What is the range of y=log8^x
a) all real numbers less than 0
b) all real numbers greater than 0
C)all real numbers not equal to 0
d) all real numbers

Answers

Answer 1

Answer:

Option d) all real numbers

Step-by-step explanation:

we have

[tex]y=\log8^x[/tex]

using a graphing tool

The graph of the equation is a line that represent a direct variation ( the line passes through the origin)

therefore

The domain is all real numbers ---->interval (-∞,∞)

The range is all real numbers ---->interval (-∞,∞)

see the attached figure to better understand the problem

What Is The Range Of Y=log8^x A) All Real Numbers Less Than 0 B) All Real Numbers Greater Than 0 C)all

Related Questions

Eggs are purchased at rs.120per dozen and are sold out at rs.130per dozen.find profit or loss

Answers

Answer:

10rs

Step-by-step explanation:

C.P. - 120  

S.P. - 130  

cp < sp  

120 < 130  

so , profit = sp - cp  

= 130-120  

= 10 rs.

Profit=10rs

please mark me brainiest

Please help me solve this problem, and someone please clearly explain to me how to solve it.

1.) Use the value of the discriminant to determine if the given trinomials has 2 real solutions, 1 real solution, or no real solutions.
a. x2 − 4x − 7 = 0
b. 4r2 + 11r − 3 = 0
c. 3m2 + 7 = 0
d. t2 + 2t + 1 = 0​

Answers

Step-by-step explanation:

For a trinomial ax² + bx + c = 0, the discriminant is b² − 4ac.

If the discriminant is positive, there are 2 real solutions.

If the discriminant is 0, there is 1 real solution.

If the discriminant is negative, there are no real solutions.

a) x² − 4x − 7 = 0

Here, a = 1, b = -4, and c = -7.

b² − 4ac = (-4)² − 4(1)(-7) = 44

The discriminant is positive, so there are 2 real solutions.

b) 4r² + 11r − 3 = 0

Here, a = 4, b = 11, and c = -3.

b² − 4ac = (4)² − 4(11)(-3) = 148

The discriminant is positive, so there are 2 real solutions.

c) 3m² + 7 = 0

Here, a = 3, b = 0, and c = 7.

b² − 4ac = (0)² − 4(3)(7) = -84

The discriminant is negative, so there are no real solutions.

d) t² + 2t + 1 = 0

Here, a = 1, b = 2, and c = 1.

b² − 4ac = (2)² − 4(1)(1) = 0

The discriminant is zero, so there is 1 real solution.

solve for x in the diagrams above.

Answers

Answer: [tex]x=2[/tex]

Step-by-step explanation:

According to the Intersecting Secants Theorem, when two secants intersect each other outside a circle, then the products of their segments are equal.

Based on this, we can write this expression:

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

Knowing this, we can solve for "x". Therefore, this is:

[tex](3)(8)=(4)(4+x)\\\\24=16+4x\\\\24-16=4x\\\\8=4x\\\\\frac{8}{4}=x\\\\x=2[/tex]

 

Alessandro wrote the quadratic equation –6 = x2 + 4x – 1 in standard form. What is the value of c in his new equation?

Answers

ANSWER

[tex]c = 5[/tex]

EXPLANATION

A quadratic equation is said to be in standard form when it is in the form

[tex]a {x}^{2} + bx + c = 0[/tex]

where a, b, c are real numbers.

The given quadratic equation is

[tex] - 6 = {x}^{2} + 4x - 1[/tex]

When we add 6 to both sides, we obtain,

[tex]-6 + 6= {x}^{2} + 4x - 1 + 6[/tex]

[tex] \implies \: 0= {x}^{2} + 4x + 5[/tex]

Or

[tex]\implies \: {x}^{2} + 4x + 5 = 0[/tex]

This is what Alexandra got after he wrote the quadratic equation in standard form.

By comparing this equation to

[tex]a {x}^{2} + bx + c = 0[/tex]

we have a=1, b=4 and c=5.

Find he volume and surface area of the figure. Round to the nearest one hundredth when necessary. Explain please if you can.

Answers

Answer:

[tex]\large\boxed{V=3780\ in^3}\\\boxed{S.A.=1827\ in^2}[/tex]

Step-by-step explanation:

The formula of a volume of a prism:

[tex]V=BH[/tex]

B - base area

H - height

In the base we have the right triangle. The formula of an area of a right triangle:

[tex]A=\dfrac{(a)(b)}{2}[/tex]

a, b - legs

We have a = 14in and b = 22.5in. Substitute:

[tex]B=\dfrac{(14)(22.5)}{2}=157.5\ in^2[/tex]

H = 24in.

Calculate the volume:

[tex]V=(157.5)(24)=3780\ in^3[/tex]

The Surface Area:

We have

(1) two right triangles with area 157.5 in²

(2) three rectangles 24 in × 14 in, 24 in × 22.5 in, 24 in × 26.5 in.

Calculate the areas of the rectangles:

[tex]A_1=(24)(14)=336\ in^2\\\\A_2=(24)(22.5)=540\ in^2\\\\A_3=636\ in^2[/tex]

The Surface Area:

[tex]S.A.=2B+A_1+A_2+A_3\\\\S.A.=(2)(157.5)+336+540+636=1827\ in^2[/tex]

Please help I’m terrible at math

Answers

Answer:

1.25

Step-by-step explanation:

Calculate the scale factor as the ratio of corresponding sides of the image to the original.

here the corresponding sides are

image = 5 and original = 4

scale factor = [tex]\frac{5}{4}[/tex] = 1.25

Anyone know what the area would be?​

Answers

Answer:

Step-by-step explanation: The first step is to divide this shape into multiple other shapes. First, let's start with the smaller rectangle. It has a height of 10 centimeters and a width of 9 centimeters, giving us 90 centimeters in total.

Now, lets do the bigger rectangle. The height is 12 centimeters, and the width is 24 centimeters. [tex]12*24=288[/tex]

[tex]288+90 = 378[/tex], so our answer will be 378.

What is the axis of symmetry of the function below?

Answers

Answer:

A

Step-by-step explanation:

Between 4 and 5 where the vertex is. The axis of symmetry is a line going through the vertex. For a while it will be of the form x = a

In this case, the axis of symmetry is x = 4.5

What is the measure of STR?

Answers

The measurement of STR is 24 degrees
Final answer:

The term STR is not sufficiently defined in the question. It could represent a mathematical concept, an angle in geometry, or a term in physics or engineering. Without any context, it's not possible to give a precise answer.

Explanation:

It appears that there is some confusion in your question, as the term STR is not sufficiently defined. In general, STR could refer to a mathematical concept, a geometric angle, or a term in engineering. However, without context, it's challenging to provide a correct answer.

If STR represents 'Stress', 'Tensile Ratio', or 'Tensile Strength Ratio' in an engineering sense, it would refer to a measure of deformation due to tension. If STR stands for an angle in a triangle, it would need the triangle's full details to be calculated properly. It would be more beneficial if you could provide added context, so I could give you a more accurate response.

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The solution to the system of equation below is (−2, −1).

2x − 3y = −1
11x − 9y = −13

When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.



Which system of equations will also have a solution of (−2, −1)?

Answers

Answer:

x = -2, y = -1 → (-2, -1)

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}2x-3y=-1&\text{multiply both sides by (-3)}\\11x-9y=-13\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-6x+9y=3\\11x-9y=-13\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad5x=-10\qquad\text{divide both sides by 5}\\.\qquad x=-2\\\\\text{put the value of x to the first equation:}\\\\2(-2)-3y=-1\\-4-3y=-1\qquad\text{add 4 to both sides}\\-3y=3\qquad\text{divide both sides by (-3)}\\y=-1[/tex]

Answer:

A on edge

Step-by-step explanation:

Jst tryna get this doneee

Answers

Answer:

Debit Card

Step-by-step explanation:

It is not a credit card, but you can use it to purchase anything, but you have your own money to use. Credit cards are used to purchase anything as well, but that is the bank's money you are borrowing and eventually, you have to pay them back the EXACT same money.

The type of card that is not really a credit card but is sometimes used for credit purchases is a primary sales credit card.

A primary sales credit card is a type of card that is issued by a merchant or retailer, rather than a bank. It can be used to make purchases at that particular merchant, and the cardholder is typically given a line of credit that they can borrow against. However, primary sales credit cards are not considered to be true credit cards because they are not issued by a licensed financial institution.

There are a few reasons why someone might choose to use a primary sales credit card. One reason is that they may not be able to qualify for a traditional credit card from a bank. Another reason is that primary sales credit cards often offer special benefits, such as discounts on purchases or rewards programs.

However, it is important to be aware of the risks associated with using primary sales credit cards. One risk is that the interest rates on these cards can be very high. Another risk is that the cardholder may be liable for the full balance of their account, even if the merchant goes out of business.

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someone please help. I can’t figure this out: (m+18)/m=5/2

Answers

Answer:

m = 12

Step-by-step explanation:

[tex]\frac{m+18}{m}[/tex]=[tex]\frac{5}{2}[/tex]

2(m+18) = 5(m)

2m + 36 = 5m

2m - 5m = -36

-3m = -36

m = 12

Answer:

Step-by-step explanation:

(m + 18) / m = 5/2

Do you know what cross multiplication is for a proportion? It means that you take the top of one fraction and multiply it by the bottom of the other fraction.

So for this question

5 (top right) * m (bottom left)

and put an equal sign

5*m =

Now take the top left and multiply by the bottom right.

2 * (m + 18)

Now equate the two results.

5m = 2*(m + 18)          Remove the brackets.

5*m = 2*m + 2*18       Combine the right.

5m = 2m + 36             Subtract 2m from both sides.

5m-2m=2m-2m+36    Combine

3m = 36                       Divide both sides by 3

3m/3 = 36/3

m = 12

What property was applied to solve the equation below?
0.36x=-1.8
0.36(= 0.36)x=-1.8(+0.36)
X=-5,
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality

Answers

Answer:division property of equality

Step-by-step explanation: Because 0.36x divided by 0.36 is 1x. -1.8 divided by 0.36 is -5. Couuld you give me brainleist

Answer:

Division Property of Equality

Step-by-step explanation:

Addition Property of Equality :

a = b ⇒ a + c = b + c

Subtraction Property of Equality

a = b ⇒ a - c = b - c

Multiplication Property of Equality :

a = b ⇒ ca = cb,

Division Property of Equality :

[tex]a=b\implies \frac{a}{c}=\frac{b}{c}[/tex],

Here, the given equation is,

0.36x=-1.8,

For finding the value of x we need to isolate x,

For this we must divide both sides by 0.36,

That is, we were applied 'Division Property of Equality'.

Complete the solution table from left to right for the quadratic function
y=X^ - X-12.

X-5 -3 -1 2
y

OA) 18,0, -10, -10

8,
B) -6, -12,-6

c) 18,0 ,—10, 10
8,
D)-6, -12,6​

Answers

Answer: A) [tex]18, 0, -10, -10[/tex]

Step-by-step explanation:

Given the quadratic function [tex]y=x^2-x-12[/tex], you need to substitute each value of "x" into the function to find the corresponding value of "y":

For [tex]x=-5[/tex]:

[tex]y=(-5)^2-(-5)-12\\\\y=18[/tex]

For [tex]x=-3[/tex]:

[tex]y=(-3)^2-(-3)-12\\\\y=0[/tex]

For [tex]x=-1[/tex]:

[tex]y=(-1)^2-(-1)-12\\\\y=-10[/tex]

For [tex]x=2[/tex]:

[tex]y=(2)^2-(2)-12\\\\y=-10[/tex]

The correct option is: A

Solve the equation 9b2 + 30b + 25 = 0.

A. b = –5⁄3
B. b = –3⁄5, b = 3⁄5
C. b = –5⁄3, b = 5⁄3
D. b = 5⁄3

Answers

Factor the equation into...
(3b+5)(3b+5)=0
Each factor 3b+5=0 so 3b=-5 so b=-5/3

Check:
9(-5/3)^2+30(-5/3)+25=
9(25/9)-50+25=
25-50+25=0
It checks,

So answer is A.-5/3

The width of a rectangle is 30% of the length. The perimeter of the rectangle is 338 ft. Find the length and width of the rectangle

Answers

Answer:

L=130 while W=39

Step-by-step explanation:

Let's setup some equations.

W=.3L  from first sentence

2L+2W=338 from second sentence

I'm going to plug equation 1 into equation 2:

2L+2[.3L]=338

2L+.6L=338

2.6L=338

L=338/2.6

L=130

so W=.3L=.3(130)=39

Answer L=130 while W=39

Length of the rectangle = 130

Width of the rectangle = 39.

How to find the length and width of the rectangle?

Given: that the width of a rectangle exists 30% of the length.

Where Perimeter = 338 ft

Width of the rectangle = 0.3L

Perimeter = 2(Length + Width)

Substitute the value of perimeter in the above equation, we get

2L + 2W = 338

2L + 2[0.3L] = 338

2L + 0.6L=338

2.6L = 338

L = 338/2.6

L = 130

Length of the rectangle = 130

So, Width of the rectangle = 0.3L

= 0.3(130) = 39

The length of the rectangle is 130 and the width of the rectangle is 39.

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Please help I’ll give 13 points

Answers

Answer:

20

Step-by-step explanation:

24/3=8

36/3=12

8+12=20

he'll have 20 3' ropes

the sum of x and 25 is less than 75

Answers

Answer:

Step-by-step explanation:

The sum of x and 25 is less than 75. Inequality form shows x+25<75. To solve x, subtract 25 from both sides. x<50. X must be less than 50.

Find the distance between the given points.

W(0, 8) and X(0, 12)

Distance =

4
4√(13)
10

Answers

Answer:

The distance would be 4 units and you would go 4 to the right

I hope this helps :)

Step-by-step explanation:

Answer: First option

Step-by-step explanation:

The distance between two points is calculated using the following formula

[tex]d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]

In this case we have the following points

W(0, 8) and X(0, 12)

Therefore

[tex]x_1 = 0\\x_2 = 0\\y_1=8\\y_2=12[/tex]

[tex]d=\sqrt{(0-0)^2 +(12-8)^2}[/tex]

[tex]d=\sqrt{(12-8)^2}[/tex]

[tex]d=\sqrt{(4)^2}[/tex]

[tex]d=4[/tex]

what is the y-intercept of the line y= -6x -3?

Answers

Answer:

y = -3 or (0,-3)

Step-by-step explanation:

y intercept is when x is 0 so substitute 0 for x:

y=-6(0)-3=0-3=-3

y = -3

In order to find the y intercept you must substitute 0 for x and solve for y, and also simplify if needed.

[tex]y=-6x-3[/tex]

[tex]y=-6\times0-3[/tex]

[tex]-6\times0-3[/tex]

[tex]y=0-3[/tex]

[tex]-6\times 0 = 0[/tex]

[tex]0-3=-3[/tex]

[tex]= -3[/tex]

[tex]y = (0,-3)[/tex]

Therefore your answer is " y = (0,-3)."

Hope this helps.

Jerry has 48 inches of string. He cuts the string into 8 inch pieces. The letter y shows how many pieces of string he has.

y□8=48
Which operation would complete the equation to model the problem?

Answers

Answer:

y = 6 (pieces)

Step-by-step explanation:

y = (48 inches) / (8 inches per piece) = 6 pieces.

y = 6 (pieces)

Jerry will have to grow 24 more inches in order to reach his max Hight of 72 inches. If you put this into a inequality it would be 48 plus a number is greater that or equal to 72.

48+X_>72

Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?
O 0.6 meters per minute
O 1.5 meters per minute
O 600 meters per minute
O 6,000 meters per minute

Answers

Answer:

=6000 m/min

Step-by-step explanation:

There are 60 seconds in 1 minute.

The speed of the race car is 100 m/s. If it covers 100 m in one second,  then in one minute it will cover a longer distance calculated as follows.

100 m/s × 60 second/min = 6000 m/min

Answer: Last Option

6,000 meters per minute

Step-by-step explanation:

We know that 60 seconds is equal to one minute.

Then we use this data as a conversion factor.

The speed of the car is 100 meters per second, this is:

[tex]s = 100\ \frac{meters}{seconds}[/tex]

Now we multiply this amount by the conversion factor in the following way:

[tex]100\ \frac{meters}{second} * \frac{60\ second}{1\ minute}= 6000\ \frac{meters}{minute}[/tex]

The answer is:

6,000 meters per minute

caroline can sketch 2 cartoon strips in 5 hours. how long will it take her to sketch 4 strips

Answers

Answer:

10 hours.

Step-by-step explanation:

2 cartoon strips takes 5 hours

divide 5 by 2 to give us how much time is used for 1 strip

5/2 = 2.5 which is equal to 1 strip

Now the question is asking you how much will time for 4 strips?

Take 4 and multiply it by 2.5

4x2.5 = 10

Final answer:

Caroline sketches at a rate of 2 strips in 5 hours, so to sketch 4 strips, which is twice as many, it will take her twice the time, resulting in 10 hours.

Explanation:

To calculate how long it will take Caroline to sketch 4 cartoon strips, we first determine her rate of sketching, which is 2 strips in 5 hours. Therefore, her rate is 2/5 strips per hour. To find out how long it takes to sketch 4 strips, we can set up a proportion where the number of strips is directly proportional to the hours spent. Since she sketched 2 strips in 5 hours, sketching 4 strips will be twice the amount of strips, thus it should take her twice the time, hence 5 hours times 2. Therefore, Caroline will take 10 hours to sketch 4 strips.

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The Green family is a family of six people. They have used 4,885.78 gallons of water so far this month. They cannot exceed 9,750.05 gallons per month during drought season. Write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.

Answers

Answer:

The inequality is  [tex]6x+4,885.78\leq 9,750.05[/tex]

[tex]x\leq 810.71\ gal[/tex]

Step-by-step explanation:

Let

x -----> amount of water that can be used by only one family member for the rest of the month

we know that

[tex]6x+4,885.78\leq 9,750.05[/tex]

Solve for x

Subtract 4,885.78 both sides

[tex]6x\leq 9,750.05-4,885.78[/tex]

[tex]6x\leq 4,864.27[/tex]

Divide by 6 both sides

[tex]x\leq 4,864.27/6[/tex]

[tex]x\leq 810.71\ gal[/tex]

Answer:

Each member can use, x = 810.71 gallons of water for the remaining month.

The equation is 6x + 4885.78 [tex]\leq[/tex] 9750.05

Step-by-step explanation:

Total number of members in Green's family = 6

Let one member uses = x gallons of water

Therefore six member will use = 6x gallons of water

Given the Green's family can use only 9750.05 gallons of water in one month. And they have use so far 4885.78 gallons of water.

Therefore the equation becomes

6x + 4885.78 [tex]\leq[/tex] 9750.05

6x [tex]\leq[/tex] 9750.05 - 4885.78

6x [tex]\leq[/tex] 4864.27

x [tex]\leq[/tex] 4864.27 / 6

x [tex]\leq[/tex] 810.71 gallons

Hence, the equation is 6x + 4885.78 [tex]\leq[/tex] 9750.05

and each member can use 810.71 gallons of water for the remaining days of the month.

lynomials and Linear Factors
Text to Speech
Type your answer and then click or tap Done.
Write the polynomial function y = (x + 5) (x - 1)(x - 2) in
standard form.

Answers

Answer:

y = x³ + 2x² - 13x + 10

Step-by-step explanation:

Given

y = (x + 5)(x - 1)(x - 2) ← expand (x - 1)(x - 2)

  = (x + 5)(x² - 2x - x + 2)

  = (x + 5)(x² - 3x + 2)

Multiply each term in the second factor by each term in the first factor

= x(x² - 3x + 2) + 5(x² - 3x + 2) ← distribute both parenthesis

= x³ - 3x² + 2x + 5x² - 15x + 10 ← collect like terms

y = x³ + 2x² - 13x + 10

Which of the following lists of ordered pairs is a function?
A. (1, 2), (1,-2), (3, 2), (3, 4)
B. (1,6), (2, 7),(4,9), (0,5)
C. (0, 2), (2,3), (0, -2), (4,1)
D. (2, 4), (0, 2), (2, - 4), (5,3)

Answers

Answer:

B

Step-by-step explanation:

A. (1, 2), (1,-2), (3, 2), (3, 4)

B. (1,6), (2, 7),(4,9), (0,5)

C. (0, 2), (2,3), (0, -2), (4,1)

D. (2, 4), (0, 2), (2, - 4), (5,3)

Theres no repeating x value.

B. (1,6), (2, 7),(4,9), (0,5) this ordered pairs is a function.

What is a mathematical function?

In mathematics, an expression, rule, or law defines the relationship between one variable (independent variable) and another (dependent variable). Functions are ubiquitous in mathematics and are essential for formulating the physical relationships of the natural sciences.

The types of functions can be broadly classified into four types. Based on elements: one-to-one function, many-to-one function, on-function, one-to-one and on-function, in-function. You can set the relationship as a table of ordered pairs. Then test that each element in the domain exactly matches one element in the range. If so, you have the feature!

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What is the solution to the following system?
X+ 2y + Z = 9
x-y+ 3z = 13
2z= 10

Answers

Answer:

[0, 2, 5]

Step-by-step explanation:

Find z, plug in 5 for every "z" you see, then solve by Elimination to find y and x.

Final answer:

The solution to the given system of linear equations is x = 1, y = 3, z = 5. The problem is resolved by first solving the simplest equation and using its answer to simplify and solve the next, allowing us to find the final answers.

Explanation:

To solve the given system of linear equations, we need to find the values for variables x, y and z that satisfy all the three equations. Start by solving the simplest equation which is '2z = 10'. By dividing both sides by 2, we find that z = 5.

Next, substitute z = 5 into the other two equations. The first equation 'x + 2y + z = 9' becomes 'x + 2y + 5 = 9', which simplifies to x + 2y = 4. The second equation 'x - y + 3z = 13', becomes 'x - y + 3*5 = 13', simplifying to x - y = -2.

We now have two equations with two variables, which we can solve simultaneously. By adding the equations together '(x + 2y = 4) + (x - y = -2)', we get 2x + y = 2, hence, x = 1. Substituting x = 1 into 'x - y = -2' yields y = 3.

Therefore, the solution to the system is x = 1, y = 3, z = 5.

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What is the slope of a line that is perpendicular to the line 2y - 3x = 87​

Answers

Answer:

-2/3

Step-by-step explanation:

We need to put in slope intercept form..

Once we identify the slope of the line given, we can find the slope of the perpendicular line which is the opposite reciprocal of the slope for the given equation:

Let's do this:

2y-3x=86

add 3x on both sides to get 2y by itself

2y=3x+86

divide both sides by 2

y=3/2 x+43

So the slope is 3/2

The opposite reciprocal of 3/2 is -2/3 .

The answer is -2/3

What is the area of parallelogram ABDC

Answers

Each triangle has an area of 4.5 and there are 2 triangles, so the answer is 9.

Answer:

9 cm

Step-by-step explanation:

Find the area of the 1st triangle

A=1/2 b*h

1/2 3*3

1/2 9

4.5

Find the area of the 2nd triangle

A=1/2 b*h

1/2 3*3

1/2 9

4.5

Both triangles have an area of 4.5

To find the area of the parallelogram you have to add the area of the triangles

4.5+4.5=9

A= 9 cm


Consider triangle PQR. What is the length of side QR?

8 units
units
16 units
units

Answers

Answer: 16 units

Step-by-step explanation:

Other Questions
Which of the following values have 3 significant figures? Check all that apply.A. 10.1B. 100.05C. 120D. 129 Religious beliefs of indigenous peoples of Oceania connected them to a community group sells 2000 tickets for its raffle. the grand prize is a car. neil and 9 of his friends buy 10 tickets each. when the winning number is announced, it is found to belong to neil's group. given the information, what is the probability that the ticket belongs to neil? what Ransomeware mean Geometry teacher Plz help me Which type of group leadership has a communication pattern that flows from the top down?AuthoritarianDemocraticLaissez-faireExpressive On what political idea did President Truman base the Marshall Plan?A) As prosperity in Europe increased, the threat of communism spreading would decrease.B) As peace throughout the world increased, the threat of another world war would decrease.C) As the power of capitalism increased in Europe, Stalin's power in the Soviet Union would decrease.D) As economic aid increased in Europe, the friendship of nations with the United States would increase. Eric wants to sell his car that he paid $7,000 for 3 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 3-year period. If x represents the monthly depreciation amount, which expression shows how much Eric can sell his car for today?A.7,000 3xB.7,000 + 3xC.7,000 36xD.7,000 + 36x 20. The perimeter of a square is 72 in. What is its area? 72 in2 324 in2 18 in2 5,184 in2 simplify the equation 11-1 [19- (2+15)] Which of the following number sentences is an example of the identity property of addition?16 0 = 08 + 0 = 81 4 = 41 + 11 = 11 + 1 What is the primary setting and action of Book 13 of the Odyssey?A.Calypso capturing Ulysses on OgygiaB.Telemachus traveling to Spartac.Ulysses retuming to IthacaD.Ulysses traveling in disguise to Crete PLEASE HELPdivide. (3x-2)(x-4)-(x-4)(6-5x)/(4-x)(8x-1) Temperature is defined as a. the equivalent of heat. b. a measure of the average kinetic energy of the individual atoms or molecules composing a substance. c. how hot or cold it is. d. the total kinetic energy of the atoms or molecules composing a substance. e. None of the above is correct. Harry said to Marge, "I have a ring once owned by Marilyn Monroe. Would you like to buy it for $500?" Marge pays for the ring, but the next day a friend tells her that Harry had recently purchased the ring at a local department store. Marge enjoys wearing the ring and wears it constantly for twelve months. Finally, she goes to Harry and says, "Here is the ring you lied about. Give me my $500." Most likely Marge will: a. not get her money back since she should have investigated the facts about the ring more carefully. b. not get her money back since she has affirmed the contract by taking an unduly long time to disaffirm. c. get her money back since Harry's representation was fraudulent. d. get her money back since she is a good faith purchaser of merchandise how can mutation in a gene lead to a new trait in an organism ? Which of the following occupations is a person of power most likely to have in an information society?Software engineerCoal minerChildrens book authorSharecropper which branch of the government makes sure the laws are followed Answer: the executive branch Which statement best describes the system of sharecropping? What caused the peasent war