help with this problem please ​

Help With This Problem Please

Answers

Answer 1
Side 1 - 10x13=130
Side 2 - 10x13=130
Triangle 1 - (24x13)/2=156
Triangle 2 - (24x13)/2=156
Bottom - 24x10=240

812 is the total surface area!

Related Questions

Determine the largest integer value of x in the solution of the following inequality.
2x+6<-4

Answers

Answer: -6

Step-by-step explanation: To determine the largest integer value of x in the solution of the inequality 2x+6<-4, we first need to isolate x on one side of the inequality. We can do this by subtracting 6 from both sides of the inequality, which gives us 2x<-10. Next, we can divide both sides of the inequality by 2, which gives us x<-5. Since the inequality has a strict inequality symbol, we can conclude that the largest integer value of x that satisfies the inequality is -6.

Factor 30q+ 5r. Write your answer as a product with a whole number greater than 1.​

Answers

Answer:

5(6q+r)

Step-by-step explanation:

We first find the GCF of 30q +5r

The GCF is 5

So, our answer is 5(6q+r)

We can't factor more after this

Now Let's test to see it is correct or not

5(6q+r)

= 30q + 5r

So, my answer is correct

Answer:

[tex]=5(6q+r)[/tex]

Step-by-step explanation:

[tex]Factor 30q+5r\\30q+5r\\=5(6q+r)[/tex]

Hope it helps

Which of the relations given by the following sets of ordered pairs is not a function?

Answers

{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)} ordered pairs is not a function. A mapping between two sets, which is a relation and can potentially be a function, can be represented by a set of ordered pairs.

Which relation is not a function?A relationship is not a function if each input does not have a distinct output. For a relation to be a function, each input must have a distinct output, and the order of the set's items must be paired in a unique way or the elements of sets must be mapped in a unique way.A function is a special type of relation in which each element in the domain is paired with exactly one element in the range. For example, the relation {(1, 2), (3, 4), (5, 6)} is a function because each element in the domain (i.e., {1, 3, 5}) is paired with exactly one element in the range (i.e., {2, 4, 6}). On the other hand, the relation {(1, 2), (3, 4), (1, 6)} is not a function because the element 1 is paired with two elements in the range (2 and 6).All the set ot values agrees with this definition except the B, because the third and fourth pair have the same first value (3)

Complete question :

Which of the relations given by the following sets of ordered pairs is not a function?

a. {(5,2),(4,2),(3,2),(2,2),(1,2)}{(5,2),(4,2),(3,2),(2,2),(1,2)}

b. {(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}

c. {(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}{(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}

d. {(−6,4),(−3,−1),(0,5),(1,−1),(2,3)}

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Solve the equation 4(2x + 1) = 6x − 12. (1 point)
a. x equals negative thirteen halves
b. x = −8
c. x = 8
d. x equals eleven halves

Answers

Answer:

[tex] \sf \: b) \: x = - 8[/tex]

Step-by-step explanation:

Given equation,

→ 4(2x + 1) = 6x - 12

Now the value of x will be,

→ 4(2x + 1) = 6x - 12

→ 8x + 4 = 6x - 12

→ 8x - 6x = -12 - 4

→ 2x = -16

→ x = -16/2

→ [ x = -8 ]

Hence, the value of x is -8.

what is the slope between (-9,3) and (-1,1)

Answers

Answer:

m = -1/4

Step-by-step explanation:

The slope is rise/run or (y2 - y1) / (x2 - x1)

We see the y decrease by 2 and the x increase by 8, so the slope is

-2/8 = -1/4

Answer:

Slope = -1/4

Step-by-step explanation:

Now we have to,

→ find the needed slope.

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Then the slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (1 - 3)/(-1 -(-9))

→ m = -2/(-1 + 9)

→ m = -2/8

→ [ m = -1/4 ]

Hence, the slope is -1/4.

In triangle ABC,

AC=8 cm,

BC-15 cm,

Angle ACB = 70°.

(a) Calculate the length of AB. Give your answer correct to 3 significant figures.

Calculate the size of angle BAC.

(b) Give your answer correct to 1 decimal place.

Answers

a) The length of AB is given as follows: 14.387.

b) The measure of angle BAC is given as follows: 78.4º.

How to obtain the length of AB?

The length of AB, from the sketch of the triangle given by the image at the end of the answer, is obtained using the law of cosines, as follows:

x² = a² + b² - 2abcos(C).

The parameters from the triangle are given as follows:

a = 8, b = 15, C = 70º.

Hence the length of AB is given as follows:

x² = 8² + 15² - 2 x 8 x 15 x cos(70º)

x² = 207

x = square root of 207

x = 14.387.

How to obtain te measure of angle BAC?


The measure of angle BAC is obtained using the law of sines, as follows:

sin(x)/15 = sin(70º)/14.387

sin(x) = 15 x sin(70º)/14.387

sin(x) = 0.9797.

x = arcsin(0.9797)

x = 78.4º.

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What is the area of 4 in a circle?

Answers

On solving the provided question, we can say that, 16 square units make up the area of a circle with a radius of 4 units.

what is radius?

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. Through the center of the circle, a straight line defines the diameter. Half of the diameter is the radius. End in the circle's center after beginning at one of its points.

what is area of circle?

Pi times the radius squared equals the area of a circle (A = π r²). Learn how to apply this equation to determine a circle's area given its diameter.

16 square units make up the area of a circle with a radius of 4 units.

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When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?
\text{Original Equation:}
Original Equation:
3x-1 =
3x−1=
\,\, 3
3
\text{First Step:}
First Step:
3x =
3x=
\,\, 4
4

distributive property of multiplication over addition
addition property of equality
division property of equality
multiplication property of equality

Answers

The first step that justifies Anne's first step while solving the expression is the commutative law of addition.

The property that best justifies Anne’s first step is the addition property of equality. This allows you to add four on the left side of the equal sign to cancel it out. In order to be fulfill the property, what you do to one side you must do to the other so you add that same amount (4) to the right side of the equal sign.

3x-4 = 5

(3x-4) +4 = 5 + 4

3x = 9

Final Answer: Addition Property of Equality

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What are the solutions of x2 3x 4 0?

Answers

The solution of [tex]x^{2} - 3x-4=0[/tex] is x=(4,−1).

What is fraction ?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator. In Maths, there are three major types of fractions. They are proper fractions, improper fractions and mixed fractions.

Have given ,

[tex]x^{2} - 3x-4=0\\x^{2} -4x +x-4=0\\x(x-4)+1(x-4)=0\\(x-4)(x+1) = 0\\[/tex]

x - 4 = 0                

x = 4

and x + 1 = 0

x = -1

The solution of [tex]x^{2} - 3x-4=0[/tex] is x = (4,−1).

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What is nature of roots formula?

Answers

The Formula for the nature of roots is D = b² - 4ac .

The Nature Of Roots of the quadratic equation "ax² + bx + c" formula can be determined by the discriminant formula ,

the discriminant formula is D = b² - 4ac ; where a is the coefficient of x² and b is the coefficient of x .

If the value of Discriminant is greater than 0 , then the roots are Real and distinct .

If the value of Discriminant is 0 , then the roots are Real and Equal .

If the value of Discriminant is less than 0 , then the roots are Imaginary and conjugate .

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PLEASE HELP!!
Which statement best explains whether △JKL is congruent to △MNP?


△JKL is congruent to △MNP because △JKL can be mapped to △MNP by a reflection across the y-axis.


​△JKL is congruent to △MNP because △JKL can be mapped to △MNP by a reflection across the x-axis followed by a rotation of 180° about the origin.


△JKL is congruent to △MNP because △JKL can be mapped to △MNP by a rotation of 180° about the origin followed by a translation 2 units up.


△JKL is not congruent to △MNP because there is no sequence of rigid motions that maps △JKL to △MNP.

Answers

The statement that best explains whether △JKL is congruent to △MNPis:

"​△JKL is congruent to △MNP because △JKL can be mapped to △MNP by a reflection across the x-axis followed by a rotation of 180° about the origin." (Option B).

What is a reflection in Maths?

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line.

A figure is said to mirror another figure when every point in one figure is equidistant from every point in another figure.

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Do the one you would like please show work

Answers

Answer:

8. 12 hours

Step-by-step explanation:

1/6+1/x+1/4

1/x=1/4-1/6

1/x=3/12-2/12

1/x=1/12

x=12

which is higher? determine if i or ii is higher or if they are equal. explain your reasoning. for a regression line, the uncertainty associated with the slope estimate, b1, is higher when

Answers

When I. there is a lot of scatter around the regression line, b1 is higher.

Define regression.

A statistical measure that identifies the link or co-relationship between two variables. explains the relationship between an independent variable and a dependent variable. The scatter of data points around the regression line plays a key role in estimating the slope's uncertainty in regression analysis. The data points are more dispersed and the estimation of the slope is less accurate when there is a lot of scatter. Because the estimation of the slope is based on the data points, it is less accurate when there is greater scatter in the data points.

Given

When I. there is a lot of scatter around the regression line, b1 is higher.

I am higher. The uncertainty surrounding the slope estimate, b1, increases with the amount of scatter around the regression line. The calculated slope is less dependable when there is a lot of scatter than when there is very little scatter.

When there is a large amount of scatter around the regression line, the uncertainty associated with the slope estimate, b1, is higher. This is due to the fact that the estimate of the slope depends on the data points, and when there is a lot of scatter, the data points are more dispersed, making the estimate of the slope less accurate.

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The table represents a quadratic function. Write an equation of the function in
standard form.

Answers

The standard form of the equation of the line for the function is; y =6x + 18

What is the equation?

We know that it is possible to obtain the equation of the line by obtaining the slope of the data points. The slope of the data points can be obtained by the use of the points that have been shown in the table.

Taking any two points on the table we have;

[tex]y_{1}[/tex] = 0

[tex]y_{2}[/tex] = -12

[tex]x_{1}[/tex] = -3

[tex]x_{2}[/tex] = -1

Using;

y - [tex]y_{1}[/tex]  =  [tex]y_{2}[/tex]  - [tex]y_{1}[/tex] /[tex]x_{2}[/tex]  - [tex]x_{1}[/tex]  (x - [tex]x_{1}[/tex] )

We have;

y - 0 = (-12) - 0/(-1) - (-3) ( x - (-3))

y = 12/2 (x + 3)

y =6x + 18

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Can someone help me understand this question?

Consider the mathematical sentence 2 ≠ 3.
Is there any variable or constant that you could add to or subtract from both sides, or
multiply or divide both sides by using the Properties of Equality to make both sides equal?
Choose variables and constants to create new mathematical sentences to justify
your conclusion.

Answers

Answer:

It is not possible to make both sides of the mathematical equation 2 ≠ 3 equal by using the Properties of Equality. This is because the equation is already in reduced form and there is no way to simplify it further.

If we try to apply the Properties of Equality to this equation, we can see that it is not possible to make both sides equal. For example, if we try to add or subtract a constant or variable to both sides, the result will not be modified. If we try to multiply or divide both sides by a constant or variable, the result will also not be modified.

Therefore, it is not possible to make both sides of the mathematical equation 2 ≠ 3 equal using the Properties of Equality.

Find the slope of the line that passes through the points. (2,-2) (- 3, -3)

Answers

Answer:

Step-by-step explanation:

Slope (m) = ΔY/ΔX = 1/4 =0.25

Answer:

Step-by-step explanation:

     

Which equation is the inverse of y 16x2 1?

Answers

This equation expresses x as a function of y, meaning y is the input and x is the output. This inverse equation can be used to solve for x when given a value of y

x = (y - 1) / 16

In order to find the inverse of a given equation, we need to switch the x and y values and solve for the new x. To do this, we start by subtracting 1 from both sides of the equation to isolate the y variable. Then, we divide both sides of the equation by 16 to find the inverse equation, x = (y - 1) / 16. This equation expresses x as a function of y, meaning y is the input and x is the output. This inverse equation can be used to solve for x when given a value of y

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What is 5x 2y 3 in slope intercept form?

Answers

The line's equation is written as y = (-5/2)x + (3/2) in slope-intercept form.

According to the slope-intercept form, in the equation for a straight line, y=mx+b, the slope is the quantity represented by m that is multiplied on the x, and b is the y-intercept, i.e., the point where the line crosses the vertical y-axis.

To put the equation 5x + 2y = 3 in slope-intercept form, you need to rearrange the equation to have the form y = mx + b, where m is the slope and b is the y-intercept.

To do this, you can start by isolating the y term on one side of the equation:

5x + 2y = 3

2y = -5x + 3

y = (-5/2)x + (3/2)

In this configuration, the line's slope is -5/2, and its y-intercept is 3/2. Therefore, the equation of the line in slope-intercept form is y = (-5/2)x + (3/2).

The complete question is:-

What is 5x + 2y = 3 in slope intercept form?

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How does estimating the number 3,456 to the nearest thousand affect accuracy?

Answers

3000

Because, When we rounding of to Nearest thousand, then we Have to look towards Hundredth place...If its

Then we have round out toward thousand place...
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Where in an equation for photosynthesis does glucose belong?on the left, because it is a producton the left, because it is a reactanton the right, because it is a producton the right, because it is a reactant.

Answers

Answer:

carbon dioxide + water sunlight glucose + oxygen

Step-by-step explanation:

glucose on the right because it is a by product of photosynthesis.

what is 18+15 writen as an expression

Answers

The answer is 20 to your problem

What is the factored form of 3x² 14x 8?

Answers

The factored form of 3x² + 14x + 8 is (3x + 4)(x + 2).

What is factor?

Factor is a number that can be divided evenly into another number. Factors are used in mathematics to simplify equations, calculate percentages, and solve problems. Factors can also be used to identify the greatest common factor (GCF) between two or more numbers. Factors can also be used to find the least common multiple (LCM) of two or more numbers.

This is the product of the two binomials (3x + 4) and (x + 2),which are the factors of the equation.

The process of factoring an equation involves breaking it down into its component parts,

which in this case are 3x² + 14x + 8. The factors of this equation are determined by first finding the greatest common factor (GCF) of the terms, which in this case is 3x + 4.

Then, the GCF is divided by each of the terms to determine the other factor. For example, 3x² / 3x + 4 =x + 2.

When the two factors are multiplied together, the result is the original equation.
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What is the equation in slope intercept form of the line that is parallel to the given line?

Answers

The equation in slope intercept form of line , parallel to the line 6x - y = 1 and passing through point (-2,2) is y = 6x + 14  .

When the two line are parallel , then their slopes are same .

the required line is parallel to the given line 6x - y = 1 ,

rewriting it , we get ;

y = 6x - 1 ;

on comparing it with the slope intercept form of line , "y = mx + c" ,

we get ,

slope(m) ⇒ 6 .

So , the equation of the required line becomes ⇒ y = 6x + c ;

Since this line passes through the point (-2,2) ,

we get ,

2 = 6(-2) + c ;

2 = -12 + c ;

c = 12 + 2 ;

c = 14  .

the equation becomes ⇒ y = 6x + 14 .

Therefore , the equation of the line is y = 6x + 14 .

The given question is incomplete , the complete question is

What is the equation in slope intercept form of the line that is parallel to the given line 6x - y = 1 and passes through point (-2,2) ?

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pls help me
The line 2y + x = 1 is perpendicular to a line L. Line L passes through point (2, -1). Determine the equation of L in the form y = mx + c, where m and c are constants.

Answers

The equation of the perpendicular line is y = 2x - 5

How to determine the perpendicular line equation?

From the question, we have the following parameters that can be used in our computation:

2y + x = 1

Make y the subject

y = -1/2x + 1/2

Also, from the question;

We have the following points

Point = (2, -1) i.e.  (x, y) = (2, -1)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = -1/2

This means that the slope is -1/2

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is 2

The equation of the line is then calculated as

y = m(x - x₁) +y₁

Where

m = 2

(x₁, y₁) = (2, -1)

So, we have

y = 2(x - 2) - 1

Evaluate

y = 2x - 5

Hence, the line has an equation of y = 2x - 5

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Gabriella needs 120120 meters of fence to surround a rectangular garden. The length of the garden is three times its width, ww. How wide is the fence?.

Answers

The rectangular garden's width is 15 units, and Gabriella needs 120 meters of fence to enclose it.

The perimeter of a rectangle is the length of its side boundaries. A rectangle's perimeter is equal to twice the product of its length and width.

[tex]P=2(l+w)[/tex]

In this case, the rectangle's length is (l) and its width is (w).

Assume for a moment that the garden is l units long. The garden is three times longer than it is wide, w. Thus,

[tex]l=3w[/tex]

Gabriella requires 120 meters of fencing to enclose a square garden. The perimeter of the rectangular garden is the same height as this fence. Thus,

[tex]P=2(l+w)\\120=2(l+w)[/tex]

Add this equation with the length value from equation 1.

[tex]120=2(3w+w)\\3w+w=\frac{120}{2} \\4w=60\\w=\frac{60}{4} \\w=15[/tex]

Gabriella needs 120 meters of fence to enclose the rectangular garden, which has a width of 15 units.

The complete question is:-

Gabriella needs 120 meters of fence to surround a rectangular garden. The length of the garden is three times its width, w. How wide is the fence?

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What is an example of f x G X?

Answers

The example of composition function f(g(x)) is given by f(x) = 2x + 1   and g(x) = 3x then f(g(x)) = 6x + 1.

As given in the question,

Composition function is written as :

(fog)(x) = f(g(x))

Here substitute the value x in the function f(x) as function g(x) :

Example of the composition function is:

f(x) = 2x + 1

g(x) = 3x

(fog)(x)

= f(g(x))

=f(3x)

= 2(3x) + 1

= 6x + 1

Therefore, the example of the composition function f(g(x)) is given by :

f(x) = 2x + 1   and g(x) = 3x then f(g(x)) = 6x + 1.

The above question is incomplete, the complete question is:

What is an example of the function f (g(x))?

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What is the real meaning of integral?

Answers

An integral is either a number representing the region under a function's graph for a certain interval or a new function, the derivative of which is the original function (indefinite integral).

What is integral?

This is the value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

Integral is a term derived form the word integration. Integration in calculus is the opposite of differentiation

Integration is used to get the whole by combining combine slices or smaller portions.

Finding areas, volumes, central points, and many other important things may be done with integration. However, it is simplest to begin by calculating the distance between a function and the x-axis.

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What is the asymptote calculator?

Answers

An asymptote calculator is a tool that can be used to find the asymptotes of a given function.

What is an asymptote calculator?

Generally,  An asymptote is a straight line that a curve approaches, but never touches, as it extends indefinitely in one direction or another. There are three types of asymptotes: horizontal, vertical, and oblique.

To use an asymptote calculator, you would typically enter the equation of the function for which you want to find the asymptotes. The calculator will then analyze the equation and determine the type and location of the asymptotes, if any. Some asymptote calculators may also provide a visual representation of the function and its asymptotes, using a graph.

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help me please asaaaaaapppp​

Answers

The continuity of the piece-wise functions is defined as follows:

1. Not continuous.

2. Not continuous.

3. Not continuous.

How to define the continuity of the functions?

A piece-wise function is a function that has multiple definitions, depending on the input.

Then the function is classified as continuous if the lateral limits at the points that the function change the definition are equal, and also equal to the numeric values of the function.

None of the functions in this problem are continuous, as:

For function 1, lim x -> 0^- = 0, lim x -> 0^+ = 2, hence different lateral limits. At x = 3, the lateral limits are also different.For function 2, lim x -> -6^- = 0, lim x -> -6^+ = 4. At x = 2, the lateral limits are also different.For function 3,lim x -> 0^- = 3, lim x -> 0^+ = -3.

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urgent..................​

Answers

Answer:

√6

Step-by-step explanation:

the altitude is √a*b

and and b being the base so find their distance then multipky them under the root

subtracdt the x values to find the distance

4-1=3

6-4=2

the root of 2*3 is the root of 6

done

Answer:

  x = 4

Step-by-step explanation:

You want the equation of AD perpendicular to BC, where the point coordinates are A(4, 6), B(1, 2), C(6, 2).

Horizontal line

We notice the y-coordinates of point B and C are the same, indicating the line is horizontal. Its equation is y = 2.

Perpendicular line

The line perpendicular to the horizontal line y = 2 will be a vertical line. Its equation will be of the form ...

  x = c

where c is some constant.

We want this line to go through the point (4, 6), which has an x-coordinate of 4. That means the constant in the equation must be 4:

  x = 4 . . . . . . equation of AD

Other Questions
10. What is the net force?5 N5 N5N if anyone plays kogama i need a favor ;-; Why would finding out the relative ages of the fossils be important in helping provide evidence of the idea of continental drift? Fill in the table using this function rule.y = -5x+1Fill out the y values Mrs. Johnson works as a Librarian and makes $46,320 per year. Mr. Rivera makes $75,490 per year working as an Actuary. Which statement below accurately describes the difference in their salaries over time? A B Mrs. Johnson will make $125,760 less than Mr. Rivera over a 5-year period.B Mrs. Johnson will make $194,800 less than Mr. Rivera over a 10-year period. C Over a 15 year period Mr. Rivera will make $377,450 more than Mrs. Johnson. CD Over a 15 year period Mr. Rivera will make $437,550 more than Mrs. Johnson. Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.Complete the following. Show all work for calculations.List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).Describe the shape of the cross section when the box is cut parallel to the base.What is the surface area of the box?What is the surface area of the box if it is scaled up by a factor of 10?What is the volume of the box?What is the volume of the box if it is scaled down by a factor of 110?ill give 40 points and brainlysest please i really need this please Find the circumference of the circle below. Use 3.14 Bacteria in the Shigella genus cause the disease shigellosis. The symptoms of shigellosis include diarrhea, fever, and intestinal cramping. The disease is unpleasant, but most people recover within a week. Shigellosis is transmitted from one person to another through bodily wastes. You can catch shigellosis from a baby when changing its diaper. People also catch the disease by drinking contaminated water. The best way to avoid shigellosis is through frequent hand-washing with soap.A strategy for fighting bacterial infections uses viruses. Viruses that infect bacteria are called bacteriophages. Phage comes from the Greek word for eater. Explain why it is not accurate to call a virus that kills bacteria a bacteria eater." What happens when a virus attacks a cell? Find the angle between the two vectors to the nearest tenth of a degree u= (6 4) v= (7 5) Use the Order of Operations to evaluate this expression(-2+1square2) +5 (12/3) -9Type the correct answer in the box. Use numerals instead of words. PLEASE HELP ME! i need right answers tho -_- please Fall is usually a little warmer than spring. And yet, the Sun's path is the same in both seasons. Why do you think fall might be warmer than spring? Must write and solve using a system of linear equation.* 10. You have 39 math and science problems for homework. Youhave 15 more math problems than science problems. Use themodel to write a system of linear equations. How many problemsdo you have in each subject? Society is defined by: Group of answer choices An international network of communities, linked by identification with common ancestral homeland and culture That complex whole which includes knowledge, belief, art, law, morals, custom, and any other capabilities and habits acquired by [humankind] as a member of society The imposition of one's own culturally grounded perspectives and biases on practices and lifeways different than their own A group of persons regarded as forming a single community of related, interdependent individuals help fast pls .. Fill in the blanks to complete the table. (10 pts: 0.5 pt for each blank) A water jug weighs 5 kilograms. What is the volume of the water in the jug? 3. Michelangelo discovered the four chambers of the heart, the workings of the aortic valve, and how the cone shape of the heart assists in its functions.true or false Do you think it's important to spend money on birthday presents, or are there better ways of celebrating with someone? Counselors give people feedback about?their behavior, body language, facial expressions.the details of their family history.the appropriateness of their goals.their ability to summarize and paraphrase. Lacey set a goal to walk a mile each day. How many steps does she need to take each day to walk one mile?