Mathematics High School

Anyone know the answer to this question?

Answers

Answer 1

Slope intercept form

y = mx + b, where m is the slope, b is the y-intercept

Question 9

The slope can be found as the quotient or rise/run.

Rise - difference of y-coordinates of two points, run - difference of x-coordinates of same two points.

Find the slope using the first two pairs of coordinates in the table:

m = (- 2 - (-3)) / (0 - (-3)) = 1/3

Question 10

The y-intercept is the point of intersection of the line with the y-axis.

This point has x = 0 coordinate. On the table we can see the corresponding y- coordinate is - 2:

b = -2

Question 11

The equation of the line is obtained by substituting the values of m and b into slope-intercept form:

y = (1/3)x - 2

Answer 2

The slope is 1/3 and the y-intercept is -2, so the equation is:

y = (1/3)*x - 2

How to get the slope of the table?

if we use the first two pairs on the table we get:

(-3, -3) and (0, -2)

Then the slope of the linear relation will be:

a = (-2 - (-3))/(0 - (-3)) = (-2 + 3)/3 = 1/3

The slope is 1/3.

How to get the y-intercept?

We can see that the point (0, -2) is on the table, so the y-intercept is y = -2

How to write the equation?

The linear equation in the slope-intercept form is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Then we will get:

y = (1/3)*x - 2

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Related Questions

I am a 4-digit number larger than 2,500. No two of my digits are the same. The product of the thousands digit and the hundreds digit is equal to the ones digit. The sum of my digit is 16.
Read the clues. Find the number

Answers

Step-by-step explanation:

4-digit number abcd

a >= 2

a×b = d

so, 2 <= b <= 4 to allow a single digit result of a×b, and if b would be 1 or 0, the result would be either a copy of a or of b violating the rule that no 2 digits are the same.

that means a >= 3, because with a = 2 and b <= 4 the number can't be larger than 2500.

and that again means 2 <= b <= 3 and 3 <= a <= 4 to allow a single digit result of a×b.

the sum of "my digit" ? I guess you mean the sum of all digits is 16.

a + b + c + d = 16

so, my first guess :

a = 3

b = 2

therefore

d = 3×2 = 6

that means we have already 11 as sum of the digits, that leaves 5 for c.

so, the number would be

3256

the only alternative would start with a = 4 and then b = 2.

but that would make d = a×b = 8. abd 8 + 4 + 2 = 14, and that leaves for c only 2 to sum up to 16, and that would duplicate b.

so, 3256 is the only solution.

Can someone please help

And explain why correct

If your gonna be immature just go on with your day

Answers

Answer:

Step-by-step explanation:

It is the only segment that meets a side of triangle ABC at a right angle.

In the following figure, BA≅CA, and D is on BC

Answers

If BD = 3, then it means that CD is also equal to 3 by definition of Isosceles triangle.

What is the missing length of the triangle?

We are given a triangle with the condition that BA ≅ CA. This means that side BA has a length equal to that of side CA.

Now, an Isosceles triangle is defined as a triangle that has at least two sides of equal length. This means that the given triangle ABC is an Isosceles triangle.

Now, since Triangle ABC is an Isosceles triangle, it means that when we draw a perpendicular line through the point joining the two equal sides, it bisects the third side of the triangle.

Thus, it means that BD is congruent to CD.

If BD = 3, then it means that CD is also equal to 3 by definition of Isosceles triangle.

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I need help with this problem, I have been stuck on it for awhile.

Answers

After 4 stops both buses will have the same amount of riders that is 27.

What are mathematical operations, exactly?An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a good output value.The operation's arity is determined by the number of operands.

So, Bus A: 15 people ( +3 at every stop)

Bus B: 35 people ( -2 at every stop)

Then,

Stop 1: Bus A (15 + 3) = 18; Bus B (35 - 2) = 33Stop 2: Bus A (18 + 3) = 21; Bus B (33 - 2) = 31Stop 3: Bus A (21 + 3) = 24; Bus B (31 - 2) = 29Stop 4: Bus A (24 + 3) = 27; Bus B (29 - 2) = 27

Therefore, after 4 stops both buses will have the same amount of riders that is 27.

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Given t(x)=4x−7,what is t(x)when x=3

Answers

Answer:

The correct answer is 4(x-7)²-(x-7)+3.

Step-by-step explanation:

When we have captured (t*s)(x), that is as equivalent as t(s(x)). To solve this, we take the important role of s(x), x-7, and call in an alternative for it in for every x in t(x). Instead of 4x², we have 4(x-7)²; instead of -x, we have -(x-7). This gives us 4(x-7)²-(x-7)+3.

The leg of a right triangle is 3 units and the hypotenuse is 11 units. What is the length, in units, of the other leg of the triangle? HURRY PLEASE!!!

a
112 units

b
square root 112 units

c
130 units

d
square root 130 units

Answers

Answer:

The correct option is (b) square root 112 units

Step-by-step explanation:

By using Pythagoras theorem,

a² + b² = c²

where a & b = legs of triangle and c = hypotenuse

Hence:

3² + b² = 11²9 + b² = 121b² = 121 - 9b² = 112b = √112

f(x)=b x and g(x)=logbx are inverse functions. Explain why each of the following is true.
a. The translation f₁(x)=b x-h of f is equivalent to a vertical stretch or compression of f .

Answers

The function f₁(x) can be either vertical stretch or vertical compress: TRUE

What do we mean by Logarithmic Function?The following is the formula for basic logarithmic functions: Where b > 0, f(x) = logbx(r), y = logbx.It is the reciprocal of the exponential function x=b∧y.Log functions are denoted by natural logarithm (ln) and common logarithm (log).

Here are a few examples of logarithmic functions:

f(x) = ln (x - 2)g(x) = log2(x + 5)-2h(x) = 2 log x, etc.

So,

Given function:

f(x) = bˣg(x) = logbx

Then,

f₁(x)=b^(x-h)f₁(x)=b^x/b^h

Now, Put bˣ=f(x):

f₁(x)=f(x)/b^hf₁(x)=b^(-h)f(x)f₁(x)=c f(x)

We discovered that:

c=b^(-h)

So, depending on the values of b and h, c can be greater than or less than one.

Therefore, the statement "the function f₁(x) can be either vertical stretch or vertical compress" is TRUE.

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What values of x and y satisfy the system of equations {2x+12y=−173x+2y=7?

Enter your answer as an ordered pair, like this: (42, 53)

If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475), enter it like this: (42/53, 64/75)

If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."

Answers

The solution to the system where the system contains linear equations is (59/16, -65/32)

What are linear equations?

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the solution to the system?

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x + 12y = −17

3x + 2y = 7

Multiply through 3x + 2y = 7 by 6

So, we have

18x + 12y = 42

Subtract the equation 2x + 12y = −17 from 18x + 12y = 42

So, we have

18x - 2x + 12y - 12y = 42 + 17

Evaluate the like terms

So, we have

16x = 59

Divide both sides by 16

So, we have

x = 59/16

Substitute x = 59/16 in 3x + 2y = 7

3 x 59/16 + 2y = 7

This gives

177/16 + 2y = 7

So, we have

2y = 7 - 177/16

Evaluate the difference

2y = -65/16

Divide by 2

y = -65/32

Hence, the solution to the system where the system contains linear equations is (59/16, -65/32)

Answers

Answer:

The weight of the popcorn is off but the potato chips are safe. Simply determine whether each value is within the limit of deviation from eachother.

Is 4/8 equivalent to 7/8

Answers

Answer:

is 7 more than 4 or 4 more than 7?

Step-by-step explanation:

JUST USE YOUR BRAIN!

Answer:

Step-by-step explanation:

of course not. since the denominators are the same, the numerators have to be equal. since the numerators aren't equal, the answer is no

You pay $10 to play the following game of chance. There is a bag containing 12 balls, five are red,
three are green and the rest are yellow. You are to draw one ball from the bag. You will win $14 if
you draw a red ball and you will win $12 is you draw a yellow ball. How much do you expect to
win or loss if you play this game 100 times?

Answers

After playing 100 times the player will loose $-16.67.

Given the outcomes and the probability is:

Outcome Probability

-$10 1 (cost to play)

$14 draw red 5/12

$12 draw yellow 4/12

therefore, expected probability = ∑x.p(x)

x is no of trials and

p(x) is probability of the results.

E(x) = (14)5/12 + (12)4/12 + (0)3/12 - 10

E(x) = -2/12

E(x) = -10.1667

For 100 games the expected value E(100x) =

E(100x) = E(x) × 100

E(100x) = -10.1667 × 100

E(100x) = -16.67 i.e loss after game.

Hence the player lose $-16.67 after 100 games.

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Solve each equation. If necessary, round to the nearest ten-thousandth.1/2log x+log 4=2

Answers

For logarithmic equation 1/2 log x + log 4 = 2, the value of x is 34,040.25

How can a logarithmic equation be solved?

Step 1: Using exponentiation principles, isolate a logarithmic expression (with the same base) on both sides of the equation.

Step 2: balance the arguments.

Step 3: Solve the resultant equation.

Step 4: Double-check your answers.

Given,

1/2 log x + log 4 = 2

log x^(1/2) + log 4 = 2

using logₐ(m.n) = logₐ(m) + logₐ(n)

log e (4 (x^1/2)) = 2

e² = 4x^(1/2)

7.38 = 4√x

Squaring on both sides -

54.4644 = 16x

x = 54.4644 / 16

x = 34,040.25

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Are there any values of x that you cannot substitute into the equation? If so what are they? Same question for y

Answers

Answer: The problem asks to solve for x. Equation B gives you the value of y, y = 2, so you can substitute 2 into Equation A for y.

Step-by-step explanation:

What is the value of x that makes the given equation true?
4x 3-12x13
—
A. 0x = -3
B. O x = 0
C. O x = 1
D. O x = 16

Answers

The value of the x is 1 in the linear equation. Thus, option C is correct.

According to the statement

We have to find that the value of the x.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The equation is:

4x−3=−12x+13

Then

we have to solve it

4x−3=−12x+13

4x+12x = 3+13

16x = 16

x = 16/16

x =1.

When we put x =1 in the given equation and then i satisfy the equation and give same values after calculation.

So, The value of the x is 1 in the linear equation. Thus, option C is correct.

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PLEASE HELP and explain in the answer

Answers

The missing numbers are 17,66,13, 9 3 and 15 respectively .

The rules given to us are-

first row consist of a number which is the sum of two numbers of middle row

Third row consist of a number which is the product of two numbers of middle row

The first part

The sum of 6 and 11 is 17 and the product of 6 and 11 is 66

6 11

The second part

To find the second number of middle row we need to divide 36 by 4 and we get 9 and the sum of 4 and 9 is 13

4 9

The third part

To find the numbers of middle row we need to find the factors of 45 that sum up to 18

The factors of 45 are 3*3*5

The factor 15 and 3 satisfy both the requirements

3 15

Hence, The missing numbers are 17,66,13, 9 3 and 15 respectively

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y = – 3
y = x – 0.8

A coordinate grid with 2 lines. The first line passes through the points (0, negative 0.1) and (0.8, 0). The second line is horizontal passes through the point (0, negative 3). The lines intersect at a point with a coordinate of slightly to the left of negative 2 and negative 3.
What is the best approximation for the solution to this system of equations?

(–3.2, –3)
(–2.9, –3)
(–2.2, –3)
(–1.9, –3)

Answers

The best approximation for the solution to the system of equation is option C) (-2.2 , -3)

According to the question we have been given two system of linear equation which are:

y = -3 (1)

and y = x - 0.8 (2)

Now solving these two equation and find the value of x

Substituting the value of y from equation (1) to the equation (2) we get

-3 = x - 0.8

-3 + 0.8 = x

x = -2.2

Thus the best approximation for the solution to the system of equation is option C) (-2.2 , -3)

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Cadence baked 45 cupcakes on Tuesday. This was 3 more than twice the number of cupcakes she baked on Monday. How many cupcakes did Cadence bake on Monday?
Group of answer choices

25

21

24

14

Answers

Considering the definition of an equation and the way to solve it, the correct answer is the third option: Cadence baked 21 cupcakes on Monday.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns.

The members of an equation are each of the expressions that appear on both sides of the equal sign.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

Cupcakes baked on Monday

Being "x" the number of cupcakes baked by Cadence on Monday, and knowing that:

Cadence baked 45 cupcakes on Tuesday. The number of cupcakes baked on Tuesday was 3 more than twice the number of cupcakes she baked on Monday.

the equation in this case is:

3 + 2x= 45

Solving:

2x= 45 -3

2x= 42

x= 42 ÷ 2

x= 21

Finally, the correct answer is the third option: Cadence baked 21 cupcakes on Monday.

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A 3-quart container of disinfectant costs $13.56. What is the price per cup?

Answers

Answer: The answer is $1.13.

Step-by-step explanation:

There are 12 cups inside a 3-quart container.

Four friends race their bikes down the street. Evan finishes in 6.2 seconds, Devon in 6.0999 seconds, Liza in 6.188 seconds, and Tasha in 6.168 seconds. Which order shows the friends’ times from fastest to slowest?

Answers

Answer:

Evan, Liza, Tasha, Devon

Step-by-step explanation:

Identify rise over run (please!)

Answers

1- -1/3
2- 3/1
3- 5/3
4- -3/2
5- 3/2
6- 3/1
The first three are the top row and 4,5, and 6 are the bottom row

Suppose you know the measures of all three angles of a triangle. Can you use the Law of Sines to find the lengths of the sides? Explain.

Answers

Answer:

Step-by-step explanation:

Without any side lengths, the most three angles can determine is similarity, not congruency. This means you can determine the ratio of the lengths of the sides, but not any of the sides individually.

2. Plot two numbers that are 5 units from zero on the number line.

Answers

Answer:

5 and -5

This is because these 2 spots are exactly 5 spaces from 0.

The number 5 is 5 units away from

necesito hacer la recta numerica con números negativos y positivos, alguien me ayuda

Answers

De acuerdo a la información se puede inferir que su hijo nació en el año 22 antes de Cristo.

¿Qué es una recta numérica?

Una recta numérica es una herramienta gráfica de las matemáticas que nos sirve para ubicar números positivos y negativos en un gráfico con el objetivo de organizarlos con respecto al número cero.

¿Cómo funcionan las líneas de tiempo con años Antes de Cristo y Después de Cristo?

Las líneas de tiempo con fechas Antes y Después de Cristo se pueden asociar a una recta numérica debido a que los años Antes de Cristo se ubican en la parte negativa de la gráfica (a la izquierda del cero) y los número Después de Cristo se ubican en la parte positiva (a la derecha del cero).

¿Cuál es el año de nacimiento de su hijo?

Para identificar el año de nacimiento del hijo debemos tener en cuenta que las fechas que se ubican en la zona negativa de la recta numérica aumentan de forma invertida, es decir que si su hijo nació 28 años después de ella se debe restar este número a su fecha de nacimiento como se muestra a continuación:

50 - 28 = 22

Entonces, el año de nacimiento de su hijo sería el año 22 Antes de Cristo.

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help meeeeeeeeeeeee.

Answers

Answer:

4:1, 20:5

Step-by-step explanation:

You can determine if a ratio is equivalent by dividing each term with the respective term in the other ratio. If you come out with 1, the ratios are equivalent.

Answer:

4:1 & 20:5

Step-by-step explanation:

These two ratios are equal and true to 12:3!

Hopefully this helps have a great day! :D

Read each question. Then write the letter of the correct answer on your paper.What is an equivalent form of 5/2+2 i ?
(F) 5/4i (H) 5+5 i / 4 (G) 10-10i / 4-4i (I) 5-5i / 4

Answers

An equivalent form of 5 / ( 2 + 2 i ) is ( 5 -5 i ) / 4 [ option I ]

Given,

5 / ( 2 + 2 i )

To find its equivalent form we need to simplify the term by using the concept of conjugates.

Conjugate of a term results in opposite power of the imaginary part.

The conjugate of 2 + 2 i = 2 - 2 i

Multiply and divide the term with the conjugate

=> 5 * ( 2 - 2 i ) / ( 2 + 2 i ) * ( 2 - 2 i )

=> 10 - 10 i / 2 ² - ( 2 i ) ² [ ( a + b ) ( a - b ) = a ² - b ² ]

=> 10 - 10 i / 4 - (-4) [ i ² = - 1 ]

=> 10 - 10 i / 8

=> 5 - 5 i / 4

This matches with option I

Therefore, we get an equivalent form of 5 / ( 2 + 2 i ) as ( 5 -5 i ) / 4

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Multiply. State any restrictions on the variables.
8 y-4 / 10 y-5 . 5 y-15 / 3 y-9

Answers

The required product of two rational numbers is 8y² - 28y + 4) / (6y² - 21y + 9).

What is a rational number?

Any real number that can be represented in the form of p/q, where q is not equal to 0 is called a rational number. The decimal expansion of rational numbers is terminating and repeating.

Calculation of the product of two rational numbers

Given two rational numbers,

8y - 4 / 10y - 5 and 5y -15 / 3y - 9

We need to multiply both the numbers i.e.

= (8y - 4 / 10y - 5) × (5y -15 / 3y - 9)

= (8y -4) × (5y - 15) / (10y - 5) × (3y - 9)

= (40y² - 140y + 20) / (30y² - 105y + 45)

= (8y² - 28y + 4) / (6y² - 21y + 9)

The restriction is that the denominator, 6y² - 21y + 9 should not be 0.

Hence, the required product of two rational numbers is 8y2 - 28y + 4) / (6y2 - 21y + 9).

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the city council of anytown, u.s.a., is reviewing the funding for local sports-related activities. to be better informed, the council commissions a study. place the sample groups in order from best to worst, based on how well they would represent the population of anytown residents with an active interest in sports.

Answers

The correct order from best to worst of the sample groups is b→ a→ c.

The study conducted by the City Council of USA incorporates the reviewing for the funding for local sports-related activities.

There are 3 sample groups selected from the population of Anytown residents with an active interest in sports. They are:

a. High-school students at three different schools.

b. People randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar.

c. People randomly approached at a department store and at a shopping mall

All these groups are selected randomly.

But for (b), the people are obviously interested in sports activities, as they are selected from softball tournament, a swim meet, an athletic supply store, and a sports bar.

Next would be (a), because the students being younger is probably more interested in sports than elder ones.

The last would be the (c), people selected from the department store since they would be less aware of local- sports related activities.

So the order of samples from best to worst is b→ a→ c.

The question is incomplete. Find the complete question below:

The city council of Anytown, U.S.A., is reviewing the funding for local sports-related activities. To be better informed, it commissions a study. Order the sample groups, best to worst, based on how well they would represent the population of Anytown residents with an active interest in sports.

a. high-school students at three different schools

b. people randomly approached at a softball tournament, a swim meet, an athletic supply store, and a sports bar

c. people randomly approached at a department store and at a shopping mall

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m∠W=73°. Find the measure of the complement of ∠W.

115°
15°
17°
107°

Answers

The measure of the angle that complements m∠W is 17°. Option C

What are complementary angles?

Complementary angles are defined as angles that sum up to 90 degrees.

They are also called angles at right angle.

Example:

If x and y are termed complementary angles, then

x + y = 90°

From the information given, we have that;

m∠W is complementary to another unknown angle x

This is represented as;

x + m∠W = 90°

But m∠W = 73°

Substitute the value into the equation

x + 73° = 90°

collect like terms

x = 90 - 73

x = 17°

Thus, the measure of the angle that complements m∠W is 17°. Option C

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Un coche tarda 9hrs en recorrer un trayecto siendo su velocidad de 85km/h, ¿Cuánto tardará en recorrer el mismo trayecto a 70km/h?

Answers

The time taken to travel the distance 70 Km/h is 11 hours.

What is speed distance formula?

Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took.

The formula can be rearranged in three ways:

speed = distance ÷ timedistance = speed × timetime = distance ÷ speed

Given:

time = 9 hours

speed = 85 Km/h

Now, distance

=speed * time

=85 * 9

= 765 km

As, the speed is 70 km/h

time = distance/ speed

time = 765 / 70

time = 10.92

time= 11 hours

Hence, the time taken to travel the distance 70 Km/h is 11 hours.

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The translation of the question is:

A car takes 9 hours to travel a distance with a speed of 85km/h, how long will it take to travel the same distance at 70km/h?

Brett is joining a new gym. He can join Power Plus or Heavy Hulk. At Power Plus, it will cost $34.04 per month, plus a sign-up fee of $24.00. At Heavy Hulk, it will cost $34.29, plus a sign-up fee of $36.50. Right now, Heavy Hulk is cutting their sign-up fee in half for new members. If Brett signs up at a gym today, after how many months will the cost of the memberships be the same?

Answers

If Heavy Hulk is cutting their sign-up fee in half for new members. If Brett signs up at a gym today, the number of months that the cost of the memberships be the same is: 23 months.

Number of months

Let x represent the number of months

Hence,

Formulate

$34.04x+24= $34.29x+(36.50/2)

Collect like terms

($34.04x -34.29x)= 24-(36.50/2)

0.25x=24-18.25

0.25x=5.75

Divide both side by 0.25x

x=5.75/0.25

x=23 months

Therefore If Heavy Hulk is cutting their sign-up fee in half for new members. If Brett signs up at a gym today, the number of months that the cost of the memberships be the same is: 23 months.

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Women took on added duties during the Civil War because a. they wanted to prove that women should have equal rights. b. many men were not available for work on farms and in factories. c. they wanted to prove they could fight as well as men. d. the government ordered them to work on farms and in factories. what is the total dollar amount of personal and dependency exemptions a married couple with two children (ages 11 and 14, both of which are qualified children) and $80,000 of adjusted gross income would deduct in 2021? A wave as represented by the equation Y = 2 sin (0.5x - 200t) Where all distances are measured in cm and in Second. For this wave, calculate a) frequency b)wave length C )Speed d) Amplitude e)period f)wave number g)angular velocity the nurse is caring for a client with an exacerbation of copd and scheduled for pulmonary function studies using a spirometer. which client statement would the nurse clarify? a fost rspuns verificat de expertDensitatea ghetii este 0.9g/cm. Ce masa are gheata care pluteste pe o portiune de 10 m a unui lac stiind ca gheata are grosimea de 5 cm. barton industries had the following asset accounts at year end: cash $10,000 accounts receivable 2,500 supplies 750 equipment 12,000 building 70,000 land 112,000 what are bartons total current assets? Need the Algebraic expression for a window is 9 feet long. It is x feet longer than it is high. What is the height of the window?_______________________Feet What is the perimeter of the window?_______________________Feet 5) A ball is thrown into the air vertically from the ground level with an initial speed of 20m/s. (a) How long is the ball in the air?(b) What height does the ball reach? Which was a main reason for creating the Articles of Confederation? Work out the size of one exterior angle of a regular hexagon. please tell me what I did incorrect40 points please i really need it When you are performing multiple transformations it is called? Which would not increase the likelihood that an older adult will incur physical abuse? Who united the Southwestern Native Americans to revolt? How did the revolt go? An electrician cuts a 15 ft piece of wire into two pieces. One piece is 11 ft longer than the other. How long are the pieces? Employees are an important part of the general environment. True or false Self actualization is the most basic need according to Maslow. true or false Customers are an important part of the general environment. True or false Nick has $50 to spend during fall break. He decides to spend $10 each day. Which equation represents the amount of money nick has left, y, and the number of days x?. Mrs linesman deposits 500 dollars into a bank account that earns 4 percent simple interest per year what is the total amount in her account after 1 year Choose the correct figurative language word that matches with the underlined words in the sentence.The ominous black sky was weeping. How does mary olivers deciption of the sun differ from joann aikens depiction of the sun? How is it similar?