Describe a real-world object that would be measured using square units and another that would be measured using cubic units. Explain.

Answers

Answer 1

Answer:

Volume or amount to f water in a jug

The size of a plot of land.

Step-by-step explanation:

The volume of capacity which a certain container can hold such as ; The amount water which can be filled into a cylindrical jug will be measured in cubic units as it requires the multiplication of 3 measured sides of the container ; for a cylinder, radius is squared and multiplied by height. (radius * radius * height).

The size or area of rectangular garden is measured using in square units as it only takes into consideration 2 of the measured parts of a shape.


Related Questions

What is the formula in solving rectangular prism?

Answers

The formula used to calculate the solving the volume of the rectangular prism is equal to ( length × width × height ).

As given in the question,

Given base of the prism is rectangular in shape ,

Area of the base with rectangular base is given by :

area of the rectangle = length × width

Volume of the rectangular prism = base area × height

⇒Volume of the rectangular prism = ( length × width ) × height

Therefore, the formula required to calculate the volume of the rectangular prism is given by ( length × width × height ).

The above question is incomplete , the complete question is:

What is the formula in solving volume of the rectangular prism?

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A boat traveled on a river 10 km upstream and then comes back to its starting point. Given that the trip takes 2 hours and the river has a current of 4 km an hour, write a quadratic equation that gives the boat's speed for the trip.
Responses
A 2x2 − 20x − 32 =0
B 2x2 − 8x − 32 =0
C 2x2 − 8x − 16 =0
D 2x2 − 16x − 32 =0

Answers

Answer:

2x² - 20x - 32 = 0

Step-by-step explanation:

Trip upstream:

distance = 10 km

time = t

current = 4 km/h

speed of boat in still water = x

speed upstream: x - 4

speed = distance/time

distance = speed × time

10 = (x - 4) × t

10 = tx - 4t

t(x - 4) = 10

t = 10/(x - 4)

Trip downstream:

Distance = 10 km

time = 2 - t

current = 4 km/h

speed downstream = x + 4

speed = distance/time

distance = speed × time

10 = (x + 4) × (2 - t)

10 = 2x - tx + 8 - 4t

10 = 2x - 10x/(x - 4) + 8 - 40/(x - 4)

10(x - 4) = 2x(x - 4) - 10x + 8(x - 4) - 40

10x - 40 = 2x² - 8x - 10x + 8x - 32 - 40

2x² - 20x - 32 = 0

What transformation can verify congruence?

Answers

It isometric to rotate, reflect, and translate. This indicates that the character size is unaffected by these modifications. If a form's size and shape have not altered, it is congruent.

What is congruence?


A "matching" figure is one that can be placed perfectly on another. The bread has the same size and form when it is stacked. Match refers to objects that are precisely the same size and form. If one of two geometric figures can be consistently overlaid on the other, they are said to be congruent or to be in a congruent relationship.

If 3 sides are equal

then By SSS, its congruent

AB = DE = 12

BC = EF = 11

AC= DF = 10

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Is y² X² 16 a function?

Answers

Since in [tex]y^{2} x^{2} 16[/tex] , there is no "=" sign in the given expression so we can conclude that given expression is not a function.

What is a function?

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

What are mathematical expression?

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You may think of expressions as being comparable to phrases.

Expression=[tex]y^{2} x^{2} 16[/tex]

Since there was not "=" sign in the given expression so output can't be achieved for any given inputs so we can conclude that the given expression is not a function.

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Use proportional reasoning skills to figure out the unit rate of bananas if it costs $1.50 for 2/3 pound of bananas.

Answers

The unit rate of bananas is $2.25 per pound.

What is the meaning of unit rate?

Unit Rate = Ratio between two separate quantities with different units. = a:b. = a/b. This formula can be used to determine the rate of any two given quantities, such as a and b.

Given that the cost of 2/3 pound of bananas is $1.50.

If the number of pound of bananas increase then the cost of bananas will be increase.

So the relation between amount of banana is directly proportion with the cost.

Therefore,

Amount of bananas/ cost of bananas = Amount of bananas/ cost of bananas

(2/3)/1.50 = 1/x

2/4.50 = 1/x

x = 4.50/2

x = 2.25

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How much more than 23 is 9 * 9?

Answers

58 is the number which would be much more than 23 is 9*9.

Here,

It is asked that how much more we need to add in 23 to get the value 9*9.

Here, 9*9 means we simply have to multiply 9 with 9 and we will get 81.

so, we know that

     9*9 = 81

Now, we have to find how much we need to substract in 81 to get the value as 23

     81-23 =58

when we deduct 23 from 81 then we get 58.

hence, 58 is the answer.

In this situation we just replace the much more word with subtraction to get the answer.

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The volume of a box, a rectangular prism, is represented by the function f(x) = x3 5x2 – 8x – 12. the length of the box is (x 6), and the width is (x – 2). find the expression representing the height of the box. x – 1 x – 5 x 1 x – 12

Answers

The expression representing the height of the box is the difference between the length and width of the box, which is equal to x subtracting two, or x – 1.

The expression representing the height of the box can be determined by subtracting the width of the box from the length. The length of the box is x 6, and the width is x – 2. To calculate the height, we subtract the width from the length: x – (x – 2) = x – x + 2 = 2. Therefore, the expression representing the height of the box is x – 1. This indicates that the height of the box is equal to the length of the box minus one. This calculation can be applied to any rectangular prism to calculate the height.The volume of the box is represented by the function f(x) = x3 5x2 – 8x – 12. To calculate the volume, we can substitute the length and width into the function:

f(x) = (x – 6)(x – 2)(x – 1) = x3 – 8x2 + 11x – 12.

Therefore, the volume of the box is x3 – 8x2 + 11x – 12.

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Determine the Domain & Range.

Answers

Answer:

64, 2

Step-by-step explanation:

Domain: [0, 4]

Range: [0, 64]

`-6+g=11 solve the equation

Answers

Move -6 to right. Move = change signs

G=11+6

G=17
g= 17


step by step instructions:

-6+g=11

+6 on both sides

g=17

How do you know if a curve is positive or negative?

Answers

Positive curve graphs will be upward-sloping.

Negative curve graphs will be downward-sloping.

Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.

In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

What are the properties of equilateral triangles?

Answers

Properties of equilateral triangles are:

All three sides of an equilateral triangles are equal and let be a units.All three angles are equal to 60 degreesEquilateral triangles is a regular polygon of 3 side.Equilateral triangles have the same point as its ortho-centre as well as its  centroid . The median, angle bisector, and altitude of an equilateral triangle are all equal and the same straight line.An equilateral triangle's area is = [tex]\frac{\sqrt{3} }{4} *a^2[/tex].perimeter of an equilateral triangle is 3a.The length of perpendicular form a vertex to the side opposite to that vetex measure[tex]\frac{\sqrt{3} }{2} *a[/tex].

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Exercice 1

Sarah, who is twenty years old, runs regularly. During her workouts, she monitors her heart rate.It thus determined its maximum recommended heart rate and obtained 193 beats per minute. When she is forty years old, her maximum heart rate will be 178 beats per minute.Is it true that over this twenty-year period his maximum heart rate will have decreased by about 8%?

Answers

It is true that Sarah's maximum heart rate over this twenty-year period will have decreased by approximately 8%.

How is the percentage decrease computed?

The percentage decrease is determined by ascertaining the reduction or difference in heart rate at the beginning and at forty.

This difference becomes the numerator of the division operation by the heart rate at the beginning and then multiplied by 100.

Sarah's heart rate at twenty years = 193 beats per minute

Sarah's heart rate at forty years = 178 beats per minute

Difference (Decrease) in heart rate = 15 beats per minute (193 - 178)

Percentage decrease = 7.77% (15/193 x 100)

= 8%

Thus, we can conclude that Sarah's heart rate has decreased by about 8%.

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What is the graph of a quadratic equation and inequality called?

Answers

The graph of quadratic inequality when plotted represents the parabola.

The quadratic inequality will have a range of solutions, unlike the quadratic equation.

The quadratic inequality could be solved using factorization method for example

The quadratic inequality x²+6x+5 ≤0 can be solved by factorizing but instead of two solutions, there are a range of solutions.

For given equation we need to calculate value of x such that the graph is less than zero.

Hence solution to this inequality can be written as

−5≤x≤−1.

And the graph of given quadratic inequality represents the parabola.

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two numbers which differ by 3 have a product of 88. Find the two numbers.

Answers

Answer:

Step-by-step explanation:

Let's call the two numbers x and y, where x is the smaller number and y is the larger number. We are given that x and y differ by 3, which means y - x = 3. We are also given that the product of x and y is 88, which means x * y = 88. We can solve this system of equations by substituting the second equation into the first equation:

y - x = 3

y = x + 3

Substituting this expression for y into the second equation, we get:

x * (x + 3) = 88

x^2 + 3x - 88 = 0

This is a quadratic equation that we can solve using the quadratic formula:

x = (-3 +/- sqrt(3^2 - 41(-88))) / (2*1)

= (-3 +/- sqrt(9 + 352)) / 2

= (-3 +/- sqrt(361)) / 2

= (-3 +/- 19) / 2

= -11/2 or 8/2

Therefore, the two numbers are x = -11/2 and y = 8/2, or x = -5.5 and y = 4. These are the solutions to the original system of equations.

Answer:

let x, x 3 be two figures

also,
x( x 3) = 88

x2 3x- 88 = 0-88 = 11 ×(- 8)
= x2 11x- 8x- 88 = 0 3 = 11- 8

= x( x 11)-8( x 11) = 0
= ( x 11)(x-8) = 0

x = -11 or x = 8
verification 8 ×( 8 3) = 8 × 11 = 88

- 11 ×(- 11 3) = - 11 ×- 8 = 88
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How do you write quadratic equations in standard form give at least 3 examples?

Answers

The quadratic equations are

a) x² + 5x - 6 = 0  ( the roots are x = -6 , x = 1 )

b) x² - 5x + 6 = 0  ( the roots are x = 2 , x = 3 )

c) x² + 2x - 3 = 0  ( the roots are x = -3 , x = 1 )

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation in the standard form is ax² + bx + c = 0

Now , the value of A is

a)

Let the quadratic equation be x² + 5x - 6 = 0

Now , on simplifying the equation , we get

x² + 5x - 6 = 0

x² - x + 6x - 6 = 0

Taking the common factors in the equation , we get

x ( x - 1 ) + 6 ( x - 1 ) = 0

On factorizing the equation , we get

( x + 6 ) ( x - 1 ) = 0

So , ( x + 6 ) = 0 or ( x - 1 ) = 0

And , x = -6 or x = 1

So , the roots of the quadratic equations are x = -6 or x = 1

b)

Let the quadratic equation be x² - 5x + 6 = 0

Now , on simplifying the equation , we get

x² + 5x + 6 = 0

x² + 2x + 3x - 6 = 0

Taking the common factors in the equation , we get

x ( x + 2 ) + 3 ( x + 2 ) = 0

On factorizing the equation , we get

( x + 3 ) ( x + 2 ) = 0

So , ( x + 3 ) = 0 or ( x + 2 ) = 0

And , x = -3 or x = -2

So , the roots of the quadratic equations are x = -2 or x = -3

c)

Let the quadratic equation be x² + 2x - 3 = 0

Now , on simplifying the equation , we get

x² + 2x - 3 = 0

x² - x + 3x - 3 = 0

Taking the common factors in the equation , we get

x ( x - 1 ) + 3 ( x - 1 ) = 0

On factorizing the equation , we get

( x + 3 ) ( x - 1 ) = 0

So , ( x + 3 ) = 0 or ( x - 1 ) = 0

And , x = -3 or x = 1

So , the roots of the quadratic equations are x = 1 or x = -3

Hence , the quadratic equations are solved

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pls answer need help.

Answers

Answer:

No

Step-by-step explanation:

5+10<17

Why does the square root of 16 have two answers?

Answers

When we multiply 4 with 4 we get 16 again

when we multiply (-4) with (-4) we get 16. so 16 has 2 square root.

What are Square and Square root ?

There are always two solutions to the square root of a number: a positive response and a negative answer. Because the square of a negative and positive integer is the same, there are two possible solutions.

Squares are the numbers that are produced when a value is multiplied by itself. In contrast, a number's square root is a value that, when multiplied by itself, returns the original value.

The values that result from multiplying an integer by itself are known as square numbers. Among the attributes are:

The square of one is one.Positive squares have positive characteristics.The square of a negative integer has a positive aspect as well.Square of 0 equals 0The value under the root is equal to a number's square root.Only even numbers will be present in every even number's unit location of square.A number's square ends in 1 if either 1 or 9 were substituted for the unit.If a number has a 4 or 6 in the place of the unit, then the square it forms ends in 6.

When we multiply 4 with 4 we get 16 again

when we multiply (-4) with (-4) we get 16. so 16 has 2 square root.

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Which of the following is equivalent to −2(5p − 2q)?

−10p + 4q
−10p − 2q
−7p + 4q
−7p − 4q

Answers

−10p + 4q is equivalent to −2(5p − 2q).

What is meant by equivalent expression?Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).Using the equality (=) symbol, equivalent phrases are represented. Because both expressions have the same value for any value of x, 3(x + 2) and 3x + 6 are identical expressions. 3x + 6 = 3 × 4 + 6 = 18.When two expressions can be expressed similarly or when they can be combined into a single, simpler expression, they are said to be comparable. Furthermore, if values are replaced for the variable in two expressions and they both provide the same result, you can tell if the expressions are similar.

Given data :

−2(5p − 2q)

= -2 x 5p -(-2p) x 2q)

= = 10p + 4q

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the two lines graphed below are not parallel. how many solutions are there to the system of equations

Answers

The number of solutions that are to the system of equations is (a) one

How to determine the number of solutions on the graph

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

The graph

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (3, 1)

Hence, the solution is (3, 1) ie. one solution

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90pts!! please help meh iwill mark brainliest!! please have a good day/night :)
What is the product of 1.2y and 3y?

4.2y
3.6y
3.6y2
4.2y2

Answers

Answer:  3.6y^2

Step-by-step explanation:


To calculate this, you simply multiply the two numbers together: 1.2y * 3y = 3.6y^2.

Answer:

[tex] \sf \: c) \: 3.6 {y}^{2} [/tex]

Step-by-step explanation:

Now we have to,

→ find the product of 1.2y and 3y.

Forming the problem,

→ 1.2y × 3y

Then the product will be,

→ 1.2y × 3y

→ (1.2 × 3)(y × y)

→ (1.2 × 3)y²

→ (3.6)y²

→ 3.6y²

Hence, the answer is 3.6y².

Simplify completely. …..

Answers

By simplifying [tex]\sqrt{75a^{8}b^{5} }[/tex], we get 5[tex]a^{4} b^{2}[/tex][tex]\sqrt{3b}[/tex].

What is square root?

A number can be obtained by multiplying the square root of that integer by itself. The word "square root" is represented by the symbol "sqrt"—square root of, end square root. The opposite of squaring an integer is finding its square root.

How to find square root?

Factoring by squares: Find the factorsSeparate the factors into their own square rootsSolve for the individual squaresFinish solving the equationLong-form factoring:Find the factorsPull duplicate factors outSolve the remaining equationLong division method:Separate your square root base into pairsFind the largest square that divides into the first number or pairSubtract the square from the first number or pairDrop down the next pairMultiply the first digit of the square by twoSet up the next factor equationFind the number that fills the blanksPut the number next to the first digit

[tex]\sqrt{75a^{8}b^{5} } =\sqrt{25*3*a^{4}*a^{4}* b^{2} *b^{2}*b }[/tex]

             =[tex]\sqrt{5*5*3*a^{2}*a^{2}*a^{2}*a^{2}*b^{2}*b^{2}*b }[/tex]

             =5×a×a×a×a×b×b[tex]\sqrt{3*b}[/tex]

             =5[tex]a^{4}b^{2}[/tex][tex]\sqrt{3b}[/tex]

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What is the easiest way to find the domain?

Answers

We simply solve the equation y = f(x) to determine the values of the independent variable x and obtain the domain.

What is the domain?

The collection of all potential inputs for a function is its domain.

For instance, the domain of f(x)=x² and g(x)=1/x are all real integers with the exception of x=0.

The set of numbers x for which a function has a valid definition is known as its domain.

A closed interval is referred to as a function's domain if it is specified over the interval a ≤ x ≤ b.

In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x).

Simply put, x=g(y) will calculate the function's range after we identify g(y).

Therefore, we simply solve the equation y = f(x) to determine the values of the independent variable x and obtain the domain.

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How many solutions does a pair of equations y =- 3 and y 0 has?

Answers

The pair of equations y = -3 and y = 0 have No Solution .

The pair of equations is given as y = 0 and y = -3 .

In order to find number of solutions of the equations ,

we use the graphical method ,

the graph of the equation y = 0 is x axis .

and the graph of the equation y = -3 is a straight line that is parallel to the x axis , as shown in the figure below .

From the graph drawn below , we can see that the two lines are parallel and

We know that , when two lines are parallel they have No Solution .

Therefore , given pair equations have No Solution .

The given question is incomplete , the complete question is

How many solutions does a pair of equations y = -3 and y = 0 has ?

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The function , (1,4) (2,5) (n,3n) has a domain 1

Answers

Considering the given data which include the domain and the range the possible value of n is

1 ≤ n ≤ 7

How to find the possible value of n

The possible value of n will be n such a way that both the domain and the range are not altered

for a domain of 1, 2, 3, 4, 5, 6, 7, 8 using n, 3n will have a range of

1, 6, 9, 12, 15, 18, 21, 22, 24,

The number 24 is outside the range which is 3, 4, 5, 6, 7, 8,,,,,,,20, 22

n = 8 gave the value of 24 hence 8 cannot be the value of n

n is 1, 2, 3, 4, 5, 6, and 7

written in the form: 1 ≤ n ≤ 7

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What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?y = negative 3 x minus 5y = 3 x minus 5y = negative 3 x + 5y = 3 x + 5.

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

The slope-intercept form of a line is [tex]y = mx + b[/tex], where m is the slope, and b is the y-intercept.

To solve for m (the slope), use the formula: [tex]m = \frac{y__{2} - y__{1}}{x__{2} - x__{1}}[/tex], where [tex](x_{1} , y_{1} )[/tex] and [tex](x_{2}, y_{2})[/tex] are the points you are given.

. . . . . . . . m = (17 - 11) / (4-2)

. . . . . . . . m = 6/2

. . . . . . . ∴ m = 3

Substitute the slope, m, into the slope-intercept equation.

y = 3x + b

Now we have to solve for b, the y-intercept. To do so, substitute a point that was given to you into the equation.

I chose the point (4,17), but you can also do (2,11).

. . . . . . . . 17 = 3(4) + b

. . . . . . . . . . remember that the x-variable is being multiplied to the m

. . . . . . . .  -12 + 17 = 12 + b - 12

. . . . . . . .  ∴ 5 = b

Substitute the y-intercept, b, into the slope-intercept equation, and you're done!

[tex]y = 3x + 5[/tex]

What are the 4 steps in constructing a line segment?

Answers

Line Segment has 2 end points.

How to construct a line segment?

Building a line segment of a specified length involves the following stages.

First, draw a line.

Step 2: Pick any point on the line where point A is.

Step 3: Keep one end of the compass on the 0 cm mark at the specified length of the rule to extend it.

Step 4: Draw an arc on the line while maintaining the compass' pointed end on point A.

Make B the arc point.

In this way we can construct any line segment of given length using compass and scale.

Line Segment has 2 end points.

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find (g o f)(3) f(x)=3x-2 g(x)=x^2. A.1 b.-8 c49 d. 52

Answers

Answer:

To find (g o f)(3), we need to first apply f to 3, which gives us f(3) = 3 * 3 - 2 = 7. Then we need to apply g to the result of f(3), which gives us g(7) = 7^2 = 49. Therefore, (g o f)(3) = 49, so the answer is c.

Step-by-step explanation:

What is the graph for y = 3x - 1?

Answers

Answer: i think c or d

Step-by-step explanation:

Answer:

the answer would be D

Step-by-step explanation:

Find the solution of the system of equations.
-5x - 5у = -30
10x+3y = -3

Answers

Refer to the photo taken.

What are the example of exponential equation?

Answers

Exponential equation has tow major types

exponential decay

f(x) = a(1.16)^x

exponential growth

f(x) = a(0.84)^x

What are exponential equation?

Exponent-based equations in which the exponent or a portion of the exponent is a variable are known as exponential equations.

This is a type of function that are of 3 main parts

the starting or initial value

base function

the exponents

Atypical example includes:  f(x) = 300(1.16)^x

the starting = 300

the base = 1.16

the exponents = x

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so forth.

The base is what determines exponential growth or decay

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True or False: Only animals can move pollen from plant to plant.A. TrueB. False PLS HELP ILL GIVE YOU BRAINLEIST PLS PLS PLS PLS PLS PSL Im about to spam questions if you can answer them please do . En las 5 palabras, separalas en silabas, subraya la silaba mas fuerte (tonica) y ponle acento escritosi lo necesita.(Si no puedes poner el acento escrito, dime donde va). In the 1780s, all of the following were problems facing the new nation except 1. The new president was a tyrant2. There were intense divisions among the different states3. The national government of the United States was too weak4. The new nation struggled with a large war dept Brainliest if you can answer question 12 right :) Can anyone help with this? Ming took a cab across town. His fare was $22, and he leaves an 18, percent tip.What is the total amount Ming pays the cab driver? A bag of flour weighs 15 kg. A baker has one bag of flour. She uses 1.065 kg every day. How much flour does she use in 8 days? How much flour is left over after 8 days? Traffic Followers, a group that promotes road safety, has a strict code of penalizing members who violate traffic rules. In some cases, nonconformity can result in expulsion from the group. The given scenario is an example of a group exercising _____ over its members. a. expert power b. coercive power c. referent power d. reward power The table shows a proportional relationship between the number of pounds of grapespurchased and the total cost of the grapes. A row of values is missing in the table.Which number of pounds of grapes and total cost of the grapes could be used as themissing values in the table?Select each correct response.Question 1 options:Pounds of grapes: 2Total cost: $1.38Pounds of grapes: 3Total cost: $2.53Pounds of grapes: 6Total cost: $3.68Pounds of grapes: 8Total cost: $5.52Pounds of grapes: 11Total cost: $8.97 Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Baseline) (y Superscript negative 2 Baseline) Over 2 (x Superscript 4 Baseline) (y superscript negative 4 Baseline) EndFraction) Superscript negative 3, when x = negative 1 and y = 2.Step 1:Substitute x = negative 1 and y = 2 into the expression.(StartFraction (negative 1) Superscript negative 3 Baseline (2) Superscript negative 2 Baseline Over 2 (negative 1) Superscript 4 Baseline (2) superscript negative 4 Baseline) EndFraction) Superscript negative 3Step 2:Simplify the parentheses.(StartFraction (2) Superscript 4 Baseline Over 2 (negative 1) Superscript 4 Baseline (negative 1) cubed (2) squared EndFraction) Superscript negative 3 Baseline = (StartFraction (2) squared Over 2 (negative 1) Superscript 7 Baseline EndFraction) Superscript negative 3Step 3:Evaluate the power to a power.StartFraction (2) Superscript negative 6 Baseline Over 2 Superscript negative 3 Baseline (negative 1) Superscript negative 21 baseline EndFractionStep 4:Use reciprocals and find the value.StartFraction 1 Over 2 cubed (2) Superscript 6 Baseline (negative 1) Superscript 21 Baseline EndFraction = StartFraction 1 Over 8 times 64 times (negative 1) EndFraction = Negative StartFraction 1 Over 512 EndFractionIn which step did Rena make the first error? use exterior angle measures to solve for h PLEASE HELPThe filament of a car headlight is a thin wire that glows when electricity passes through it. Parabolic reflectors with a filament at the focus send light out in a straight beam. The cross section of a 2 inch deep headlight reflector has the equation y2=6x. A. Draw a sketch of this situation. Include the location of the focus in your drawing.B. How wide is the beam of light projected from the headlight's reflector? Show all work and give your answer as a decimal rounded to hundredths place. guyssss ANYONEEE PLSSS!!!!!I NEED HELP LIKE ACTUALLY PLS HELP ASAP Find the volume of the hemisphere. Round to the nearest tenth.the hemisphere ft(or radius i guess) is 4 What is the correct definition of group team sports?A. Sports in which only one player per team competes at a time, withindividual scores counting toward the team score.O B. Sports consisting of more than one player on the field or court at atime.C. Sports which cannot be played by fewer than five people per team.D. Sports which cannot be played by fewer than ten people per team. For Tom's savings account, the interest earned varies jointly with the principal and amount of time (in years) since opening the account. If Tom opened the account 3 years ago with $1,200 and earned $144 in interest, how much interest will he have earned 8 years after opening the account? if a cone has a volume of 28.63 and a diameter of 4.5 what is the height Answer 2 of these questions please :) Ill give brainliest:)