Identify the equation that translates y = l n (x) five units down. y = l n (x minus 5) y = l n (x) + 5 y = l n (x + 5) y = l n (x) minus 5

Answers

Answer 1

Answer:

y=ln(x) minus five

Step-by-step explanation:

y=ln(x) five units down

Five units down could mean minus five(-5)

The expression can be written as

y=ln(x)-5

That is,

y=ln(x) minus five

Answer 2

The equation that translates y = ln(x) 5 units down is y' = ln(x) - 5

How to determine the equation?

The function is given as:

y = ln(x)

When translated down by 5 units, the rule of translation is:

(x, y) => (x, y - 5)

So, we have:

y' = ln(x) - 5

Hence, the equation that translates y = ln(x) 5 units down is y' = ln(x) - 5

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Related Questions

Work out ( 4 × 10 6 ) × ( 2 × 10 7 ) Give your answer in standard form.

Answers

Answer:

4 * 2 = 8

10^6 * 10^7 = 10^(6 + 7) = 10^13

Answer is 8 * 10^13

So I'm pretty sure I solved a similar question before, but we always write the equation first.

So, equation:

(4 × 10^6) × (2 × 10^7)

Again, we will use the order of operations.

() - Parenthesis

^x - Exponents

×/÷ - Multiplication/Division

+/- - Addition/Subtraction

Now, solve the parenthesis. We have two parentheses, so we will solve those separately.

(4 × 10^6)= 4 × 1,000,000 = 4,000,000

(2 × 10^7)= 2 × 10,000,000 = 20,000,000

Now, multiply these two together.

4,000,000 × 20,000,000 = 80000000000000

BUT, we can simplify this. So, the real answer is:

8 × 10^13

Write 18-2 square root of -9 in the form of a+bi

Answers

Answer:

[tex]18+(-2)(\sqrt{-9})[/tex] or [tex]18-2\sqrt{9}[/tex]

Step-by-step explanation:

There are 4 red marbles and 3 blue marbles in a bag. Once a marble is drawn it is not replaced. Find the probability of drawing two red marbles in a row.

Answers

Answer:

2/7

Step-by-step explanation:

4 red marbles and 3 blue marbles in a bag = 7 marbles

P(red) = red/total = 4/7

No replacement

3 red marbles and 3 blue marbles in a bag = 6 marbles

P(red) = red/total = 3/6 = 1/2

P(red, no replacement, red) = 4/7 * 1/2 = 2/7

Lana has a bowl of marbles the bowl contains 5 green marbles,3 red marbles and 2 blue marbles from the bowl one at a time. What is the probability that lana will select a green marble first, replace the marble, then select a red marble

Answers

Answer:

3/20

Step-by-step explanation:

5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles

P( green) = green/total = 5/10 = 1/2

Replace

5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles

P( red) = red/total = 3/10

P(green,replace, red) = 1/2 * 3/10 = 3/20

2x-6+17=9

Explain the answer and why plz

Answers

Answer: x = -1

Step-by-step explanation:

2x - 6 + 17 = 9

Subtract 17 from both sides

2x - 6 = -8

Add 6 to both sides

2x = -2

Divide by 2 on each side

x = -1

Given that 5 x − 3 y = 32 Find y when x = 4

Answers

Answer:

y=-4

Solution,

X=4

Now,

[tex]5x - 3y = 32 \\ or \: 5 \times x - 3y = 32 \\ or \: 5 \times 4 - 3y = 32 \\ or \: 20 - 3y = 32 \\ or \: - 3y = 32 - 20 \\ or \: - 3y = 12 \\ or \: y = - \frac{12}{ 3} \\ y = - 4[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

y = 16/3 or 5.333333...

Step-by-step explanation:

5x - 3y = 4

→ Substitute the value of x = 4 into the expression

(5 × 4) - 3y = 4 ⇔ 20 - 3y = 4

20 - 3y = 4

→ Minus 20 from both sides to isolate -3y

-3y = -16

→ Divide both sides by 3 to isolate y

y = 16/3 or 5.333333...

Pls help as fast as possible

Answers

Answer:

452.389342 cubic inches

Step-by-step explanation:

The volume of a sphere is calculated using the formula V = 4/3 pi r^3

to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.

from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.

Note that this is only the volume of 1 sphere, so we multiply by 4

and we get 452.389342 cubic inches

Answer:

452.4

Step-by-step explanation:

Radius of each sphere: 24/4/2=3

Formula for volume: (4pir^3)/3

Formula for 4 spheres: 4 times (4pir^3)/3

Substitute 3 for r

BC = -2x+85 BD = 5x-48 What is the length of BC?

Answers

Answer:

-2x + 85 = 5x - 48

85 = 7x - 48

7x = 133

x = 19

BC = -2(19) + 85

BC = -38 + 85

therefore, BC = 47

Step-by-step explanation:

the answer i got was 47

Find the volume of the prism.
13ft 7ft

Answers

Answer:

the volume of the prism is VOLUME=BASE*HEIGHT

Step-by-step explanation:

SO it's ,

13*7=91ft

Answer:

591.5 ft^3

Step-by-step explanation:

Complete each proof. Remember to mark the diagram as you go. You may not need all the rows.

Answers

Answer:

did u ever get hte answers for this ?

Point B ∈ AC so that AB : BC = 2:1. Point D ∈ AB so that AD : DB = 3:2. Find AD : DC.

Answers

Answer:

AD :  DC is 2:3

Step-by-step explanation:

The parameters given are;

Point B ∈ AC

AB : BC = 2:1

Point D ∈ AB

AD : DB = 3:2

Therefore, whereby we sum the ratios, we have;

For AC

AB = 2/(2+1)×AC = 2/3×AC

BC = 1/3×AC

For AB

AD = 3/(3+2)×AB = 3/5×AB

DB = 2/5×AB

We are required to find AD:DC

Given that AD = 3/5×AB and AB =  2/3×AC

We have;

AD = 3/5×2/3×AC = 6/15 AC

DC = DB + BC =  2/5×AB + 1/3×AC = 2/5×2/3×AC + 1/3×AC = 4/15×AC + 1/3×AC

DC = 3/5×AC

AD :  DC = 6/15 AC : 3/5×AC = 2:3.

URGENT! WILL GIVE BRAINLIEST!! The graph shows the data of texting speed according to time.A graph has time (minutes) on the x-axis and texting speed (words per minute) on the y-axis. Points are at (1, 14), (1, 18), (2, 10), (2, 15), (2, 17), (3, 14), (4, 10), (4, 15), (5, 6), and (5, 10).Use the scatter plot to determine if there is a relationship. If there is a relationship, explain it.Yes, there is a relationship. As time increases, texting speed increases.Yes, there is a relationship. As time increases, texting speed decreases.Yes, there is a relationship. As texting speed increases, time increases.No, there is no relationship displayed.

Answers

Answer: Yes, there is a relationship. As time increases, texting speed decreases.

Step-by-step explanation:

that is for the people looking for the correct answer.

The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

What is a scatter plot?

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.


Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

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(07.06 MC) What is the solution to the equation 1.2m − 0.8 = −2.0m? m = 0.25 m = 0.4 m = 1 m = 4

Answers

Answer:

m = 0.25

Step-by-step explanation:

-0.8 = -3.2m

m = 0.25

Answer:

0.25 :)

Step-by-step explanation:

What is the coefficient of the variable in the expression 4 − 3x − 7 + 6? −7 −3 4 6

Answers

Answer:

-3

Step-by-step explanation:

Variables are letters which are used to represent particular unknown quantities in equations.

Now the variable in this question is x.

When we talk about coefficient , we mean the number before the variable in question.

We can see that the variable is written as -3x

-3 is the value before the variable so we can agree that -3 is its coefficient

Answer:

its -3, i took the test

Have a great day!!

Step-by-step explanation:

Convert 28 ounces to pounds. Express your answer in simplest form. a. 2 1/4 pounds b. 1 12/16 pounds c. 1 4/7 pounds d. 1 3/4 pounds

Answers

Answer:

1.75 pounds

Step-by-step explanation:

28 divided by 16 = 1.75!

Hope it helps!

Answer:

1.75 pounds or 1 3/4 pounds

Step-by-step explanation:

28/16 = 1.75

the top of two poles of height's 20m and 14m are connected by the wire
if the wire makes an angle 30 degree with the horizontal then length of the wire is
8m
10m
12m

Answers

Answer:

The correct option is;

10 m

Step-by-step explanation:

The parameters given are;

Height of the first pole = 20 m

Height of the second pole = 14 m

The angle the wire connected to their top makes with the horizontal = 30°

The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.

Let the horizontal distance between the two poles = D

Therefore;

The horizontal length of the wire = D

From trigonometric ratios, we have;

[tex]tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}[/tex]

Which gives;

[tex]D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m[/tex]

The correct option is 10 m.

3 7 of students at a school are boys. If there are 2282 students at the school, how many are girls? plz help me

Answers

Answer:

2245

Step-by-step explanation:

2282-37=2245

2245 students are girls

Answer:

1304

Step-by-step explanation:

3/7 of students are boys

total students= 2282

girls are 1-3/7= 4/7 of all students

girls= 2282*4/7= 1304

use the elimination method to solve 4x+8y=16 4x-8y=0

Answers

Answer:

x=2, y=1

Step-by-step explanation:

4x+8y=16

4x-8y=0

Add the two equations together:

8x=16

Divide both sides by 8:

x=2

Plug this back into one of the original equations to find y:

4(2)-8y=0

8-8y=0

y=1

Hope this helps!

Answer:

x, y = (0, 0)

Step-by-step explanation:

photo math broo

0.000000205
In standard form

Answers

Answer:

2.05 × 10⁷

Step-by-step explanation:

0.000000205

We'll move the decimal point after the first non-zero digit (as per the scientific notation rules) and the standard form would be :

=> 2.05 × 10⁷

Answer:

205 × [tex]10^{-9}[/tex]

Step-by-step explanation:

[tex]10^{-9} = 0.000000001[/tex]

0.000000001 × 205 = 0.000000205

Please help me!!!!!!!!! thanks!

Answers

Answer:

4.19 units^3

Step-by-step explanation:

The volume formula for spheres is [tex]V = \frac{4}{3} r^3[/tex]

If you plug in the radius which is 1 in this problem you'll get the volume of the sphere.

Answer: 4.19 cu. units

Step-by-step explanation:

Volume of a sphere = 4/3πr^3

= 4/3 x 3.14 x 1^3

= 4/3 x 3.14 x 1

= 4.19 cu. units

Solve - 2/3 x > 8 or - 2/3 x < 4.

Answers

Answer:

Brainliest? I solved both!

Step-by-step explanation:

PLEASE ANSWER ASAP!!!!! DONT NEED much explanation How many solutions does this system have? (photo below)

Answers

Answer:

infinite solutions

Step-by-step explanation:

Multiply the first equation by 2

2(3x-5y) = 2*15

6x - 10y = 30

This is the same as the second equation

They are the same line

This means there are infinite solutions

a right angle triangle has the perimeter of 96cm. the length of its sides are in the ratio of 6:8:10. work out the area of the triangle

Answers

Answer:

384 centimeters squared.

Step-by-step explanation:

96/(6+8+10)

96/24 = 4

6×4 : 8×4 : 10×4

24:32:40

The length of its sides are in the ratio of 24:32:40

The longest side is the hypotenuse which is 40.

The area is base × height × 1/2 of a triangle.

32 × 24 × 1/2

768 × 1/2

=384

The area of the triangle is 384 cm squared.

Answer:

Area = 384 cm²

Step-by-step explanation:

Perimeter = 96 cm

Ratio = 6:8:10

So,

6x+8x+10x = 96

=> 24x = 96

Dividing both sides by 24

=> x = 4

So, The sides are

=> 24 cm

=> 32 cm

=> 40 cm

Now the area using Heron's Formula

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is the semi-perimeter = 48 cm, a , b and c are the sides

Area = [tex]\sqrt{48(48-24)(48-32)(48-40)}[/tex]

Area = [tex]\sqrt{48(24)(16)(8)}[/tex]

Area = [tex]\sqrt{147,456}[/tex]

Area = 384 cm²

The mapping of DEFG to D'E'F'G' is shown. 2 parallelograms have identical side lengths and angle measures. The second parallelogram is a reflection of the first. Which statements are true regarding the transformation? Check all that apply. EF corresponds to E'F'. FG corresponds to G'D'. ∠EDG Is-congruent-to ∠E'D'G' ∠DEF Is-congruent-to ∠D'E'F' The transformation is not isometric. The transformation is a rigid transformation.

Answers

Answer:

(A)EF corresponds to E'F'

(C)∠EDG Is-congruent-to ∠E'D'G'

(D)∠DEF Is-congruent-to ∠D'E'F'

(F)The transformation is a rigid transformation.

Step-by-step explanation:

Given:

Parallelogram DEFG is mapped to D'E'F'G'DEFG and D'E'F'G' have identical side lengths and angle measures.

The following applies:

EF corresponds to E'F'∠EDG Is-congruent-to ∠E'D'G'∠DEF Is-congruent-to ∠D'E'F'

Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:

The transformation is a rigid transformation.

Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.

FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'

Answer:

1346

Step-by-step explanation:

if 25 tickets cost $50, find the cost of 1 ticket ​

Answers

Answer:

$2

[tex]solution \\ cost \: of \: 25 \: ticket = 50 \\ cost \: of \: one \: ticket = \frac{50}{25} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2[/tex]

hope this helps..

Good luck on your assignment

$2.00

25 tickets cost 50.00 dollars.

The cost of 1 ticket would be:

50/25=2

2.00 dollars to be precise.

The weights (lbs.) of the 5 offensive linemen for the High School football team are as follows: 215, 225, 285, 260, and 250. The median weight is:

A)205 lbs

B)250 lbs.

C)247 lbs.

D)None of these choices are correct.

Answers

The correct answer is: C. 247

Add all of the weights

215 + 225 + 285 + 260 + 250 = 1235

Divide the total weight by the number of weights given


1235/5 = 247

Factor completely 9x2 + 42x + 49

Answers

Answer:

(3x + 7)²

Step-by-step explanation:

You can either factor it by GCF or guess and check. The question you should be asking when you try to factor is"What multiplies to 49 and adds up to 42 with coefficients 3 in front of the x?" When you answer this question, you should think of 7 and 7. You then put it in binomial form and you have your answer.

Answer: (3x + 7)^2

Step-by-step explanation:

9x^2 + 42x + 49

3^2x^2 + 2 * 3x * 7 + 7^2

3x^2 + 2 * 3x * 7 + 7^2

(3x + 7)^2

Nikolas and his son, and Peter with his son, went fishing. Nickolas caught as many fish as did his son. Peter caught three times as many as his son did. Altogether they caught 35 fish. Nikolas' son's name is Gregory. What is the name of Peter's son? How many fish did each of them catch?

Answers

Step-by-step explanation:

4unit is 35

1unit is 35/4 which is 8.75

I need mega help I can't get it wrong

Answers

Answer:

4320 square inches

Step-by-step explanation:

Area of a rectangle is base times height. You need to convert 3 yards to inches in order to multiply for the area. Since 1 yard is equal to 36 inches, 4 yards is 4*36 = 144 inches. Now you multiply 30 * 144 to get 4320, which is your answer.

Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the phone. If he talks to her at school, he's 90% likely to ask hem
to a party. However, he's only 60% likely to ask her over the phone.
This is the tree diagram that represents the probability of Thomas inviting Madeline to a party.

What is the probability of Thomas inviting Madeline to the party over the phone?

Answers

Answer:

The probability of Thomas inviting Madeline to the party over the phone is 0.143.

Step-by-step explanation:

Consider the tree diagram below.

The events are denoted as follows:

A = Thomas bumps into Madeline at school

B = Thomas call Madeline on the phone

X = Thomas asks Madeline to the party

The information provided is:

P (A) = 0.80

P (B) = 1 - P (A) = 1 - 0.80 = 0.20

P (X|A) = 0.90

⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10

P (X|B) = 0.60

⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40

The conditional probability of event U given that another events V has already occurred is:

[tex]P(U|V)=\frac{P(V|U)P(U)}{P(V)}[/tex]

The law of total probability states that:

[tex]P(V)=P(V|U)P(U)+P(V|U')P(U')[/tex]

In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).

Use the law of total probability to determine the value of P (X) as follows:

[tex]P(X) = P(X|A)P(A)+P(X|B)P(B)[/tex]

         [tex]=(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84[/tex]

Compute the value of P (B|X) as follows:

[tex]P(B|X)=\frac{P(X|B)P(B)}{P(X)}[/tex]

             [tex]=\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143[/tex]

Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.

Answer:

84%

Step-by-step explanation:

Its the correct answer

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