What is the slope of the line that passes through (0,5) and (10,0)?

Answers

Answer 1

Answer:

-1/2

Step-by-step explanation:

\( m = \dfrac{y_2 - y_1}{x_2 - x_1} \)

\(m = \dfrac{0 - 5}{10 - 0} = \dfrac{-5}{10} = -\dfrac{1}{2}\)

Answer: slope = -1/2


Related Questions

Out of the 25 students in Mrs. Green's class, 13 have a pet. What percent of the students in Mrs. Green's class has a pet?

Answers

Answer:

52% of Ms. Green's class has a pet.

Step-by-step explanation:

So, I did this as simple as possible. First, I changed 25 to 100 to represent 100%. I multiplied 25 by 4 to get 100, so I then multiplied 13 by 4 to get 52.

25 → 100

13  →  52

So, this means that the answer is 52%.

A way to check, is by looking at the answer and seeing if it looks correct. Most of the time, you will be able to see if your answer is correct just by looking at it.

Plz need help really fast will give brainlist IF CAN NO LINKS OR BIT WEBSITES OR FILES Jordan has 4/5 as many DVDs as Joseph. If Jordan has 56 DVDs, then how many does Joseph have?

Answers

Answer: 70

Step-by-step explanation:

4/5 = 56

1/5 = 56/4 = 14

Then, if 1/5 = 14

5/5 = 14 x 5 = 70

So Joseph has 70 DVDs.

Answer:

Joseph have 70 DVD's

Step-by-step explanation:

The number of DVD's for both is named as \(x\) and you get the next relation:

\(\frac{4}{5}x = x\)

This relation represent that Jordan has \(\frac{4}{5}\) as many DVD's as Joseph.

Then the problem give us that Jordan has 56 DVD's this  can be written as:

\(\frac{4}{5}x = 56\)

Then if you want to find the number of DVD's that have Joseph only isolate \(x\) in the equation.

\(x = 56\frac{5}{4} = 70\)

Then the number of DVD's that have Joseph is 70

In the following figure AEDC is a square, BA= BC and AE = AC. The area of AEDC is 25 cm² and angle B=90°, Calculate the length of AB. ​

Answers

A triangular prism is a prism which has both of its base sides as a rectangle. The length of side AB is 5/(√2) cm.

What is a triangular prism?

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

The area of AEDC is 25 cm². Therefore,

AEDC = AC²

25 cm² = AC²

AC = 5 cm

In ΔABC,

AB² + BC² = AC²

Since AB=BC,

2(AB²) = AC²

AB² = 25/2

AB = 5/√2 cm

Hence, the length of side AB is 5/(√2) cm.

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In the following figure AEDC is a square, BA= BC and AE = AC. The area of AEDC is 25 cm and angle B=90,

If Amy Earns 10 Dollars An Hour And She Earned 97.50, How Many Hours Did She Work?

Answers

Answer:

9.75 hours or

9 hours and 45 minutes

Step-by-step explanation:

please help me with this!!!! help!!! I need the answer! Find the area and permeter of the triangle ​

please help me with this!!!! help!!! I need the answer! Find the area and permeter of the triangle

Answers

Answer: Area 6 Perimeter 12

Step-by-step explanation:

First, you have to find the perimeter. 4+5+3=12. Then, you need to find the area, which is base*height/2. The base is 3 and the height is 4. 4*3=12. Then you need to do 12/2=6. The area is 6

Answer:

The answer for P=12cm,A=6cm²

Step-by-step explanation:

Perimeter of triangle=a+b+c

P=5+3+4

P=12cm

Area of triangle =1/2bh

A=1/2×3×4

A=2×3

A=6cm²

let F(x)=-\(\frac{4}{5} x+10\). Find each value. Simplify the answer as much as possible.
a. f(-5)=
b.f(0)=
c.f(5/2)=
d.f(5a)=
e.f(5a-15)=
PLEASE ANSWER AS SOON AS POSSIBLE AS WELL AS THE OTHER QUESTIONS LIKE THIS IM POSTING SOON. GIVEN LOTS OF POINTS.

Answers

The numeric values for the function are given as follows:

a) f(-5) = 14.

b) f(0) = 10.

c) f(5/2) = 8.

d) f(5a) = -4a + 10.

e) f(5a - 15) = -4a + 22.

How to find the numeric value of a function?

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the function is given by:

f(x) = -0.8x + 10.

Hence the numeric values are given as follows:

f(-5) = -0.8(-5) + 10 = 14.f(0) = -0.8(0) + 10 = 10.f(5/2) = f(2.5) = -0.8(2.5) + 10 = 8.f(5a) = -0.8(5a) + 10 = -4a + 10.f(5a - 15) = -0.8(5a - 15) + 10 = -4a + 22.

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A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive
90% of the time if the person has the virus and 5% of the time if the person does not have the virus.
(This 5% result is called a false positive.) Let A be the event "the person is infected" and B be the
event "the person tests positive",
a) Find the probability that a person has the virus given that they have tested positive, i.e. find
P(A|B). Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(A|B)=
%
b) Find the probability that a person does not have the virus given that they test negative, i.e. find
P(A'|B'). Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(A'|B')=

Answers

Answer:

b i think let me know if im right

Step-by-step explanation:

The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.

Answers

i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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Help help help help hep help help

Help help help help hep help help

Answers

Answer:

A' (-1,4)

B' (-4,3)

C' (-2,1)

Step-by-step explanation:

When reflecting a point across the y-axis, the x-coordinate changes signs, and the y-coordinate stays the same. The rule for a reflection across the y-axis is (x,y) -> (-x,y). For example, if we flip the coordinates (1,4) across the y-axis, new the coordinates are (-1,4).

4x - 2y + z = 30
6x + 5y + 6z = 74
6x + 2y + 8z = 64

Answers

Answer:

lasjn sk sklan djsk

Step-by-step explanation: so jakbas akbsa

Help me? Product of a sum and a difference
Formula; (a + b)(a - b) = a^2 - b^2

Find the product of the following

1. (2x - 5)(2x + 5)

2. (5b - 6y)(5b + 6y)

3. (4k + 7)(4k - 7)

4. (y - 5)(y + 5)

5. (3x - 2)(3x + 2)

6. (13x + 2x^3)(13x - 2x^3)

7. (2a + 1)(2a - 1)

8. (9y^2 + 8)(9y^2 - 8)

Answers

Step-by-step explanation:

hey, hope this helps. :)

Help me? Product of a sum and a differenceFormula; (a + b)(a - b) = a^2 - b^2Find the product of the

Answer:

The solution is 6-->4-->9-->7-->1

Step-by-step explanation:

Plz help me find a on the triangle show work plz​

Plz help me find a on the triangle show work plz

Answers

Answer:

x = sqrt(11)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the sides and c is the hypotenuse

x^2 +(sqrt(5))^2 = 4^2

x^2 +5 = 16

x^2 =16-5

x^2 = 11

Taking the square root of each side

x = sqrt(11)

A building has a height of 40 feet and a length of 20 feet. On a scale drawing of the building, the height is 20 centimeters. What is the length of the building on the scale drawing in centimeters?

Answers

Answer:

10 centimeters

Step-by-step explanation:

For the height:

40 ft / 20 cm = 2 ft / cm

With this ratio, we find the length as follows:

2 ft / cm = 20 ft / x cm

\(2 = \frac{20}{x} \)

\(2x = 20\)

\(x = 10\)

Answer:

10 cm

Step-by-step explanation:

Look at the answer

If there is a 4:6 ratio of dogs to cats in the store. What percentage of the store are dogs?

Answers

60% of the store is dogs.

Answer:

40 % dogs

Step-by-step explanation:

if ratio = 4:6

the store =10:0

10=100%

1=10%

4=40%

6=60%

40:60

40%:60%

Lucas is planting grass on the shaded portions of the yard. What will be the total area covered by​ grass?

Answers

Complete Question:

Lucas is planting grass on the shaded portions of the yard. What will be the total area of covered by grass? Fill in the missing.

Part A= 12 x ? = ? ft²

Part B= 0.5 x ? x 9 = ?ft²

Part C= 0.5 x 7 x ? = ?ft²

Total Area= ?ft²

Answer:

\(A = 108ft^2\)

\(B = 27ft^2\)

\(C = 24.5ft^2\)

\(Area = 159.50ft^2\)

Step-by-step explanation:

Given

See attachment

From the attachment;

Part A is a rectangle with dimension 9ft by 12ft

So,

\(A = 12ft * 9ft\)

\(A = 108ft^2\)

Part B is a triangle with dimension: height = 6 and base = 9

The height is calculated as:

\(Height = 12ft - 6ft = 6ft\)

And the base is:

\(Base = 18ft - 9ft = 9ft\)

So, the area is:

\(B = 0.5 * 6ft * 9ft\)

\(B = 27ft^2\)

Part C is a triangle with dimension: height = 7 and base = 7

So, the area is:

\(C = 0.5 * 7 * 7ft^2\)

\(C = 24.5ft^2\)

Total Area is:

\(Area = A + B + C\)

\(Area = 108ft^2 + 27ft^2 + 24.5ft^2\)

\(Area = 159.50ft^2\)

Lucas is planting grass on the shaded portions of the yard. What will be the total area covered by grass?

What is the inverse of conditional w > ~v?

Answers

Answer: (v,∞)

Step-by-step explanation: Please mark as brainliest

(!20 POINTS PLEASE HELP!) The students in a class are randomly drawing cards numbered 1 through 28 from a hat to determine the order in which they will give their presentations. Find each probability. Solve each problem below 1. P(13) 2. P(less than 14) 3. P(not 2 or 17)

(!20 POINTS PLEASE HELP!) The students in a class are randomly drawing cards numbered 1 through 28 from

Answers

Since there is 28 cards, the chance of drawing 1 card will be \(\frac{1}{28}\)

Therefore, \(P(13)=\frac{1}{28}\).

There are 13 numbers less than 14 and greater than 0.

Therefore \(P(>14)=\frac{13}{28}\)

There are 26 numbers that are not 2 or 17.

Therefore \(P(\neq 2,17)=\frac{26}{28}=\frac{13}{14}\)

Hope this helps.

頑張って!

Probability of

Option (1). P(13) =\(\frac{1}{28}\)

Option (2). P(less than 14) = \(\frac{13}{28}\)

Option (3). P(not 2 or 17) =\(\frac{13}{14}\)

What is Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur

Given,

Total number of card = 28

Probability = Number of favorable outcome / Number of total outcome

Probability of picking 13 = \(\frac{1}{28}\)

Probability of picking a card less then 14 = \(\frac{13}{28}\)

Probability of not picking 2 or 17 = \(\frac{26}{28}=\frac{13}{14}\)

Hence, the probability of

Option (1). P(13) =\(\frac{1}{28}\)

Option (2). P(less than 14) = \(\frac{13}{28}\)

Option (3). P(not 2 or 17) =\(\frac{13}{14}\)

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A grade has 81 girls and 72 boys. The grade is split into groups that have the same ratio of girls to boys as the whole grade.How many girls are in a group that has 16 boys?

Answers

Answer:

18 girls I think.

Step-by-step explanation:

Write a linear function f with f(0)=7 and f(3)=1

y=mx+b

Answers

The linear function f with  f(0) = 7 and f(3) = 1 is  y = -2x + 7

How to represent linear equation?

Linear equation can be represented in slope intercept form as follows:

y = mx + c

where

m = slopec = y-intercept

Therefore,

f(0) = 7 and f(3) = 1

Using linear equation

7 = m(0) + b

b = 7

1 = m(3) + 7

1 - 7 = 3m

-6 = 3m

m = - 6 / 3

m = -2

Therefore, the linear function is y = -2x + 7

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Find the perimeter for a rectangle that has an area of 2x^2+6x-8 and length of 2x-2. (Hint: First find the length)

Answers

The question is a mistake the value of length is either zero or negative which cannot be possible.

Principal Ramos observed that 0:18 of the
students at her school walked to school each
morning. Which percent is equivalent to 0.18?
A. 1.8%
B. 180%
C. 0.018%
D. 18%

Answers

D because you can just take the 0. off of 0.18!

Answer:

.18 equals 18%

Step-by-step explanation:

percent means "out of 100", so 18% is 18/100- or .18

Jane is trying to re-arrange the volume of a cone formula, V=13(πr2)⋅h. Which of the following re-arrangements of the formula are valid? Select all that apply.
A)h=πr23V
B)h=3Vπr2
C)r=3Vπh−−−√
D)r=πh3V−−−√

Answers

Answer:

From the formular given to Jane:

\(V = 13( {\pi r}^{2} )h\)

making h the subject:

\({ \boxed{ \boxed{h = \frac{V}{13\pi {r}^{2} } }}}\)

making r the subject: »

\( {r}^{2} = \frac{V}{13\pi h} \\ \\ { \boxed{ \boxed{r = \sqrt{ \frac{V}{13\pi h} } }}}\)

A faucet is leaking water at a rate of 2.5 cups per hour. How many cups of water will leak in 8 hours? A. 3.2
B. 5.5
c. 10.5
D. 20.0 ​

Answers

Answer:

20

Step-by-step explanation:

In 8 hours, it will leak 2.5 * 8 = 20 cups of water.

Three times a number increased by one is between negative eight and seven find all the numbers.

All the numbers that makes the statement true are given by?

Please hurry this is on my exam

Answers

This is about absolute value inequalities.

The set of possible values of x that make the statement true are; x = {-2, -1, 0, 1}

Let the number in the question be x.

We are told that when it is multiplied by 3 and 1 added to it, it is between - 8 and 7. This means it is greater than -8 but less than 7.

Thus;

3x + 1 > -8  - - - (eq 1)

3x + 1 < 7  - - - (eq 2)

Let's find range of x from eq 1;

3x + 1 > -8

Subtract 1 from both sides to get;

3x > -9

x > -9/3

x > -3

Similarly, let's find the range of x from eq 2;

3x + 1 < 7

Subtract 1 from both sides to get;

3x < 7 - 1

3x < 6

x < 6/3

x < 2

Thus, we can write that;

-3 < x < 2

Thus, the set of possible values of x are; x = {-2, -1, 0, 1}

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1. Subtract. Write each answer in its simplest form (a) 35 - 13 = 2 - 2 = 25- 8 =​

Answers

Answer:-15

Step-by-step explanation:

A person invested ​$6000 for 1​ year, part at 4​%, part at 10​%, and the remainder at 14​%. The total annual income from these investments was ​$652. The amount of money invested at ​14% was ​$200 more than the amounts invested at ​4% and 10​% combined. Find the amount invested at each rate.

Answers

a = amount invested at 4%

how much is 4% of "a"? (4/100) * "a", namely 0.04a.

b = amount invested at 10%

how much is 10% of "b"? (10/100) * "b", namely 0.10b.

c = amount invested at 14%

how much is 14% of "c"? (14/100) * "c", namely 0.14c.


we know the total amount invested is 6000, so whatever "a" and "b" and "c" might be, we know that a + b +c = 6000.

we also know that the yielded amount in interest is $652, so if we simply add their interest, that'd be 0.04a + 0.10b + 0.14c.

the combined amount of "a" and "b" is simply a + b, and we also know that "c" is that much plus 200, namely "c = a + b + 200".

\(a+b+c=6000\hspace{5em}\underline{c=a+b+200} \\\\\\ a+b+\stackrel{c}{(a+b+200)}=6000\implies 2a+2b+200=6000\implies 2a+2b=5800 \\\\\\ 2b=5800-2a\implies b=\cfrac{5800-2a}{2}\implies \boxed{b=2900-a} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{c=a+b+200}\implies \stackrel{substituting}{c=a+(\underset{b}{2900-a})+200}\implies c=a+2900-a+200 \\\\\\ c=2900+200\implies {\Large \begin{array}{llll} c=3100 \end{array}} \\\\[-0.35em] ~\dotfill\)

\(0.04a+0.10b+0.14c=652\implies \stackrel{\textit{substituting}}{0.04a+0.10(\underset{b}{2900-a})+0.14(\underset{c}{3100})}=652 \\\\\\ 0.04a+290-0.10a+434=652\implies 0.04a-0.10a+724=652 \\\\\\ 0.04a-0.10a=-72\implies -0.06a=-72 \\\\\\ a=\cfrac{-72}{-0.06}\implies {\Large \begin{array}{llll} a=1200 \end{array}} \hspace{5em} \stackrel{6000-3100-1200}{{\Large \begin{array}{llll} b=1700 \end{array}}}\)

PLEASE PLEASE I BEG YOU HELP MEEEE

PLEASE PLEASE I BEG YOU HELP MEEEE

Answers

1)

Surface area of rectangular prism:

SA = 2( hw + lw + lh )

h= height of prism .

w = width of prism .

l = length of prism .

Substitute the values,

h= 4m

w=1.2 m

l= 13.4 m

SA = 2(4*1.2 + 13.4*1.2 + 13.4*4)

SA = 148.96 m²

2)

Surface area of triangular prism:

SA = (S1 +S2 + S3)L + bh

h= height of prism .

b = base of prism .

S1 , S2 , S3 = sides of triangle .

Substitute the values,

SA = (3+ 4 + 0.5)4 + 0.5*3

SA = 31.5 in²

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Circle A has a radius of 17 inches. what is the circumstance of Circle A

Answers

Answer:

106.76

Step-by-step explanation:

The formula to calculate the circumference if you know the radius is as follows: Circumference = 2 x Radius x π π = Pi = 3.14, thus, the math to calculate the circumference of a circle with a radius of 17 is: 2 x 17 x 3.14 = 106.76

Equation A is equal to (C + D) x (C + D). Equation B is equal to 2 x (C + D). If C and D were numbers that were greater than zero, which equation would give you a bigger value ? Equation A or Equation B ? Give an example for C and D that supports your answer. PLEASE HELP TIMED EXAM!!!!!

Answers

According to the question an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.

What is equation?

Two equations are considered to be comparable when their roots and solutions line up. To create an equivalent equation, the identical quantity, symbol, or expression has to be added to or removed from both of the equation's two sides. We can also create a similar equation by dividing or multiplying each component of an equation with a nonzero value.

given,

To determine which equation would give a bigger value, we can compare the expressions obtained by expanding Equation A and simplifying Equation B.

Expanding Equation A, we get:

A = (C + D) x (C + D) = C² + 2CD + D²

Simplifying Equation B, we get:

B = 2 x (C + D) = 2C + 2D

To compare the values of A and B, let's choose some values for C and D that are greater than zero. Let's choose C = 3 and D = 2.

Plugging these values into Equation A, we get:

A = 3² + 2(3)(2) + 2² = 9 + 12 + 4 = 25

Plugging these values into Equation B, we get:

B = 2(3 + 2) = 2(5) = 10

Since A is greater than B for the values of C = 3 and D = 2, we can conclude that Equation A gives a bigger value than Equation B for positive values of C and D.

Therefore, an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.

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what is the surface area of a sphere with a radius of 12 centimeters

A) 302cm^2

B) 452cm^2

C) 576cm^2

D) 1810cm^2

Answers

The surface area of the sphere is 1810 cm²

What is a sphere?

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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Can anyone help me with both problems I need help HELP PLEASE!) A square pyramid has surface that is covered in dark glass. The sides of the pyramid are 456 feet in length. The slant height of the pyramid is 185 feet.Find the lateral surface area to determine the square feet of glass needed to cover the surface of the pyramid.Answer choices376,656 ft^242,180 ft^2337,440 ft ^2168,720 ft^2 what are the main reasons of air pollution? What is the difference between the two paths as described by the speaker? Select the correct answer from each drop-down menu. Complete each statement describing an essential skill for success in the workplace. Dressing suitably for different situations, using appropriate language, and maintaining good personal hygiene are all ways to demonstrate(work ethic, self-representation, diversity awareness). An employee will display(leadership skills, teamwork skills, nonverbal skills) by adhering to professional standards of the workplace and encouraging co-workers to do the same. in.in2What is the area of this triangle?h = 12 in.b = 3 in. Which of the following best describes the states' rights debate of the early and mid-1800s?( a conflict between the idea of federalism and the US ConstitutionO a conflict between the deas of federalism and sectionalismO a conflict between the rights of one state and the rights of anotherO aconflict between the ideas of sectionalism and nullification For each term listed in Column I, select the most appropriate description from the list given in Column II. COLUMN I 2.1 Perilymph 2.2 Cristae 2.3 Round window 2.4 Cerebrum 2.5 Cerebellum COLUMN II A- Perception of gravitational pull B- Perception of head movements C- Sets up waves in upper canal of inner ear E-Regulation of heart beat D- Absorbs pressure set up in inner ear Regulation of heart beat F- Regulation of body temperature G - Interprets impulses from maculae H - Interprets impulses from hair cells of the organ of Corti Found in membranous labyrinth 1- while hunting, roger enters onto virgils property without permission and is injured by a falling, dead tree limb. under the common law, virgil is liable for rogers injuries. Simplify negative nine over six divided by three over negative two how do we divide non divisible numbers??like 43 or 94 What 3 parts are needed to show a number in scientific notation? 1. A whole number and a decimal, a multiplication symbol, a power of 102. An exponent to the 2nd power, a multiplication symbol, a whole number from 1 to 103. A decimal or whole number, a multiplication symbol, a power of 104. A decimal between 1 and 10, a multiplication symbol, a power of 10 A 1.0 mole pure sample of molten tin is dissolved in a 5.0 mole pure sample of molten copper. The solution is set aside to cool and solidify. The atomic radius of tin is 140 pm and the atomic radius of copper is 128 pm. a. Identify the type of alloy that is formed. Justify your answer. b. Identify the solvent in this solution. Justify your answer. stories about celebrities, sensational crimes, and scandals in high places have been labeled Write a thank you letter for health care workers. 23. Factor the following completely: x5-xy-xy +y (Hint: Use factoring by grouping then two special formulas. You will have 4 factors in the end.) penicillin mimics the terminal d-ala peptide and prevents the cross-linking between the nam subunits. which type of cells would therefore be most susceptible to penicillin treatments? 3= 1/4(b - 8) use the Distributive property 1. Find a midpoint: (-2,4) and (4,2) _____ refers to officers being allowed to search your home without a warrant if they observe an illegal act occurring right outside your home.