please help: Can a triangle have side lengths with the given lengths? Explain. 8m, 10m, 19m​

Answers

Answer 1

Answer:

no

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

8+10 is 18

which is less than 19


Related Questions

Which expression is equivalent to

Answers

Answer:

4 ^ -8

Step-by-step explanation:

What is the best sequence of names to
identify the elements of this set of
numbers?
(0.67,3-√4,√8,0.14)

1) real, rational, irrational, irrational,
irrational
2) rational, real, integer, irrational,
irrational
3) rational, rational, real, real,
irrational
4) rational, rational, integer, irrational,
rational

Answers

On solving the provided question, we can say that - sequence (0.67,3-√4,√8,0.14) are the  rational, real, integer, irrational, irrational.

what is a sequence?

A sequence is a collection of numerals (referred to as "terms"), for example, 2, 5, 8. A specific pattern that some sequences follow may be leveraged to make them infinitely long. To continue the series, add 3 and use the example of 2,5,8. Formulas that show where to look for words inside a sequence can be found there. Informally, a sequence in mathematics is a collection of items that are in some order (or events). It has components, much like a set (also called elements or terms). The length of the sequence refers to the total, potentially unlimited number of ordered items. arranging two or more objects in a logical sequence. Chronological.

here,

the given sequence is (0.67,3-√4,√8,0.14)

as we can see that in the sequence we have a rational number, integer, real number and a irrational so,

the answer is  rational, real, integer, irrational, irrational.

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A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available, how many ways can the knobs be painted

Answers

If six different colors of paint are available, 360 ways can the knobs be painted.

how many ways can the knobs be painted?

A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available,

When examining permutations and combinations, we use factorials. Permutations tell us how many different ways we can arrange things if their order matters. Combinations tells us how many ways we can choose k item from n items if their order does not matter.

coat hanger has four knobs

6!  / 4! ( 4!)

6 * 5 * 4* 3 / 4 * 3 * 2* 1 (4 * 3 * 2 * 1)

= 30 * 1 2

=360

360 ways can the knobs be painted.

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Bilquis finds some nickels and quarters in her piggy bank. How much money (in
cents) does she have if she has 7 nickels and 5 quarters? How much money
does she have if she has n nickels and q quarters?

Answers

Answer:Bilquis finds some nickels and quarters in her piggy bank. How much money (in

cents) does she have if she has 7 nickels and 5 quarters? How much money

does she have if she has n nickels and q quarters?

Step-by-step explanation:

Answer: 157 cents ($1.57)

Step-by-step explanation: Nickels are worth 5 cents each, so 5 cents times 7 nickels equals a total of 35 cents. After that, we have 5 quarters which cost 25 cents each, so 25 cents times 5 quarters equals a total of 125 cents. Combine these two products, and you get 157 cents. Or, if you want it in dollars, you can divide 157 by 100 cents (there are 100 cents in a dollar) and end up with $1,57.

i need help on both sections PLEASE!!!

Answers

Answer:

Step-by-step explanation:

a.3x-2

b.3x+2

c.3x-2

d.3x-2

so. the answer are a, c, d equivalent to 3x-2

a forest covers 59,000 acres. A survey finds that 0.6% of the forest is old oak trees How many are acres of old oak trees are there?

Answers

Answer:

354acres

Step-by-step explanation:

Total acre = 59000

Percentage of old oak acre trees is 0.6%

Therefore, the acres of old trees are calculated:

59000 * (0.6÷100) = 354acres

Evaluate the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1)

Answers

The gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1)

This gradient is a vector that points in the direction of the greatest rate of increase of the function f(x, y, z) = log(x2 + y2 + z2). To evaluate this gradient, the partial derivatives of the function with respect to x, y, and z must be calculated.

The partial derivative of the function with respect to x is (2x / (x2 + y2 + z2)). When x is 1, this simplifies to 2/1. Similarly, the partial derivative with respect to y is 0, and the partial derivative with respect to z is (2z / (x2 + y2 + z2)), which simplifies to 2/1 when z is 1. Therefore, the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1).

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Choose three true statements about the angles of the figure

1: Z1 and the 55* angle are adjacent

2: mZ1=55* because Z1 and the 55* angle are vertical angles

3: mZ2=125* because Z2 and the 55* angle are supplementary

4: mZ2 cannot be determined from the information

5: mZ1=180*-55*

6: mZ2=180*-55*-45*

Answers

Answer:

2,5,6

Step-by-step explanation:

-Z1 and 55*are vertical angles

-Z1 and 55*are angles on a straight line=180*

this means 180*=55*+Z1

make Z1 subject of the formula- Z1=180*-55*

- mZ2,55*,45* are all angles in the given triangle

since the sum of angles in a triangLe =180*

therefore-180*=Z2+55*+45*

make Z2 the subject of the formulary

Z2=180*-55*-45*

Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56.
What are the odds in favor of Adam seeing a meteor in the next 10 minutes?

Answers

Answer: The odds in favor of an event happening are the ratio of the probability of the event happening to the probability of the event not happening. To find the odds in favor of an event, you can use the formula:

Odds in favor = probability of event occurring / (1 - probability of event occurring)

In this case, the event is that Adam will see a meteor in the next 10 minutes. The probability that this event will occur is 0.56. Therefore, the odds in favor of this event occurring are:

Odds in favor = 0.56 / (1 - 0.56)

= 0.56 / 0.44

= 1.27

So, the odds in favor of Adam seeing a meteor in the next 10 minutes are 1.27 to 1.

It means that Adam is 1.27 times more likely to see a meteor in the next 10 minutes than not seeing one.

Step-by-step explanation:

The odds in favor of Adam seeing a meteor in the next 10 minutes are 14 : 11

A line with a slope of 0 passes through the points (-2,0) and (-8,c). What is the value of c?

Answers

The value of c will be 0.

What is a slope?

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

m = y2 - y1 / x2 - x1

where m = 0

y2 = c

y1 = 0

x1 = -2

x2 = -8

0 = c - 0 / -8 - -(2)

0 = c - 0 / -8 + 2

0 = c - 0 / -6

c - 0 = -6(0)

c - 0 = 0

c = 0

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How do you solve 2 polynomial equations?

Answers

The steps to solve two polynomial equations are given below.

What is polynomial?

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

x^2 + 4x + 7 is an illustration of a polynomial with a single indeterminate x.

Apply the Zero Factor Property to an Equation Solving.

ZERO. FACTOR, write the equation with one side equal to zero. the expression by a factor.

PROPERTY. Solve the equation by setting each factor to zero.

Check by adding substitutes to the initial equation.

Write a polynomial equation in standard form before attempting to solve it. Factor it, then set each variable factor to zero once it has reached zero. The original equations' solutions are the solutions to the resulting equations. Factoring cannot always be used to solve polynomial equations.

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I don’t know just need the answer

Answers

On solving the provided question we can say that It is isosceles triangle the value of QR is 1.3

An isosceles triangle is what?

Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal. An isosceles triangle is one that has two equal-length sides in geometry. With the latter specification, the equilateral triangle is included as a special case even though it is commonly stipulated that it must have at least two sides of equal length.

It is isosceles triangle so, that

ratio of QT/QR = ET/RS

4.7/X = 4.7/1.3

X = 1.3

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. Which of the following is the graph of the equation y = 2x + 3?

Answers

Answer:

The graph of the equation y = 2x + 3 is a straight line that passes through the point (0,3) and has a slope of 2.

It can be represented as a set of points in a coordinate plane. The slope of the line is 2, so for every unit increase in x (horizontal coordinate), y (vertical coordinate) increases by 2 units. The y-intercept of the line is 3, so when x is 0, y equals 3.

A line passing through (0,3) with a slope 2 can be represented as (x, 2x + 3)

It is important to note that an equation in the form of y = mx + c, with m being the slope and c being the y-intercept, always represents a straight line in a coordinate plane.

Step-by-step explanation:

What equation represents a linier function that is proportional

Answers

Answer:

d

Step-by-step explanation:

How can you tell if a graph is linear or logarithmic?

Answers

A linear graph will have a straight line, whereas a logarithmic graph will have a curved line.

1. Look at the graph and identify the shape of the line.

2. If the line is straight, then the graph is linear.

3. If the line is curved, then the graph is logarithmic.

When looking at a graph, you can tell if it is linear or logarithmic by examining the shape of the line. A linear graph will have a straight line, whereas a logarithmic graph will have a curved line. This is due to the fact that a linear graph is plotted by plotting the points of a linear equation, whereas a logarithmic graph is plotted by plotting the points of a logarithmic equation. The linear equation is of the form y = mx + b, where m is the slope of the line and b is the y-intercept. The logarithmic equation is of the form y = logb(x), where b is the base of the logarithm. Thus, the shape of the line will depend on the form of the equation used to plot the graph. If the line is straight, then it is a linear graph, and if it is curved, then it is a logarithmic graph.

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What is the value of log2 base 2?

Answers

the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one

How do you find the value of log base 2?

Properties of Log Base 2

Multiply two numbers with base 2, then add the exponents. Divide two numbers with the base 2, subtract the exponents. Power Rule: Raise an exponential expression to power and multiply the exponents.

Use the change-of-base formula:

since we know that natural log and log with base 10 are different

So, if we want to write log3(6) as a logarithm of base 2, in these example a = 3, x = 6, b = 2:

Hence ,  the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one

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What is y 0 on a graph?

Answers

y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.

What is linear equation ?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Because the equation y=0 has a slope of 0, the resulting graph must be a straight horizontal line. This is true for all equations with a slope of 0.

Hence , y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.

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How do you find the zero’s algebraically?

Answers

To find the zeros of a polynomial algebraically, you can use the following steps:

Write the polynomial in standard form, with the terms arranged in descending order of the degree of the term. For example, if the polynomial is 3x^2 - 2x + 5, it is already in standard form.

Set the polynomial equal to zero. For example, if the polynomial is 3x^2 - 2x + 5, you would set the equation equal to zero like this:

3x^2 - 2x + 5 = 0

Use the quadratic formula to find the solutions (i.e., the zeros) of the equation if the polynomial is a quadratic (degree 2). The quadratic formula is:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a, b, and c are the coefficients of the polynomial, and sqrt represents the square root.

For example, if the polynomial is 3x^2 - 2x + 5, the solutions would be:

x = (-(-2) +/- sqrt((-2)^2 - 4 * 3 * 5)) / (2 * 3)

x = (2 +/- sqrt(4 - 60)) / 6

x = (2 +/- sqrt(-56)) / 6

Since the square root of a negative number is not a real number, there are no real solutions (zeros) for this polynomial.

Use the Rational Root Theorem to find the solutions of the equation if the polynomial is not a quadratic. The Rational Root Theorem states that if a polynomial of degree n has a rational root p/q (where p and q are integers and q is not equal to zero), then p must be a divisor of the constant term and q must be a divisor of the coefficient of the term of highest degree.

For example, if the polynomial is x^3 - 2x^2 + x - 6, the constant term is -6 and the coefficient of the term of highest degree is 1. The divisors of -6 are -6, -3, -2, -1, 1, 2, 3, and 6. The divisors of 1 are 1 and -1. Therefore, the possible rational roots of this polynomial are -6, -3, -2, -1, 1, 2, 3, and 6.

To find the actual roots, you can try each of these numbers as a root and see if it works. For example, if you try -6 as a root, you would get:

(-6)^3 - 2(-6)^2 + (-6) - 6 = 0

(-216) - (-72) + (-6) - 6 = 0

-144 - 6 - 6 = 0

-156 = 0

This equation is not true, so -6 is not a root of the polynomial. You can repeat this process for each of the other possible rational roots until you find all of the roots of the polynomial.

What is the difference between an undecidable problem and an intractable problem?

Answers

Therefore , the solution of the given problem of tractable problem comes out to be Undecidable troubles are those for which there will never be a computer solution.

What does a tractable problem actually mean?

a technique that completes a manageable task in a polynomial period of time. Utilizing the polynomial upper bound is advantageous. A problem is said to be intractable if it cannot be solved in a polynomial amount of time. The bound has a minimum that is exponential.

Here,

Intractable problems would be those in which there is significant proof that, while they can be solved by a desktop, they cannot be solved quickly enough to be actually useful in practice.

Undecidable troubles are those for which there will never be a computer solution, whereas undecidable difficulties are those for which there will never be a computer solution.

Therefore , the solution of the given problem of tractable problem comes out to be Undecidable troubles are those for which there will never be a computer solution.

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A recipe ue 1/3 cup of flour and 1/8 cup of ugar. How much flour and ugar doe the recipe ue altogether

Answers

Altogether, the recipe uses 1/2 cup of flour and 1/8 cup of sugar.

What is altogether?

Altogether in math refers to the sum of two or more numbers or values. It is a way of combining two or more items to obtain a total. In math, the term "altogether" is used to denote the sum of all the individual items, as opposed to all of them considered as one. For example, the sum of the numbers 2, 4, and 6 is 12, which is the "altogether" in math.

To calculate this, we must convert the fractions into decimals and then add them together.

The 1/3 cup of flour can be converted to 0.33 cup, and the 1/8 cup of sugar can be converted to 0.125 cup.

When added together, they equal 0.455 cup, or 1/2 cup. Therefore, the recipe uses a total of 1/2 cup of flour and 1/8 cup of sugar.

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An elliptical mirror measures 16 inches wide and 20 inches high. The ellipse is centered at (0, 52) on a coordinate plane, where units are in inches. Which equation represents the mirror?
(y - 52)²/400 + x²/256 = 1
(y – 52)²/100+ x²/64 = 1
X²/400+ (y-52)²/256 = 1
x²/100+(y-52)²/64 = 1

Answers

Equation of ellipse is x²/400 + (y-52) ²/256 =1

What is ellipse?

An ellipse is an oval shaped close geometrical figure. Ellipse has two radius, one is horizontal, and the other is vertical. An ellipse can be stretched either horizontal direction or vertical direction.

Which equation represent the mirror?

given, width of elliptical mirror = 16 inches

height of elliptical mirror = 20 inches

the center of ellipse = (0, 52)

as the width of elliptical mirror is less than height so the ellipse has vertical major axis.

vertical radius is denoted by b.

and horizontal radius is denoted by a.

as per the question, a = 16 inches and b = 20 inches.

we know the equation of ellipse whose major axis is vertical and center at the origin is shown by

x² / b² + y²/ a² = 1

we are given information about an ellipse having center (0, 52) and vertical radius 20 and horizontal radius 16.

the equation of this ellipse is.

x² / (20) ² + (y -52) ²/ (16)² = 1

x²/400 + (y - 52) ² /256 = 1

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Given ƒ(x) = − x² – 14, find ƒ (6)

Answers

Answer:

f(6) = - 50

Step-by-step explanation:

substitute x = 6 into f(x) , that is

f(6) = - 6² - 14 = - 36 - 14 = - 50

Answer:

-50

Step-by-step explanation:

f ( x ) = - x² - 14

Accordingly, to find the value of f ( 6 ) you have to replace x with ( 6 ).

f ( 6 ) = - (6)² - 14

f ( 6 ) = - 36 - 14

f ( 6 ) = -50

The experimental calculation of the specific heat of aluminum was found to be. 156 cal/g °C, but the actual value was given as. 185 cal/g °C. What is the percent error?

Answers

The percentage error is 16%

We know that the formula for the percentage error.

E = (absolute error / actual value) × 100

The formula for the absolute error is:

A = |actual value - experimental value|

A = |V1 - V2|

where V1 is the actual value

V2 is the experimental value

E is the percentage error

A is the absolute error

In this question, the experimental calculation of the specific heat of aluminum = 156 cal/g °C

And the actual specific heat of aluminum = 185 cal/g °C

Using above formula of absolute error,

A = |185 - 156|

A = 29 cal/g °C

And the percent error would be,

E = (absolute error / actual value) × 100

E = (29 / 185) × 100

E = 0.16 × 100

E = 16%

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two cards are chosen at random from a deck of 52. what is the probability that both cards are numbers (2 through 10) totaling to 12

Answers

The probability is 0.3845.The probability of anything occurring is known as probability.

How are probabilities calculated?The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.

Explanation:

2/52 * 10/52  = 20/52 = 0.3845.

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B. ) For Service B, is the additional charge per mile greater or less than 30 cents per

mile of the trip? Explain your reasoning.

Answers

The additional charge per mile for Service B is less than 30 cents per mile of the trip. This is because the rate for Service B is 20 cents per mile plus a flat fee of $10, which works out to less than 30 cents per mile for longer trips.

For a trip of 10 miles, Service B would cost

(10 x 0.20) + 10

= $12.

For a trip of 20 miles, Service B would cost

(20 x 0.20) + 10

= $22.

Therefore, the additional charge per mile for Service B is

(12/10)

= 1.2 for the 10 mile trip and

(22/20)

= 1.1 for the 20 mile trip.

Both of these are less than 30 cents per mile.

The additional charge per mile for Service B is less than 30 cents per mile of the trip because the rate for Service B is 20 cents per mile plus a flat fee of $10, which works out to less than 30 cents per mile for longer trips. To demonstrate this, for a 10 mile trip, the total cost would be $12, and for a 20 mile trip, the total cost would be $22. This works out to an additional charge per mile of 1.2 and 1.1 cents respectively, which are both less than 30 cents per mile.

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HELP BRAINLIEST FOR FASTEST AND CORRECT NO NEED TO EXPLAIN

Answers

Answer:

The answer is 48

Step-by-step explanation:

Answer:

48 students

4*12=48

A colony of 100,000 bacteria doubles every 31 minutes. To the nearest whole number, what will the population be 124 minutes from now?

Answers

Answer:

Below

Step-by-step explanation:

How many times will the colony double ?    124 / 31 = 4 times

2^4   * 100 000 = 1 600 000

For each set of values for a and b evaluate the given expressions and record your answers in the table. ( I only need this one).


A = -1/2 B =6

A divided by -b

PLEASE HELP

Answers

Answer:

Set1 = 1/12

Set2 = 1/12

Set3 = -12

Step-by-step explanation:

Substitute, use Keep-Change-Flip to handle division when there's fractions involved. See image.

Also to multiply fractions, multiply

top×top and bottom×bottom straight across. Also negative times a negative is a positive and negative is like opposite so -(-6) is 6 and -(-1/2) is 1/2.

see image.

I WILL MARK BRAINLYIST


Describe a meal that you could put together that provides 4 servings of both a main

course and a side dish. Explain how you know that it will not exceed the weight limit of the box

Answers

A meal that you could put together that provides 4 servings of both a main

course and a side dish and not exceeding the weight limit is 4 servings of

chicken and 4 servings of baked beans.

What are the types of representing data?

Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.

Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.

Given, Each box can hold a maximum of 44 ounces.

By observing the given table we see 4 servings of chicken would weight

2×12.6 oz = 25.2 oz.

And 4 serves of baked beans weigh 14.2 oz.

Therefore, The total serving would weigh (25.2 + 14.2) oz.

= 39.4 oz.

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What is the circumference of a circle with sector area 9π and arc measure 90 degrees?

Answers

By using the area of circle formula, the solution of the given problem of circle comes out to be 6 + π cm

Describe the circle.

Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.

Here,

A 9 Pi square centimeter circle's sector has a 60 degree center angle. The sector's exterior border is

Circle area is equal to. πR² = 9π

Circumference =2πR

=> 2π*3 = 6π cm

Arc length equals (60/360)*6 to cm

Arc's perimeter is calculated as follows: Radius + Length of Arc + Radius = π +3 + 3 = 6 +  π cm

Therefore , the solution of the given problem of circle comes out to be

6 + π cm.

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By using the area of circle formula and circumference of a circle formula, the solution of the given problem of circle comes out to be 12π cm

Describe the circle.

Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.

Here,

sector area of circle = 9π

arc measure = 90°

Area of sector  = (arc/360°)*πr²

⇒ 9π = (90°/360°)πr²

⇒ 9π = (1/4)πr²

⇒ 4*9π = πr²

⇒ 36 = r²

⇒ 6² = r²

r = 6

and Circumference of circle = 2πr

=> 2π*6 = 12π cm

Therefore , the solution of the given problem of circle comes out to be

12π cm.

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What happens when the narrator has to pay the bill at the eating house? The narrator gives him the worthless bank note and leaves. The landlord sees the bank note and begs him to keep eating at his establishment. The landlord doesn't believe the narrator when he shows him the bank note, and so he throws him out. The landlord is shocked at the note and lets the man forgo paying the bill because the landlord cannot make change A rectangle has a perimeter represented by the expression 4x8. Which expression also represents this perimeter? 4(x-8), 2(2x-8), 2(2x-4), 4(2x-4) What is the inverse of the inverse of P Q? the cube root parent function is reflected and stretched by four. it is translated six to the right and five down. write an equation that represents this new function Graph y = - 1/2x + 3 use the line tool and select two points on the line Please help, would be greatly appreciated! For each of the following molecules, would you expect greater solubility in water or in hexane?a. tolueneb. sucrose (table sugar)c. isobutened. ethylene glycol For an entire species to survive, it must allow for new generations to maintain the population. This is the challenge of ___________. Which bag of potatoes is the better deal? 1. In a comparison taste test of two juice drinks, 780 people preferredCranberry Blast. Only 220 people preferred Melon Splash. Completeeach statement.a. There were more people who preferred Cranberry Blast.b. In the taste test, () of the people preferred Cranberry Blast.c. People who preferred Cranberry Blast outnumbered those whopreferred Melon Splash by a ratio of () to (). Students at a middle school are asked to record how they spend theirtime from midnight on Friday to midnight on Sunday. Carlos recordshis data on his phone. Use his phone sereen for Exercises 4-7.Decide whether each statement is an accurate description of howCarlos spent his time that weekend. Explain your reasoning. Please refer to the smartphone image. ()Carlos spent one-sixth of his time watching television. ()The ratio of hours spent watching television to hours spent doingchores or homework was 3 to 1. ()Sports, Internet, and watching television took about 33% ofhis time. ()Time spent doing homework was only 20% of the time spentwatching television. ()Sleeping, eating, and "other" activities took up 12 hours morethan all other activities combined. ()A class at Middlebury Middle School collected data on the types ofmovies students prefer. Complete each statement using the table.Types of Movies Preferred by Middlebury StudentsAction- 75,90Comedy-105,150Total-180,240The ratio of seventh-graders who prefer comedies toeighth-graders who prefer comedies is () to ().b. The fraction of total students (both seventh-and eighth-graders)who prefer action movies is ().C. The fraction of seventh-graders who prefer action movies is ()The sketches betow show two members of the Grump family. TheCrumps are geometrically similar. Use the figures in exercises 33- 36.Grump A- 0.8 in.Grump B-1.2 in.33. Write statements comparing the lengths of corresponding segmentsin the Grumps. Use each concept at least once.a. ratiob. fractionc. scale factorSuppose a news story reports "A survey found thatof all Americans watched the Super Bowl on television." Bishnu thinks this means the survey reached seven people and four of them watched the Super Bowl on television. Do you agree with him? If not, what does theStatement mean? () A drawing of a leaf and a dichotomous key are provided.What leaf is shown in the drawing Identify one advantage to each of the following models of electron configuration: Dot structures Arrow and line diagrams Written electron configurations Type in your answer below. Find the output (y) of the function y= -7+5 if the input is (x) is 15Y= Which of the following is not a risk normally associated with Bottom of the Pyramid strategies?A. A low-end version of a brand may detract from the overall brand attractiveness.B. The new low-cost products they develop may cannibalize the sales of their core products.C. Entrenched competitors can impact the ability of the new firm to enter the market successfully.D. New products may be perceived as exploiting the privileged customer with substandard products. To pay for a $15,900 car, Donna made a down payment of $4800 and took out a loan for the rest. On the loan, she paid monthly payments of $245.70 for 4years.(a) What was the total amount Donna ended up paying for the car (includingthe down payment and monthly payments)?(b) How much interest did Donna pay on the loan? A negative charge of -0. 0005 C exerts an attractive force of 9. 0 N on w second charge that is 10 m away. What is the magnitude of the second charge? 9In a speech about smoking, what type of supporting data might Iman offer?A. Clearly, CDC statistics show that people's health is endangered by secondhand smoke.B. Smoking should be banned in public places because secondhand smoke is dangerous.C. Secondhand smoke contributes to 7,330 lung cancer deaths per year according to the CDC.D. Some might say that banning smoking violates their rights, but secondhand smoke exposure is a violation of my right to breathe clean air. How do banks make money from the loans they give? How do you identify the main idea and supporting details? A 45 g golf ball collides elastically with an identical ballat rest and stops. If the second ball's final speed is3.0 m/s, what was the first ball's initial speed?