Which of the h values are solutions to the following equations? h^2=0.36

The equation

has two variables: x and y.

And since we have only one equation, the variables have infinite possible values, which are related to that equation.

Another way of seeing that is by calling x the independent variable, and then y will be the dependent variable (its value depends on the value of x).

So, we can isolate y on the left side of the equation, to obtain:

Now, we see that the above equation represents a line (an infinite set of points), that has a slope -3 and a y-intercept 5.

Therefore, all the points on that line are solutions to the given equation.

If we graph that set of solutions on a xy-plane, we obtain the line below:

The graph best represents this relationship of the scale model of a statue is B.

For the given question;

On the model 2 inches represents 1 foot on the actual statue.

Thus, model 4 inches represents 2 foot on the actual statue.

This is given by graph B.

Thus, the graph best represents this relationship of the scale model of a statue is B.

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We were told that Wesley willed his estate to Margaret, Betty Jo, and Johnny.

Given that he gave Margaret $20,000. Betty Jo got 22 times as much as Margaret, it means that the amount the at Betty Jo got is 22 * 20000 = 440000

Given that Johnny got 32 times as much as Margaret, it means that the amount that Johnny got is

20000 * 32 = 640000

Therefore, the total value of the estate is

20000 + 440000 + 640000 = 1100000

The total value of the estate is $1,100000

Answer:

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

Two of the vertices are on horizontal line with same y-coordinate of 3.

These two vertices form the base of the triangle which is:

The height is the difference of the y-coordinates of the third vertex with the first two:

7x - 18

The given expression is:

3 (x - 6) + 4x

Open the brackets by expanding the expression

3x - 18 + 4x

Combine like terms

3x + 4x - 18

7x - 18

b) -2

Hey! Let's help you with out with this question!

Alright! So! We're trying to figure out the slope of the table. And how do we do that? Well, there is actually a formula that can help us here! And that is using the slope between two points.

The formula is as follows:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

It allows us to figure out the slope by taking two coordinate points and sub them into the formula to find m, which in this case is the slope!

Let's use this equation twice, we do this to make sure that the slope is consistent throughout the table.

The first two points are:

Now, we apply the formula as such:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{30-36}{6-3}[/tex]

[tex]m=\frac{-6}{3}[/tex]

[tex]m=-2[/tex]

Alright, so we have a slope [tex]m=-2[/tex] for the first two points! Let's check if the last two points have the exact same slope as well!

The last two points are:

We apply the formula again!

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{18-24}{12-9}[/tex]

[tex]m=\frac{-6}{3}[/tex]

[tex]m=-2[/tex]

Well, what do you know? Given our application of the slope between two points, we get a common answer [tex]m=-2[/tex]. So, therefore, it would be b) [tex]m=-2[/tex]

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The two circles are said to be similar because they undergo a rigid transformation that does not change its shape.

A similarity transformation is defined as one or more rigid transformations (reflection, rotation, translation) followed by a dilation. Now, when a figure is transformed using a similarity transformation, an image is created that is similar to the original figure. This means that, two figures are similar if a similarity transformation will map  the first figure to the second figure.

By definition of similarity transformation, looking at the given diagram, both shapes are circles and as such it is obvious that one circle has been dilated by a scale factor to get the other circle.

Thus, they have the same shape and are similar circles.

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Answer:

You are absolutely correct!

Step-by-step explanation:

To find the area of a cube, we do length (l), times width (w), times height (h).

Let's say that the length is 6, while the width is 3. That would make the first layer 18, like in your problem.

18 × 10 = 180

18 × 20 = 360

18 × 30 = 540

So, yes! You are correct!

As each layer can hold 18 balls 540 balls can be placed in 30 layers.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A box holds 540 balls, and each layer holds 18 balls.

∴ To determine no. of layers we have to divide the total no. of balls by no. of balls in one layers,

= (540/18) layers.

= 30 layers.

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7) 13 + -2 = 13 + (-2) = 13 - 2 = 11

8) -12 - 8 = - (12 + 8) = - (20) = -20

Answer:

Step-by-step explanation:  For this question, we need to make a table first.

For which we'll assume values of x and y.

Let the value of x be 0 then y will be 5

if value of x=3 then y=6

hence, we arrive at two points that are satisfying the equation.

Kindly refer to the attachment

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Answer:

100

Step-by-step explanation:

Answer:

Step-by-step explanation:

11 [tex]\frac{1}{2}[/tex] + [tex]\frac{5}{8}[/tex]

make all the fractions an improper fraction

(11×2)+1/2 = 23/2

(3x5)+5/8 = 29/8

you need to make sure both fractions have a common denominator

to make 23/2 common with 5/8 you multiply 23/2 by 4/4

wich will make 92/8

continiue with the question

92/8 + 29/8= 121/8

simplify by dividing by 8 to get a mixed number

15 1/8

37 = -3 + 5(x + 6)

Distributing:

37 = -3 + 5(x) + 5(6)

37 = -3 + 5x + 30

Commuting:

37 = -3 + 30 + 5x

37 = 27 + 5x

27 is adding on the right, then it will subtract on the left.

37 - 27 = 5x

10 = 5x

5 is multiplying on the right, then it will divide on the left

10/5 = x

2 = x

Start simplifying both numerator and denominator,

rewrite the expression

The graph of the function is reflected across the y-axis and vertically translation by 2 units downwards.

The parent function of the graph is f(x) = x

Now the first is the reflection along the y-axis.

Hence the graph of the function h(x) becomes h(x) = -x

Now there is a translation by 2 units downwards. or a vertical translation of 2 units  downwards.

Hence the graph of f becomes g(x) = -x -2

In mathematics, a shape can be translated by moving up, down, left, or right. Since they seem to have the same proportions as the original shapes, the translated shapes are consistent with one another. Just a few more adjustments have been made to the instructions.

As we just saw, before translations are carried out, a shape is referred to as a "preimage," and when translations are complete, a shape is referred to as an "image."

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Maria can draw a number line connecting the points 0 and 12, then divide the distance between them into four equal parts. The division operation produces the location of the point closest to zero.

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in elementary mathematics. Every point on a number line is assumed to be a real number, and every real number is assumed to be a point.

Integers are frequently represented as specially marked points evenly spaced on a line. Despite the fact that the image only shows the integers from -3 to 3, the line includes all real numbers, which continue indefinitely in each direction, as well as numbers that are between the integers. It is frequently used to help teach simple addition and subtraction, particularly with negative numbers.

The number line is also known as a real line or real number line in advanced mathematics. It is formally defined as the set R of all real numbers viewed as a geometric space, namely the Euclidean space of dimension one. It's also known as a vector space, metric space, topological space, measure space, or linear continuum.

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∵ The cost of the television = 120 dollars

∵ The sale tax = 6.5%

→ Find at first the value of tax by multiplying 6.5% by 120

∵ 6.5% = 6.5/100 = 0.065

∴ The tax = 0.065 x 120 = 7.8 dollars

→ Add the tax to the cost to find the total cost

∵ The tota

Answer:

2?

Step-by-step explanation:

I couldn't find an answer but 2 was the most appropriate so try that, and sorry I wasn't much of a help

Answer:

2

Step-by-step explanation:

The x-coordinates of the points of intersection of the given function graphs are;

1) x = 0 and x = 2

2) x = -1

3) x = 0

The point of intersection of a graph is in simple terms explained as the point or coordinates where two lines or even curves intersect.

1) The first question gives us the functions as;

f(x) = -³/₄x² + 3x + 1

g(x) = 2ˣ

Therefore;

From the first graph, At f(x) = g(x), the coordinates of intersection is at (2,4 and (0, 1)

2) In the second question, we are given the functions as;

f(x) = x² + 4x + 2

g(x) = (¹/₂)ˣ + 1

Therefore;

From the first graph, At f(x) = g(x) the coordinates of intersection is at (-1. 3)

C) In the third question, we are given the functions as;

f(x) = -⁷/₃x - 3

g(x) = 2ˣ - 4

Thus;

From the graph, At f(x) = g(x), the coordinates of the point of intersection  is at (0, -3)

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Answer:

.

Step-by-step explanation:

ΔJKL and ΔXYZ are similar triangles with condition KL / YZ = 8

Two triangles are said to be Similar triangles if they have same shape but not necessarily the same size , ratio of all the corresponding sides are same and corresponding angles are equal to each other

In ΔJKL and ΔXYZ ,

1 . The shape of both triangles are same

2 . ∠KLJ = ∠YZX

3 . Ratio of corresponding sides KL / YZ = 56 / 7

= KL / YZ = 8

so , KL / YZ = 8  is condition to prove ΔJKL and ΔXYZ are similar triangles.

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Answer:

KL/YZ=8 have a nice day:)

The unit rate in price per ounce for choice A is  $0.1396, using arithmetic operation.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

The given question, 25 ounces of potato chips cost $3.49

So for 1 ounce the price will be 3.49/25 = $0.1396

Hence,  the unit rate in price per ounce for choice A is  $0.1396

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Answer: 1.428571428571429

Step-by-step explanation:

The ratio of the length of an actual tile is 4/3, and the ratio of area is 16/9.

What is ratio?

A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.

Given,

the length of tile is 2/3 and width = 1/2

The length of actual tile is 1/2 and width = 3/8

Therefore, the ratio of the actual length of tile = 2/3 ÷ 1/2

=2/3×2/1

=4/3

The area of the tile in the model to the area of tile in actual tile = 2/3×1/2÷(1/2×3/8)

=1/3÷3/16

=1/3×16/3

=16/9

And another method is property of dilation,

The ratio of the areas = (4/3)^2

=16/9

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The value of angle a will be = 50 degrees

Since the given figure has 4 sides hence it is a quadrilateral, we know that the sum of all 4 sides should be equal to 360 degrees so,

Sum of all 4 sides = 360 degrees

The sum of the given 3 sides = 100+100+110 = 310 degrees

Angle a = Sum of all 4 sides - the sum of the given 3 sides

Angle a = 360 - 310

Angle a = 50 degrees

Hence the value of the remaining angle a = 50 degrees

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A sinusoidal function that matches the given graph is y=cosπx/3+2.

From the given question, the curve is the graph of a sinusoidal function.

It goes through the points (- 4, 0) and (2, 0).

We have to find the sinusoidal function that matches the given graph.

For this problem, we can use either of these general equations :

y = Asin(Bx + C) + D or y = Acos(Bx + C) + D.

A = amplitude = distance on Y-axis from centre of graph to highest or lowest point.

So from the given graph

A = 1

T = period = distance on X-axis over one complete cycle

So from the given graph

T = 6.

So B=2π/6 =π/3

D = distance that graph has been moved up or down on the Y-axis

D = 0

C= horizontal shift (left side if positive)

From the given Graph

C = 2

So, equtaion is

y = Acos(Bx + C) + D

Putting the each variable value

Using π =3.1416.

y = 1*cos(π/3 x + 2) + 0

y = cosπx/3 + 2

Hence, a sinusoidal function that matches the given graph is y=cosπx/3+2.

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The students who write expressions when the students write algebraic math expressions and equations on their whiteboard is student 1 and 4.

In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions. An expression or mathematical expression in mathematics is a finite combination of symbols that is well-formed according to context-dependent rules.

An algebraic expression is one that is composed of integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). 3x² 2xy + c, for example, is an algebraic expression.

In this case, student 1 wrote 1/2x + 6 and student 4 wrote 5 - x. It should be noted these are algebraic expressions as they don't have equal signs.

The diagram is attached.

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Answer:

I only got 8.5 but I could be wrong

Step-by-step explanation: