what is the total area of the figure below in square inches

Our equation is:

Then we can operate it in the following way, I'll do it step by step

And, if -x=7, then

The region in the graph shows the solutions for the inequality.

If the point falls on the region, then it is a solution.

The boundary line is a broken line which means, every point on this line is NOT a solution.

a. (-3, -2), Plot this point and check with the region.

That will be :

Since the point is on the boundary, therefore, it is NOT a solution

b (3, -7), plot this point and check with the region :

Since it falls under the region, it is a solution.

The green V function is | x- 4|, so then its necessary to elevate this funtion 2 units , at y axis, to find y = | x - 4| + 2

Answer:

A.  y=-5+12

Step-by-step explanation:

It asks for slope intercept form which is y=mx+b. This matches the first option but not the last.

First you can rewrite the given equation (10x+2y=-2) in slope intercept form. That will give you y=-5x=1. (in the slope intercept form the number in front of the X is ur slope and the last number is ur Y intercept).

The question says that ur line is parallel to the given equation line. This means that they have the same slope. In your rewritten equation, y=-5x=1, the slope is -5 because it is in front of the X. A is the only option with -5 in the slope position.

All options are eliminated now but in case u want to know, when it tells you that the line passes through (0,12) that means the X intercept is 12. Because 0 is the x axis, and 12 is the Y. Y intercept just means the point where your line touches the Y axis.

Y intercept goes at the end and that also matches your first equation.

the amount of potassium-42 remaining after 62 hours is approximately 23.31 grams (option B)

half life = 12.4 hours

initial amount = 746g

time elapsed = 62 hours

Using the half-life formula:

Substitute for the values:

Hence, the amount of potassium-42 remaining after 62 hours is approximately 23.31 grams (option B)

To graph the inequality, we need to take the following steps:

0. Draw a number line.

1. Draw circles over -4 and 2; in this case the circles are hollow since the inequality only has exact signs.

2. Join them with a straight line.

With this in mind the graph of the inequality is:

The inequality is written in interval notation as:

Answer:

Graphing the equation we have;

Explanation:

Given the equation;

the slope of the line can be derived by expressing the equation in slope-intercept form;

So, the slope and y-intercept are;

to graph the equation, let us find the x-intercept;

Graphing the equation we have;

Other points on the graph includes;

The shaded part is 3 column

There are 10 columnn in total.

The number of grids are 100 and shaded grids are 30

Thus the fraction of shaded portion is:

3/10.

The decimal form is 0.3.

Missing coordinates for the ordered pairs given are A= 4 and B= 18.

An integer pair used to define a point's location on a coordinate plane using the horizontal and vertical separations from the two reference axes Coordinates are two numbers (Cartesian coordinates) or, less frequently, a letter and a number that identify a specific location on a grid, also known as a coordinate plane. They are frequently represented by the x-value and y-value pair (x,y). The x (horizontal) and y (vertical) axes are the two axes of a coordinate plane with four quadrants (vertical)

12/A = 9 / 3

A = 4

Same as above

B/6 = 9/3

B = 18

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785 feet² is the volume of her storage tank .

What is volume ?

(V = πr2h)

(V = π * (5)2 * 10)

(V = 250π)

(π) (pi) is approximately equal to (3.14)

V = 250 * 3.14 = 785

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Alejandro's cumulative score for the tournament is -1.

It is important to note that cumulative score simply has to do with the total score.

From the information, the table shows Alejandro's golf scores over a 4-round tournament.

The scores for the tournament include 2, -4, -2 and 3.

Therefore, the total score will be:

= 2 - 4 - 2 + 3

= -1

The score is -1.

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The total volume of the solid shape is 756π cm³.

There is a solid shape. The shape is formed by joining a cone with a hemisphere. The radius of the hemisphere is equal to the radius of the base of the cone. The height of the cone is 10 cm. The volume of the cone is 270π cm³. We need to find the total volume of the solid shape. The total volume is the sum of the volumes of the cone and the hemisphere. Let the radius be "r". The volume of the cone is (1/3)πr²h. So, we can find the radius.

270π = (1/3)πr²h

810 = r²*10

r = √81 = 9

The volume of the hemisphere is (2/3)πr³ = (2/3)π9³ = 486π cm³. The total volume of the solid shape is V = 270π +486π = 756π cm³.

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This is the Commutative Property. It states that when addition takes place, the addends may switch positions with another addend.

The given expression −3+ 5 = 5 + (−3) is showing the commutative Property. The correct option is B.

The cumulative property states that if the position of the numbers when they are in addition is changed then it will not affect the final result of the addition. If altering the operands' order has no effect on the outcome, the binary operation is commutative in mathematics.

The given expression is −3+ 5 = 5 + (−3).

From the cumulative property, the expression can be solved. The two expressions will have the same value but the frame of writing the expression is different.

This is the Commutative Property. It states that when an addition takes place, the addends may switch positions with another added.

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Answer:

The lines are parallel, and therefore, never intersect.

Slope

Answer:  Yes, the car is breaking the speed limit

Work Shown:

22 min = 22/60 = 0.36667 of an hour approximately

distance = rate*time

rate = distance/time

rate = (19 mi)/( 0.36667 hr)

rate = 51.818 mph approximately

The car is slightly over the 50 mph speed limit.

Answer:

$48

no idea how working out would go

Answer: $48

Step-by-step explanation: First convert 20% to a decimal which is 0.2 or 0.20.

Then multiply 60 x 0.20 which equals 12.

Because it is a markdown then you must subtract 12 from 60 which gives you the answer $48.

I hope this helps!! Good Luck!

He must have 156 total tickets.

According to the question,

We have the following information:

The Parkview middle school football team will be playing in the state championship the coach free tickets that he would be distributing to his 52 football players to give to their friends and family and you would like to give each player at least three tickets.

So, we have the following expression:

1 player = 3 tickets

Now, we will use multiplication to find total number of tickets:

52 players = 52*3 tickets

52 players = 156 tickets

Hence, he must have 156 total tickets.

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The equations that could be used to find the weight of the blueberries Lacey has are given as follows:

B. x - 1 and 4/5 = x/5.

C. x/5 = x - 1 and 4/5.

E. x/5 + 1 and 4/5 = x.

The variable that represents the weight of the raspberries is given as follows:

x.

The variable that represents the weight of the blueberries is given as follows:

b.

She has 1/5 as many pounds of blueberries as raspberries, hence:

b = x/5.

If she picks 1 4/5 pounds more blueberries, she will have an equal weight of berries, hence:

b + 1 and 4/5 = x.

x/5 + 1 and 4/5 = x.

Thus the correct options are given as follows:

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g (x) = 4x² + 10 is the equation for g(x) in the simplest form.

A special relationship where each input has a single output is called a function.

Given that, f(x) = 4x² + 6, the quadratic function g(x) is f(x) translated 3 units up.

The translation of a function f (x) in the Cartesian coordinate domain can be done by following the given guidelines:

Translation guidelines ;

Horizontal shifts

Right :  f (x) → f (x - a)

Left :  f (x) → f (x + a)

Vertical shifts

Up :  f (x) → f (x) + b

Down :  f (x) → f (x) - b

General shift (Horizontal and Vertical shift) is;

f (x) → f (x ± a) ± b

We will use the guidelines for Vertical shifts, where in this case the magnitude of b = 4.

f (x) = 4x² + 6

g (x) = f (x) + 4

g (x) = 4x² + 6 + 4

g (x) = 4x² + 10

Hence, the equation for g(x) in the simplest form is  g (x) = 4x² + 10

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Answer:

[tex]x=14 \tan 61^{\circ}[/tex]

Step-by-step explanation:

[tex]\tan 61^{\circ}=\frac{x}{14} \\ \\ x=14 \tan 61^{\circ}[/tex]

ANSWER:

+ 4 7/8

STEP-BY-STEP EXPLANATION:

Assuming that we start in week 0, with a total of 0 points, we must operate the changes in each week and the value opposite to that result must be the change necessary to return to the original value.

Just like that:

Which means that to return to the initial value, 4 7/8 points must be added

we get that:

so the height is 1.4323 in

The concrete required to make the tank be 27.4122 m³.

Given, a concrete tank has an external diameter of 10 m and an internal height of 3 m. If the walls and bottom of the tank are 30 cm thick.

External diameter = 10 m

Height = 3 m

Thickness = 0.3 m

External radius = 5 m

Internal radius = 5 - 0.3 = 4.7 m

Volume = πh(e.r² - i.r²)

Volume = (3.14)(3)(5² - 4.7²)

Volume = 9.42(9.7)(0.3)

Volume = 27.4122 m³

Hence, the concrete required to make the tank be 27.4122 m³.

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Answer:

1) B. quadratic trinomial

2) C. linear binomial

3) F. quadratic binomial

4) D. cubic monomial

linear (1 exponent)

quadratic (2 exponent)

cubic (3 exponent)

trinomial (3 terms), quadratic (2 terms), monomial (1 term)

Answer:

-2/3

Step-by-step explanation:

(1,3,-7)

1) Let's write the following system of linear equations, and then solve them by the elimination method.

The first thing to do is to proceed with the elimination of one variable. In this case, let's chose to start with

x-6y+2z=5 x -2

2x-3y+z=4

3x+4y-z=-2

2x-12y+4z=10

2x-3y+z=4

3x+4y-z=-2

Adding these two equations:

2x-3y+z=4

-2x+12y-4z=-10

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

9y -3z =-6

Now getting the other equations, let's eliminate another variable, in this case, "x"

-2x+12y-4z=-10 x 3

3x+4y-z=-2 x 2

Adding them

-6x +36y -12z=-30

6x+8y-2z=-4

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

0 44y -14z=-34

2) Now that we have a simpler system of two variables "y" and " z" let's operate them. Choosing a factor that we can multiply and cancel out the y variable, in this case, let's pick the Least Common Multiple between 9 and 44 = 396, so let's multiply them by

9y -3z = -6 x 44

44y-14z=-34 x -9

396y -132z = -264

-396y+126z=-306

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

6z =-42

z=-7

Plugging into the equation 9y -3z =-6

9y-3(-7)=-6

9y +21 =-6

9y=27

y=3

And for x

x-6y+2z=5

x-6(3)+2(-7)=5

x+18-14=5

x+4=5

x=1

3) So the solution for that system is (1, 3, -7).

we have the points (0,4) and (3,-8),