how to find scale with area

Answer:

5

028x ·[tex]\frac{1}{5}[/tex]

1) The fraction is given as,

c) The fraction is given as,

d) The fraction is given as,

Answer:

Domain: (-5, ∞)

Range: [-4, 1]

Step-by-step explanation:

Domain is the set of all permissible values of x for the function. The smallest value of x is at x = -5. However note that there is an unfilled circle at x = -5 where y = -1. This means the point(-5, -1) is excluded in the function

The function flattens out at x = 3 and the arrow on the end of the function plot indicates that the x-value of the function goes up to ∞

The domain in interval form is (-5, ∞).
Be careful with the brackets. The regular parentheses ( and ) indicate that the extremes of the interval -5 and ∞ are not included in the interval. ∞ is never included. Such an interval is called an open interval.

The range is the set of y-values for the domain
Looking at the graph we can see that the lowest y value is -4 at x = -2 and it is a valid value for the function so included in the interval

The highest value of y is 1 and it becomes 1 at x =3 but since the plot after x = 2 is horizontal, that means the y value will be 1 for any value x >= 3

Therefore the range of the function is
[-4, 1]

Here note that we are using square brackets to indicate that -4 and 1 are included in the interval. Such an interval is called a closed interval.

Answer:

155

Step-by-step explanation:

125 (1+24%) = 155

During plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.

As given in the question,

During plantation sunflower was 15 inches tall

Rate of growth per week = 2 inches

Let x be the number of weeks and y be the height of the plant.

Required height :

y = 15 + 2x

Change in the height of sunflower after 9 weeks

y =15 +2x

 = 15 + 2(9)

 = 15 +18

  = 33 inches

Therefore, during plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.

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Answer: Neither Im prrtty sure but someone double check me

Given: The equation of a line below

To Determine: The slope and the y intercept

Solution

The general form of slope-intercept form of a line is given as

Let us re-write the given equation in slope-intercept form

Let us compare the derived given equation to the general form

The graph is as shown below

Hence, the slope is 2 and the y intercept is -8

The number of batches of cookies that can be made with 4 pounds of flour is 6 batches.

In order to determine the number of batches of cookies that can be made, divide the amount of flour by the fraction that represents the amount of flour needed for a batch of cookies.

Division is the operation that is used in mathematics to determine the quotient of two or more numbers. It entails grouping a number into equal parts using another number.

Number of batches that can be made = amount of flour ÷ amount of flour needed for one batch

4 ÷ 2/3

4 x 3/2 = 6 batches

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Answer:

If the variable

y

varies inversely as the variable

x

, then we can write this relationship as:

y

∝

1

x

Removing the proportionality sign and adding a proportionality constant, we have:

y

=

k

x

If the value of y is 18 when the value of x is 5, then:

18

=

k

5

k

=

18

×

5

=

90

Thus, the equation showing the relationship between the two variables is:

y

=

90

x

Using the above equation, the value of y when x = 3 is equal to:

y

=

90

3

=

30

The common difference of the arithmetic sequence is found as -10.

For the given question;

The arithmetic sequence is given as;

28, 14,....

Where 28 is the first term; a₁ = 24.

14 is the second term; a₂ = 14.

Then the common difference 'd' is calculated as;

d =  a₂ - a₁

put the values.

d = 14 - 24

d = - 10

Thus, the common difference of the arithmetic sequence is found as -10.

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The most appropriate choice for equation of line in slope intercept form will be given by-

[tex]y = -4x-3[/tex] is the required equation of line

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

Slope of the line = -4

The line passes through (-2 , 5)

Equation of the required line =

[tex]y - 5 = -4(x - (-2))\\y - 5 =-4x - 8\\y = -4x - 8+5\\y = -4x-3[/tex]

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The cups of popcorn that the boys eat in all is 5 1/4 cups.

From the information, Toby, Tyler, and Tim got hungry and decided to share a bag of popcorn and each boy ate 1 3/4 cups of popcorn.

It should be noted that the total popcorn and hat was eaten will be:

= Fraction eaten by each person × Number of people

= 1 3/4 × 3

= 7/4 × 3

= 21/4

= 5 1/4

This illustrates the concept of multiplication of fractions.

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The fraction of the total amound he paid for the 11 books is 3/13.

According to our question-

Hence , The fraction of the total amound he paid for the 11 books is 3/13.

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The graph represents the inequality:

The reason we used strictly less than (<) is that the circle is not shaded. Therefore, the correct inequality has to be either the first or last.

We will simplify the inequalities to see which one is equivalent.

First Inequality:

Expanding the brackets using the distributive property, we have:

Subtracting 20x from both sides, we have:

This is not the inequality.

Last Inequality:

Subtract 5x from both sides:

Subtract 10 from both sides:

Divide both sides by -2. Dividing by a negative number will reverse the sign:

Hence, this is the inequality.

ANSWER: The correct inequality is

The correct description of the graph of the inequality is:

"number line with open circle on point negative 2.2 and arrow shaded to the left"

Here we have the inequality:

p - 3.6 < -5.8

First, we need to solve this, to do so we need to isolate the variable p in one of the sides of the inequality, we will get:

p < - 5.8 + 3.6

p < -2.2

So p is strictly smaller than -2.2, then we will have an open circle at the number -2.2 and a line or arrow that extends to the left.

So the correct option is:

"number line with open circle on point negative 2.2 and arrow shaded to the left"

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Using the inverse operations, the value of h is 54.

An inverse operation can be defined as the operation that undoes what was done by the previous operation.

Therefore, the inverse operation of multiplication is division.

The equation is as follows:

19 = (h/3) - 8

Hence,

add 8 to both sides of the equation

19 = (h/3) - 8

19 + 8 = (h/3) - 8 + 8

27 = h / 3

Multiply both sides of the equation by 3

27 = h / 3

27 × 3 = h / 3 × 3

h = 54

Therefore,

h = 3

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Reflexive property of congruence CPCTC .

When two objects or figures have the same size and shape, the term "congruence" is used to describe it. Congruence has the transitive property, which states that if two sets of lines, angles, or triangles are congruent with a third pair of lines, angles, or triangles, then the first pair of lines, angles, or triangles are also congruent with the third pair of lines, angles, or triangles. As was previously mentioned, the transitive property creates an equivalence relationship between 3 lines, 3 angles, and 3 triangles. According to the definition of the transitive property of congruence in geometry, if any two angles, lines, or forms are, respectively, congruent with a third angle, line, or shape, then the first two angles, lines, or shapes are likewise congruent with the third angle, line, or shape.

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Answer:

The answer to the first box is SSS criterion, im not sure about the second box, i know it isnt ASA criterion, but i hope this helps!

Step-by-step explanation:

The inequality we want to find is:

$40 + $0.08*x ≤  $170

Where x is the number of miles Justin can drive, and the solution is:

x ≤ 1,625

We know that there is a fixed cost of $40 plus $0.08 for every mile driven. So if you rent the car and drive for x miles, the total cost is:

C(x) = $40 + $0.08*x

We know that Justin has at most $170 to spend, so we can write the inequality:

$40 + $0.08*x ≤  $170

Solving this for x, we get:

$0.08*x ≤  $170  - $40

$0.08*x ≤  $130

x ≤  $170 /$0.08  

x ≤ 1,625

So Justin can drive at most 1625 miles with the money he has.

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Answer:

Inequality: 40x+10≤170

Answer: x 4x≤4

Step-by-step explanation:

trust me

Answer:

4 1/2

Step-by-step explanation: First: Pls just trust <333 and Goodluck!! <3

Answer:

Absolute value means taking the positive value, ie drop the negative sign.

Absolute value brackets are: | value |

|(4,-4)| = (4,4)

|(-3,-4)| = (3,4)

Hope that helps

ANSWER:all real numbers less than or equal to 0.

Explanation:

When you reflect a function across the x-axis, you negate every y-coordinate in the function.

In our original function, our y-values will all be positive. Reflecting this across the x-axis will make all of the y-values negative; this means the range, or set of y-values, will be less than or equal to 0.

Answer:

A and D

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

−1<x+3<5

−1+−3<x+3+ −3<5+−3 (Add -3 to all parts)

Therefore your answer is −4<x<2

The equation [tex]y =\frac{x}{c} *\frac{x}{c} *x[/tex] represents a non- linear function.

How is the function of the equation determined?

[tex]y =\frac{x}{c} *\frac{x}{c} *x\\\\y = \frac{x^{3}}{c^{2} }[/tex]

This equation does not make a straight line in a graph. So, the equation represents a non-linear function.(Refer figure for graph)

What is a non-linear function?

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If Emily wants to buy a 22 feet wire and Andy wants to buy a 14 yards wire then their total cost would be $23.04.

The length of a foot is 12 inches. A ruler can be used to calculate the length of a foot, which is usually one foot. The length of a piece of paper is about one foot.

3 feet make up one yard. A yardstick, which is equal to 1 yard, is typically used to measure yards. The length of a baseball bat is about one yard.

Using the conversion Rule we will convert feet into inches that is

22 feet = 264 inches

We will also convert yards into inches that is

14 yards = 504 inches

Total wire they need = 264 + 504 inches

                                   = 768  inches

We have given that

100 inches wires costs = $3

1 inch wire costs = 3/100

768 inch wire costs = (3/100) × 768

                                 = $23.04

Thus, If Emily wants to buy a 22 feet wire and Andy wants to buy a 14 yards wire then their total cost would be $23.04.

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The length of the rectangle whose area is 7 units larger than its perimeter is 13 units.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

Given, Area of a rectangle is 7 units larger than its perimeter.

Assuming the length of the rectangle to be 'l' and the width to be 'w',

and the width is 3 units.

∴ (l×w) = 2(l + w) + 7.

(l×3) = 2(l + 3) + 7.

3l = 2l + 6 + 7.

l = 13 units.

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A Type I error occurs in hypothesis testing when one is rejects the null hypothesis and the null hypothesis is true.

To reject the null hypothesis, statisticians conduct hypothesis testing. However, the process is always accompanied by the possibility of making a mistake. These are referred to as hypothesis testing errors.

Type I and Type II errors are the two mutually exclusive errors in hypothesis testing. Type II errors occur when a statistician fails to reject a false null hypothesis, whereas Type I errors occur when a statistician correctly rejects a genuine null hypothesis. So, c is the right response.

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The average income of those who work more and those who work less tends to be equal

The  null hypothesis is a typical statical theory which suggest that no statical relationship and significance exists in a set of given single observed variable , between two sets of observed data and measured phenomena.

The null hypothesis is significant because it offers a rough description of the phenomena inferred from the available evidence. It enables researchers to empirically test the relationship statement in a study.

Example: The null hypothesis is that the population density is the same across all states.

The average income of those who work more and those who work less tends to be equal

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The probability that the box contains exactly one defective motor.

P(X=1)=0.5225

This is further explained below.

Generally, This follows a Poisson distribution and will be solved using:

[tex]P(X=x)=\frac{e^{-u} u^x}{x !}[/tex]

Where

u = Expected number of occurrences, and it is calculated as:

u=n p

u=60 * 4%

u=60 * 0.04

u=2.4

In conclusion,

[tex]P(X=x)=\frac{e^{-u} u^x}{x !}[/tex]

Therefore

[tex]P(X=1)=\frac{e^{-2.4} 2.4^2}{2 !}[/tex]

P(X=1)=0.5225

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The function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Let x be the number of cards:

The total cost for the card is f(x)

Then f(x) can be framed as:

f(x) = 20 + 0.06x

Or

f(x) = 0.06x + 20

Thus, the function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.

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Considering the angle relations when two parallel lines are cut by a transversal, the measures of the angles are given as follows:

18. <4 = 56º.

19. <3 = 132º.

20. <2 = 55º.

21. <8 = 120º.

22. <6 = 129.5º.

23. <2 = 61.3º.

When two parallel lines are cut by a transversal, there are multiple relations among the angles, which are going to be used to solve this question.

In item 18, the angles 1 and 4 are consecutive interior angles, hence they are supplementary angles, meaning that the measure of angle 4 is found as follows:

<4 + <1 = 180º

<4 + 124º = 180º

<4 = 56º.

In item 19, angles 2 and 3 are also consecutive interior angles, hence:

<2 + <3 = 180º

48º + <3 = 180º

<3 = 132º.

For item 20, angles 2 and 4 are alternate interior angles, hence they are congruent and their measures are given by:

<2 = <4 = <55º.

For item 21, angles 6 and 8 are alternate exterior angles, also being congruent, hence their measures are given as follows:

<6 = <8 = 120º.

For item 22, angles 7 and 6 are same side exterior angles, meaning that they are supplementary, hence:

<6 + <7 = 180º

<6 + 50.5º = 180º

<6 = 129.5º.

For item 23, the relation is the same as item 19, hence:

<3 + <2 = 180º

<2 = 180 - 118.7

<2 = 61.3º.

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