanation:

common difference is 3

explicit formula is

first term + ( n-1 ) * common difference

= -7 + ( n-1) * 3

Answer:

angle X = 136 degrees

Step-by-step explanation:

Given XYZW is a trapezoid means XY || WZ.

Given XW ≅ YZ means that base angles are equal

=>

XWZ = YZW = 44

Since interior angles between parallel lines are supplementary,

angle X = YXW = 180-XWZ = 180-YZW = 180-angle Z = 180-44 = 136 degrees

Answer:

Angle X =136 degrees

Step-by-step explanation:

Answer:

Hey I know!

1.10 euro

Answer:

397.5 :)

Step-by-step explanation:

Answer: [tex]x=0\text{ and }x=e^4[/tex]

Step-by-step explanation:

Given function: [tex]f(x) = \ln(4 - \ln(x))[/tex]

Since, [tex]\ln 0=\infty[/tex]

Here, if

[tex]f(x)\to \infty\\\Rightarrow\ 4-\ln x=0\Rightarrow\ln x=4\Rightarrow\ x=e^4\\\text{OR}\ln x=\infty\Rightarrow\ x=0[/tex]

Hence, the vertical asymptotes of f(x) are:

[tex]x=0\text{ and }x=e^4[/tex].

Using it's concept, it is found that the vertical asymptotes of the function are: [tex]\mathbf{x = 0, x = e^4}[/tex]

A vertical asymptote of a function f(x) are the values of x for which the function is outside it's domain.

For the ln function, that is, [tex]\ln{g(x)}[/tex], they are the values of x for which:

[tex]g(x) = 0[/tex]

In this problem, the function is:

[tex]f(x) = \ln{(4 - \ln{(x)})}[/tex]

For the inner function, x = 0 is a vertical asymptote, as [tex]\ln{0}[/tex] is outside the domain.

For the outer function:

[tex]4 - \ln{(x)} = 0[/tex]

[tex]\ln{(x)} = 4[/tex]

[tex]e^{\ln{(x)}} = e^4[/tex]

[tex]x = e^4[/tex]

A similar problem is given at https://brainly.com/question/23535769

Answer:

x = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given

4x - [tex]\frac{5}{6}[/tex] - 2x - [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{3}[/tex]

Multiply through by 6 to clear the fractions

24x - 5 - 12x - 1 = 4

12x - 6 = 4 ( add 6 to both sides )

12x = 10 ( divide both sides by 12 )

x = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]

Answer:

a) [tex]1,000,000 \times (1.06)^{t}[/tex]

b) The function is recursive

c) The benefits includes;

1) Simplification of information

2) Faster data access

3) Lesser storage requirement

4) Good for forecasting

5) Simplifies information analysis.

Step-by-step explanation:

The given information are;

The current population = 1,000,000

The rate of increase of the population = 6%

a) With the standard function notation is [tex]P_f[/tex]  = [tex]P_p[/tex] × [tex](1 + r)^{t}[/tex]

Where;

[tex]P_f[/tex] = Future population

[tex]P_p[/tex] = Present population

r = Rate of population increase

t = The number of years

Therefore, we have;

[tex]P_f[/tex]  = 1,000,000 × [tex](1 + 0.06)^{t}[/tex] = 1,000,000 × [tex](1.06)^{t}[/tex]

The population increases by a factor of [tex](1.06)^{t}[/tex] given the number of years, t

b) The function is recursive as it takes account of the number of years and the previous population to calculate the future population

c)  The benefits includes;

1) Simplification of the relationship of a given data with time

2) Provides a more faster way to access data that is recursive than using complex regular function with more variables

3) Reduces data storage space for statistical calculations as several particular data can be accessed using one function

4) Provides improved forecasting

5) Enables detailed information analysis.

Answer:

  a) 18.6%

  b) 598,230

Step-by-step explanation:

a) In the first part of the question, you are given two population values and asked to find the percentage difference between them. A formula you can use for that is ...

  percentage difference = (difference)/(original value) × 100%

The difference of interest is the difference between the 2011 population and the 2001 population

  difference = 510,000 -430,000 = 80,000

The original value is the 2001 population, so the percentage difference is ...

  percentage difference = 80,000/430,000 × 100% = 0.1860 × 100% = 18.6%

This is a positive value, so represents an increase.

The percentage increase in population from 2001 to 2011 was 18.6%.

__

b) In the second part, you are given the percentage difference and asked to find the new value. We can rearrange the above formula to find the difference:

  difference = (percentage difference)/100% × original value

Then the difference between the 2021 population and the 2011 population will be ...

  difference = (17.3%)/100% × 510,000 = 0.173 × 510,000 = 88,230

So, the population in 2021 is expected to be 88,230 more than in 2011:

  2021 population = 520,000 +88,230 = 598,230

The predicted population in 2021 is 592,230.

Complete question:

[tex] F(x) = -6x^5 + 4x^3 [/tex]

Which characteristic is correct for the function

a) odd

b) neither even nor odd

c) both even and odd

d) even

Answer:

a) odd

Step-by-step explanation:

Given the equation:

[tex] F(x) = -6x^5 + 4x^3 [/tex]

To test for even or odd let's perform the following:

F

Replace "x" with "-x"

Thus,

[tex] F(x) = -6x^5 + 4x^3 [/tex]

[tex] = -6(-x)^5 + 4(-x)^3 [/tex]

[tex] = 6x^5 + -4x^3 [/tex]

Since [tex] -6x^5 + 4x^3 [/tex] ≠ [tex]-6(-x)^5 + 4(-x)^3[/tex] the equation is not even.

Also,  the signs changed, the equation is considered to be odd.

I.e f(x) = -f(x)

Correct answer is option (a) odd

Answer:

odd

explanation:

Answer:

[tex]\boxed{\frac{5}{12} \ miles}[/tex]

Step-by-step explanation:

Will ran = [tex]1 \frac{2}{3} \ of \ a \frac{1}{4} \ miles \ track[/tex]

Will ran = [tex]\frac{5}{3} * \frac{1}{4}[/tex]      [of means to multiply]

=> [tex]\frac{5*1}{3*4}[/tex]

=> 5/12 miles

Answer:

The area of △ABC is equal to the area of △DEF

Step-by-step explanation:

On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (4, 2), (7, 2), (4, 6). Triangle D E F has points (negative 2, negative 1), (4, negative 3), and (4, negative 1).

How do the areas of triangle ABC and DEF compare? The area of △ABC is 1 square unit less than the area of △DEF. The area of △ABC is equal to the area of △DEF. The area of △ABC is 1 square unit greater than the area of △DEF. The area of △ABC is 2 square units greater than the area of △DEF.

Answer: The length of the sides of the triangle ABC are given below:

[tex]AB=\sqrt{(7-4)^2+(2-2)^2} =3\ unit\\\\BC=\sqrt{(4-7)^2+(6-2)^2} =5\ unit\\\\AC=\sqrt{(4-4)^2+(6-2)^2} =4\ unit[/tex]

The area of triangle ABC is given as:

Area = 1/2 × base × height = 1/2 × 3 × 4 = 6 unit²

The length of the sides of the triangle DEF are given below:

[tex]DE=\sqrt{(4-(-2))^2+(-3-(-1))^2} =\sqrt{40} \ unit\\\\EF=\sqrt{(4-2)^2+(-1-(-3))^2} =2 \ unit\\\\DF=\sqrt{(4-(-2))^2+(-1-(-1))^2} =6 \ unit[/tex]

The area of triangle DEF is given as:

Area = 1/2 × base × height = 1/2 × 2 × 6 = 6 unit²

The area of triangle ABC is equal to 6 unit² and the area of triangle DEF is equal to 6 unit² , therefore The area of △ABC is equal to the area of △DEF

Answer:

b

Step-by-step explanation:

edge exam

Answer:

Step-by-step explanation:

[tex] \frac{7x + 19}{(x + 1)(x + 5)} [/tex]

Multiply each term in the first parentheses by each term in second parentheses ( FOIL)

[tex] \frac{7x + 19}{x(x + 5) + 1(x + 5)} [/tex]

Calculate the product

[tex] \frac{7x + 19}{ {x}^{2} + 5x + x + 5} [/tex]

Collect like terms

[tex] \frac{7x + 9}{ {x}^{2} + 6x + 5 } [/tex]

Hope this helps...

Best regards!!

Answer:

Step-by-step explanation:

[tex]21\: square\:meters = 6 \:wizard \:cloak\\x\:square\:meters\:\:=4 \:wizard\:cloaks\\\\Cross\:Multiply\\6x = 84\\\frac{6x}{6} =\frac{84}{6} \\\\x = 14 \:square\:meters[/tex]

Answer:

14.0 square meters

Step-by-step explanation:

Answer: Choice B

a_n = 10(1/2)^(n-2) is the nth term

average rate of change = -35/3

=======================================================

Explanation:

Each time x increases by 1, y is cut in half. For instance, going from (2,10) to (3,5) shows this.

If we want to go in reverse, decreasing x by 1 will double the y value. So (1,20) is another point and (0,40) is another. We'll be using (0,40) and (3,5) because we want the average rate of change from x = 0 to x = 3. I'm using x in place of n here.

Use the slope formula to find the slope of the line through (0,40) and (3,5)

m = (y2-y1)/(x2-x1)

m = (5-40)/(3-0)

m = -35/3

The negative slope means the line goes downhill as you read it from left to right. The average rate of change from n = 0 to n = 3 is -35/3

The nth term of this geometric sequence is 20(1/2)^(n-1) since 20 is the first term (corresponds to n = 1) and 1/2 is the common ratio. Your teacher has done a bit of algebraic manipulation to change the n-1 into n-2. This means the 20 has to change to 10 to counterbalance.

In other words, 20(1/2)^(n-1)  is equivalent to 10(1/2)^(n-2) when n starts at n = 1.

Answer:

D

Step-by-step explanation:

In this question, we are to select which of the options best answer the question.

What we are dealing with in the question is the coefficient of correlation. We want a correlation. coefficient that is positively linear.

Correlation talks about the extent of agreement between the data points involved.

So basically, what we want here are the two terms that are mostly related to one another.

A has no relationship between the two quantities. There is actually no relationship between a refrigerator’s temperature and the number of items in the refrigerator.

B , all things being equal, when a child ages , the amount spent of baby food decreases.

This shows a kind of negative correlation between the two terms

C basically has no relationship between the term/. The number of cars owners does not dictate the length of the driveway.

D. Yes, we have a positive linear relationship here. The longer you drive, the longer the distance covered.

Answer:

C

Step-by-step explanation:

If (x + h) is a factor of f(x) then remainder is zero and x = - h is a root

Since division of 2x² + 2x + 9 by (x + 3) is zero , then

(x + 3) is a factor and x = - 3 is a root of the polynomial → C

Answer:

b=4

Step-by-step explanation:

So, we have the function [tex]f(x)=1/x[/tex]. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8[/tex]

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

[tex]\frac{.5b-1}{2b-b^2} =\frac{-1}{8}[/tex]

Now, cross multiply.

[tex]4b-8=b^2-2b[/tex]

[tex]b^2-6b+8=0[/tex]

Solve for b. Factor using the numbers -4 and -2.

[tex]=(b-4)(b-2)=0[/tex]

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

We want to find an interval such that the given equation, f(x) = 1/x, has an average rate of change of -1/8 in that interval.

We will see that the interval is [2, 4]

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

For a function f(x), the average rate of change in the interval [a, b] is given by:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Here we have:

[tex]f(x) = 1/x[/tex]

And the interval is [2, b] such that r in that interval is -1/8, so we need to solve:

[tex]r = -1/8 = \frac{f(b) - f(2)}{b - 2} = \frac{1/b - 1/2}{b - 2}[/tex]

We can rewrite it to:

[tex]-1/8 *(b - 2)= 1/b - 1/2\\\\-1/8 *(b - 2)= 2/2b - b/2b = (2 - b)/2b = -(b - 2)/2b[/tex]

Now we can remove the term (b - 2) because it appears on both sides, so we get:

[tex]-1/8 = -1/2b\\1/8 = 1/2b\\2/8 = 1/b\\1/4 = 1/b\\b = 4[/tex]

Then we found that b must be equal to 4, so the interval is [2, 4]

If you want to learn more, you can read:

https://brainly.com/question/23483858

Answer:

1 = 90°, 2 = 66°

Step-by-step explanation:

Since the diagonals of a rhombus are perpendicular, ∠1 = 90°. Using the Exterior Angles Theorem (exterior angle = sum of remote interior angles, we see that ∠2 = 90 - 24 = 66°.

Answer:

See my explanation

Step-by-step explanation:

-2x + (x - 4) = 18

-x - 4 = 18

-x = 22          <- this is wrong in question writing as x = 22

so, x = -22

Answer:

B. x > 3

Step-by-step explanation:

Well we first simplify the following inequality,

3(8 - 4x) < 6(x - 5)

Distribute

24 - 12x < 6x - 30

Communicative property

-6x

24 - 18x < -30

-24

-18x < -54

Divide -18x by both sides

Which flips the < to a >.

x > 3

Thus,

the answer is B. x > 3.

Hope this helps :)

Answer: the correct answer is 40

Step-by-step explanation:

All angles in a triangle equal 180.

180-100=80

the question says the other two angles are equal. So we will divide by 2

80/2=40

Answer:

A.928.20 is the answers..

Answer:

BD

Step-by-step explanation:

to find the longest segment in a triangle, first find the largest angle and the line opposite to it is the largest segment:

in this case it is angle BCD and the segment opposite is BD

Answer:

V > -15

Step-by-step explanation:

[tex]\frac{V}{3} +12>7\\\\\frac{V}{3}>-5\\\\V>-15[/tex]

Answer:

V > -15

Step-by-step explanation:

V/3 + 12 > 7

V/3 > -5

V > -15

Answer:

a) 60,000 cubic cm

b)600,000 cubic mm

c)60 L

Step-by-step explanation

To find the volume, you would have to multiply the height length and width.

50*40*30 and that equals to 60,000 cm. 10 mm=1cm.

So 60,000*10=b, b=600,000,  1,000 cm=1 L

60,000/1,000=L, L=60

Hope this helps. If it does, please rate 5 stars!

Answer:

work is shown and pictured

Answer:If it has 4 equal sides

If the angles are 90°

Hope this may helps you

Answer:

A square is characterized by

Hope this helps ;) ❤❤❤

Answer:

88

Step-by-step explanation:

The key to this question is combining the two fractional pieces we know about. Namely, Hermione has 1/4 of the books and Ginny has 1/2 of them. This means that between the two of them, they account for 3/4 of the library.

So what does that mean? Well, it means that the books Ron and Hermione have (22 in total) account for the remaining 1/4 of the library. So then the whole library is [tex]4*22=88[/tex].

Hey there! I'm happy to help!

When it says f(1), that simply means to look for the x-coordinate 1 and then see what y-value of the function.

If we go to the x-value of 1 and look up a bit, we see where the function is at 1, it is at the y-value of 1!

Therefore, f(1)=1.

Using this, we can see that f(7) is 5, f(0)=2, etc.

Have a wonderful day!

Answer:

no

Step-by-step explanation:

it was slower the way there and if he was going 40 it would have taken the same time to get there as it would have to go back

Answer:

Yes.

Step-by-step explanation:

Reiko's average speed was 80 miles per hour. That is more than 40 miles per hour. Even if it took him longer to drive from A to B, his speed would still be more than 40 miles per hour to have the average speed be 80 miles per hour.

Hope this helps!