jaylin has a wooden cube which is painted blue on the outside. she cuts the cube into $1000$ identical cubes, some of which have some sides painted blue, then rolls the resulting cubes like dice. the probability that no blue faces land up after jaylin rolls the $1000$ cubes can be expressed as $2^a \times 3^b \times 5^c$ where $a$, $b$ and $c$ are integers. what is the value of $a b c$?

Answers

Answer 1

The probability is a + b + c = -382

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

Every cube's side is [tex]\sqrt[3]{1000}[/tex] = 10

Since there are 512 unpainted cubes within, the likelihood is 1⁵¹² = 1

There are 8 corners, and each one has a chance of 3 / 6 = 1 / 2 = 2⁻¹ so the probability is 1⁸ / 2 = 1 / 2⁸

There are 8 * 12 = 96 edge pieces (12 edges total, with 8 on each edge; each cube has a probability of 4 / 6 = 2 / 3, so the probability is 2⁹⁶ / 3 = 2⁹⁶ / 3⁹⁶

There are 8 * 8 * 6 = 384 center cubes, each having a chance of 5 / 6, so the probability is 5³⁸⁴ / 6 = 5³⁸⁴ / 6³⁸⁴ = 5³⁸⁴ / (2³⁸⁴ * 3³⁸⁴)

So, the probability is:

(1 / 2⁸) * (2⁹⁶ / 3⁹⁶) * [5³⁸⁴ / (2³⁸⁴ * 3³⁸⁴)]

= (5³⁸⁴ * 2⁹⁶) / (2³⁹² * 3⁴⁷⁰)

= 5³⁹⁴ * 2⁹⁶ * 2⁻³⁹² * 3⁻⁴⁷⁰

= 5³⁸⁴ * 2⁻²⁹⁶ * 3⁻⁴⁷⁰

Thus, a + b + c = -382

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Related Questions

CARD #9:
V (2,2) U(6,2) T(2,10)
Triangle TUV will be dilated by a
scale factor of 2.
Isaac says
that T will be
located at
(4, 20).
Isabelle says
that T' will be
located at (4, 12).

Answers

Isaac's statement that T will be located at (4, 20) is correct

How to determine the correct statement?

The coordinates of the triangle are given as

V (2,2) U(6,2) T(2,10)

The transformation is given as

Scale factor of 2, across the origin

The transformation can be described by (x, y) --> (2x, 2y)

There are four types of transformation, and they are:

DilationRotationReflectionTranslation

The representation of the types of transformation are:

Dilation: k(x, y)Rotation: rotation by anglesReflection: reflection across linesTranslation: (x + h, y + k)

By comparing the rules of the above types of transformation, we have

(x, y) --> (2x, 2y)

For point T, we have

(2, 10) --> (2 x 2, 2 x 10)

Evaluate

(2, 10) --> (4, 20)

When the above is compared to the student's result, we have

Isaac = (2, 10) --> (4, 20)

Hence, the correct statement about the transformation is Isaac's statement is correct

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One of your friends is working on their math homework. They decide to translate the phrase "subtract 3 from 5" like this:

3-5

Which statements below give a reason why your friend's expression is incorrect?
Select ALL that apply.



A.The expression is written with the wrong operation.

B.in subtraction, order matters and the expression in the incorrect order.

C.the expression should be written as an addition expression with the 5 being added to the 3

D. The expression was written in the order from the phrase which is incorrect

Answers

Answer:

B

Step-by-step explanation:

When you are taking 3 away from 5 it would be 5-3, when you are taking 5 away from 3 it would be 3-5, but in this case it is not so the answer would be B as the order is incorrect.

DOMAIN AND RANGE FOR BOTH OF TGOSE FUNCTIONS!!! PLEASE HELP IMMEDIATELY!!! WILL MARK BRAINLIEST AND GIVE EXTRA POINTS!! PLEASE HELP!!!

Answers

Answer: So think of x to y cordinents. You have reguler numbers and negitive numbers where would you but the regulear numbers? and where would you put the negitve numbers? So what is range? Range is yo subtracting the largeest number form the littlest number.

Step-by-step explanation:

I need help with number 11 - 16

Answers

Answer: Where is the question I can help if you put in the question.

Step-by-step explanation:

need help on this question

Answers

The coordinates of the vertex B' is (2,3)

Given,

The vertices of triangle ABC are

A = (-4,4)

B = (-2,3)

C = (-5,2)

and, reflected across the y-axis to produce the image of triangle A'B'C'

To find the coordinate of the vertex B'

Now, According to the question

For reflection across y-axis, the rule is:

(x, y) → (-x, y)

So, the image of B is:

(-2, 3) → (-(-2), 3)

(-2,3) → (2, 3)

Hence, The coordinates of the vertex B' is (2,3)

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suppose abc is a right triangle with sides​ a, b, and c and right angle at c. use the pythagorean theorem to find the unknown side length. then find the values of the six trigonometric functions for angle b. rationalize the denominators when applicable.

Answers

The unknown length is 28. the values of the six trigonometric functions for angle b that is tan B = 7/24

From the question,

we are given

a = 96 and c = 100, to get the unknown side 'b',

we will substitute the given values into the formula above;

c² = a²+b²

100²  = 96² +b²

b²  = 100²  - 96²

b²  = 10,000 - 9216b²

= 784b = √784b = 28

Hence, the unknown length is 28.

To get tanB, we will use the SOH, CAH, TOA trigonometry identity.

According to TOA,

tan B = opposite/adjacenttan B = b/a (note that side b is the opposite in this case since the angle we are considering is B)

Given, b = 28 and a = 96tan B = 28/96tan B = 4*7/4*24

tan B = 7/24

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The question is incomplete. Here is the complete question.

Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. Find tan B when a = 96 and c = 100.

If the measure of 43 is 70 degrees, what is the measure of <6?

A. 20; ∠s 3 and 6 are complementary angles
B. 70; ∠ s 3 and 6 are alternate interior angles
C. 110; ∠ s 3 and 6 are supplementary angles
D. 180; ∠ s 3 and 6 are same-side interior angles

Answers

Answer:

b

Step-by-step explanation:

angle 3 and angle 6 are alternate interior angles which makes the congruent

Is the function linear? (actual answers please, i know someone could easily say yes or no)

Answers

Yes because linear is straight line ‍

Answer:

Obviously yes...

Step-by-step explanation:

Because there is not a single curve, hence the fn is linear.
Had it been if there are some curves, it may result in having more than one zeroes...
Cuz there's no curve it has only one zero, which made the fn linear..
Thanks.

Write the standard form of the line that contains a slope of -3/2

and y-intercept of 6. Include your work in your final answer. Type your answer in the box provided to submit your solution.

Answers

The standard form of the line that contains a slope of -3/2 and y-intercept of 6 is y = (-3/2)x + 6.

The slope intercept form of a line is:-

y = mx + c

Where,

m represents the slope of the line,

(x,y) represents the ordered pair of coordinates of each point on the line, and

c is the y-intercept

The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Hence, we have,

m = -3/2

c = 6

Hence, the standard form of the line that contains a slope of -3/2 and y-intercept of 6 is given by:-

y = (-3/2)x + 6

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Please answer the question in the photo

Answers

Answer: 8

Step-by-step explanation:

180 degrees in a triangle, so 180 - 92 - 48 = 40

So, the missing angle is 40, which is equal to 5t, so

40 = 5t

t = 8

9. Describe and correct the error in performing the operation.

X 4x²(3x - 2x² + 7) = 12x³ - 8x + 28x²

Answers

Answer:

12[tex]x^{3}[/tex]-8[tex]x^{4}[/tex]+ 28[tex]x^{2}[/tex]

Step-by-step explanation:

the second term should not be -8x, it should be -8[tex]x^{4}[/tex]

The product of powers principle tells us that when we are multiplying powers with the same bases, we add the exponents. 4[tex]x^{2}[/tex](2[tex]x^{2}[/tex])  is 8 but then we add the exponents 2 + 2 = 4

On 1st January 2017, Samantha and Dyfan invested money into different
savings accounts.
They did not make any further payments into their accounts or withdraw any
money from their accounts.
Dyfan invested £3000 in a savings account that paid interest at a rate of
1.02% every 3 months.
Interest is paid on the last day of each 3-month period.
Calculate the date when Dyfan will first have over £3600 in his account.
Input note: give your answer in the form DD/MM/YY
(4 marks)
(8

Answers

The number of years when Dylan would have over £3,600 in his account is 18 June, 2021.

When would Dylan have over £3,600?

The time that If the account earns interest every 3 months, it means that the value increases quarterly or 4 times a year. The account would increase at an exponential rate. This means that both the amount invested and the interest that has already been earned would increase in value 4 times a year.

The formula that can be used to determine the time is:

Time = In(FV / PV) / r

Where:

FV = future value

PV = present value

r = interest rate

t = In (£3,600 / £3,000) / 0.0102

t = In 1.2 / 0.0102 = 17.87 / 4 = 4.468 years

4 years = 2017 + 4 = 2021

0.468 x 12 = 5.616 months

January + 5 months = June

0.616 x 31 = 19 days

18 June, 2021

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PLS HELP QUICK!!!
help me solve 3<2p-3≤ 12 and graph the solution

Answers

The solution to the given inequalities is 3 < p and p ≤ 7.5. That is 3 < p ≤ 7.5.

The graph of the solution is shown below.

Solving Linear Inequalities

From the question, we are to solve the given inequalities

The given inequalities are

3 < 2p - 3 ≤ 12

We will solve  the inequalities separately

That is

3 < 2p - 3  and 2p - 3 ≤ 12

Solve 3 < 2p - 3

3 < 2p - 3

3 + 3 < 2p

6 < 2p

6/2 < p

3 < p

Solve 2p - 3 ≤ 12

2p ≤ 12 + 3

2p ≤ 15

p ≤ 15/2

p ≤ 7.5

Hence,

Joining the two solutions together, the solution is 3 < p ≤ 7.5.

The graph is shown below.

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Polly used 15/16 pounds of sugar to make 5 batches of cupcakes for a party. She uses the same amount of sugar to make each batch of cupcakes. How many pounds of sugar are in each batch? (I have my answer, but have no clue how to show it visually.

Answers

Based on the number of batches of cupcakes, the pounds of sugar in each batch can be found to be 3 / 16 pounds

Find out more below

How to find the pounds of sugar?

The total number of pounds of sugar that Polly used was 15/16 pounds of sugar and she used these to make 5 batches of cupcakes.

Each of this batches of cookies used the same amount of sugar so the amount of sugar per batch of cookie is:

= Total number of pounds of sugar used / Number of batches of sugar

Solving for the pounds of sugar gives:

= 15/16 ÷ 5

= 15/16 x 1/5

= 15 / 80

= 3 / 16 pounds

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For the equation:

5 (2X +7) -15= 15

What might be the first step to solving the equation?

Answers

Answer:

Using inverse operations to isolate teh variable 'X'.

Step-by-step explanation:

THE FIRST STEP IS TO MULTIPLY EACH AND EVERY TERM IN THE BRACKETS BY 5

[tex]5(2x) + 5(7) - 15 = 15 \\ 10x + 35 - 15 = 15[/tex]

THEN GROUP THE LIKE TERMS TOGETHER. WHEN TERMS MOVE ACROSS THE EQUAL SIGN THEY CHANGE SIGNS.

[tex]10x = 15 - 35 + 15 \\ 10x = - 5[/tex]

[tex] \frac{10x}{10} = \frac{ - 5}{10} \\ x = \frac{ - 5}{10} \\ x = - \frac{1}{2} [/tex]

ATTACHED IS THE SOLUTION

can some one help i will give 100 points and brainliest can you show your work step by step?

Answers

Answer: in pictures

hello please help me on this question as soon as possible
10 POINTS

Answers

The number of groups of 5/7 that are in 1 is 1 2/5.

when 8 is divided by 5/7, the quotient is 11 1/5.

What are the required values?

A proper fraction is a non-integer in which the numerator is less than the denominator. The numerator is the number above and the denominator is the number below. An example of a proper fraction is 5/7.

In order to determine the groups of 5/7 are in 1, divide 1 by 5/7. Division is the process of determining the quotient of two or more numbers.  Division is the process of grouping a number into equal groups using another number.  The sign that denotes division is ÷.

1 ÷ 5/7

1 x 7/5 = 7/5 = 1 2/5

8 ÷ 5/7

8 x 7/5 = 56 / 5 = 11 1/5

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Liz has a recipe that uses 1 1/3 cups of sugar and 2 1/4 cups of flour to make 18 muffins. She has a total of 9 cups of flour. Liz wants to use all of her flour to make as many muffins as possible using this recipe.
Exactly how many cups of sugar will Liz use if she use all 9 cups of flour? & how many muffins will Liz make if she uses all 9 cups of flour?

Answers

well, first off let's convert the mixed fractions to improper fractions.

[tex]\stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} ~\hfill \stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}}[/tex]

now, let's use proportions to bind the sugar and flour that she'll be using, now if she were to use the 9 cups of flour, let's see how much will that be in sugar for this recipe

[tex]\begin{array}{ccll} \stackrel{cups}{sugar}&\stackrel{cups}{flour}\\ \cline{1-2} \frac{4}{3}&\frac{9}{4}\\[1em] S&9 \end{array}\implies \cfrac{~~ \frac{ 4}{3 } ~~}{S}~~ = ~~\cfrac{~~ \frac{ 9}{ 4} ~~}{9}\implies \cfrac{~~ \frac{ 4}{3 } ~~}{\frac{S}{1}}~~ = ~~\cfrac{~~ \frac{ 9}{ 4} ~~}{\frac{9}{1}}\implies \cfrac{4}{3S}=\cfrac{1}{4} \\\\\\ 16=3S\implies \cfrac{16}{3}=S\implies \boxed{ {\Large \begin{array}{llll} 5\frac{1}{3}=S \end{array}}}[/tex]

now, we know that 9/4 cups of flour gives Liz 18 muffins, well hell  how many for 9 cups of flour then?

[tex]\begin{array}{ccll} \stackrel{cups}{flour}&muffins\\ \cline{1-2} \frac{9}{4} & 18\\[1em] 9& M \end{array} \implies \cfrac{~~ \frac{ 9}{4 } ~~}{9}~~=~~\cfrac{18}{M}\implies \cfrac{~~ \frac{ 9}{4 } ~~}{\frac{9}{1}}~~=~~\cfrac{18}{M} \\\\\\ \cfrac{1}{4}=\cfrac{18}{M}\implies \boxed{M=72}[/tex]

Please Help I would really appreciate it!

What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:slope(m) = \dfrac{3}{4} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Slope (m) of a line can be calculated by using this formulae :

[tex]\qquad \tt \rightarrow \: m = \dfrac{rise}{run} [/tex]

Considering two points [ (10 , 10) and (50 , 40) ]

[tex]\qquad \tt \rightarrow \: m = \dfrac{y2 - y1}{x2 - x1} [/tex]

[tex]\qquad \tt \rightarrow \: m = \dfrac{40 - 10}{50 - 10} [/tex]

[tex]\qquad \tt \rightarrow \: m = \dfrac{30}{40} [/tex]

[tex]\qquad \tt \rightarrow \: m = \dfrac{3}{4} [/tex]

So, slope of given line is 3/4

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

To find the slope of a graph you need to look for 2 pairs of accurate xand y values

First value which is accurate is:

x = 10 and y= 10

Second pair which is accurate is :

x = 50 and y = 40

Gradient = rise/run = y2-y1/x2-x1

im taking y2 as 40, x2 as 50, y1 as 10 and x1 as 10

40-10/50-10

= 30/40

=3/4

plsss mark as brainliest

Why can it help to line up the decimal
points before comparing and ordering
numbers with decimals?

Answers

Answer: Why it makes sense: When we compare or order decimals we need to compare place values just like we do with whole numbers. When the edges are “jagged” it makes it harder to compare each decimal place. Adding a zero in an empty place value makes it easier to compare the numbers.

Step-by-step explanation:

Answer:

you need to line them up to tell what place value each are in. if u don't the you won't known exactly what the product is equivalent to.

Find the distance from the point A(−2, 3) to the line y = 12x+1. Round your answer to the nearest tenth.

Answers

Im pretty sure that it is 2√5.

When Riley left her house in the morning, her cell phone battery was partially
charged. The charge remaining in Riley's battery, as a percentage, can be modeled by
the equation B = 40 - 5t, where t is the number of hours since Riley left her
house. What is the x-intercept of the equation and what is its interpretation in the
context of the problem?

Answers

Riley's phone had a 50% charge when she left her home in the morning. Equation B = 40 - 5t. The x-intercept of the equation is (8,0). After 8 hours, Riley battery has no charge left in it ( since Riley left her house).

Given that,

Riley's phone had a 50% charge when she left her home in the morning. Equation B = 40 - 5t, where t is the number of hours since Riley left her residence, can be used to predict the percentage of charge still in Riley's battery.

We have to find what is the equation's x-intercept and how is it interpreted in the problem's context.

The equation B=40-5t can be used to model Lauren's battery charge remaining as a percentage when t is the number of hours since she left her home.

Put B = 0 to determine the x-intercept. (In this case, the independent variable is "t," as x signified the independent variable).

0=40-5t

5t=40

t=40/5

t=8

Therefore, the x-intercept of the equation is (8,0).

After 8 hours, Riley battery has no charge left in it ( since Riley left her house).

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write and find the general solution of the differential equation that models the verbal statement. the rate of change of n is proportional to n. (use k for the proportionality constant.) evaluate the solution at the specified value of the independent variable. when t

Answers

the whole answer to the differential equation used to model the statement. The relationship between the rate of change of n and n is (dN/dt)=kN.

Differential equation definition

A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions. Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.

According to given data;

The derivative of N with respect to t, or (dN)/(dt), represents the rate of change of N.

dN/dt = kN, where k is the proportionality constant, if the rate of change of N is proportional to N. We must solve this differential equation.

To solve it, separate the variables:

(dN)/N = kdt

Integrating both sides results in

ln N = kt + C , where C is another constant.

This can be rewritten in exponential form as

N = e^(kt + C)

= N_0e^(kt) .

Here, N_0 = e^C

and it equals N(t) when t = 0.

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#2 The number of bacteria in a refrigerated food is given by N(T)=20T2-20T+120 for -2T14 Tand where T is the temperature of the food in Celsius.
(a)Explain the meaning of -2T14 in this context
(b)Determine the temperature the number of bacteria will be minimal?
(c)Find number of bacteria in a above
(d) Sketch a graph

Answers

From the given quadratic function, it is found that:

a) The interval -2 ≤ T ≤ 14 gives the range of the temperature of the food in Celsius.

b) The number of bacteria will be minimal for a temperature of 0.5 ºC.

c) The minimum number of bacteria is of 115.

d) The graph that models the situation is sketched at the end of the answer.

What does the quadratic function models in this problem?

The quadratic function is given as follows:

N(T) = 20T² - 20T + 120, -2 ≤ T ≤ 14.

In which:

T is the temperature in Celsius of the food.N(T) is the number of bacteria in the food.

The function has a domain of -2 ≤ T ≤ 14, meaning that these are the possible temperatures of the food.

For a concave up quadratic function, the minimum value happens when the input is of:

Tm = -b/2a.

For this problem, the coefficients of the quadratic function are as follows:

b = -20, a = 20.

Hence the temperature in which the number of bacteria will be minimal is of:

Tm = 20/40 = 0.5 ºC.

The number of bacteria with this temperature is given by the numeric value of the function when T = 0.5, that is, each instance of T in the function is replaced by 0.5, hence:

N(0.5) = 20(0.5)² - 20(0.5) + 120 = 115 bacteria.

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What is the best estimate of 31 3/4 X 4 1/7 = ? Help Me?!!​

Answers

The best estimate of fraction is 131.445.

What is fractions?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is [tex]\frac{1}{2}[/tex]

Given Data

31[tex]\frac{3}{4}[/tex] × 4[tex]\frac{1}{7}[/tex]

Solving mixed fractions

[tex]\frac{127}{4}[/tex] × [tex]\frac{29}{7}[/tex]

31.75 × 4.14

Multiplying

131.445

The best estimate of fraction is 131.445.

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What is the truth value for the following conditional statement?
p: false
q: true
~p~q
OTF F
OTF-T
OFF-T
OFT F

Answers

This is the right response: T F- F.

What is the explanation:

If the answer to the following question is p, then 2 + 2 = 4.

which is accurate, meaning that this statement has a truth value of True.

The following assertion q illustrates q: 7 + 1 Equals 7.

This is untrue, making the statement's truth value Untrue

As far as we are aware, "pq (p implication q)" means that the truth value of the implication is False only when the truth value of statement p is True.

The truth table reveals that the truth value of pq will be False

So T F → F

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please help me on this i don’t know how to do it like help me my brother

Answers

The line segment NO of the triangle MNO, that is similar to the triangle QRS, has a length of 25 meters.

How to determine the missing length of geometric system formed by two similar triangles

In this problem we have a system of two similar triangles. Two triangles are proportional when the sides of a triangle are proportional to the corresponding sides of the other triangle. Herein we find the following relationship:

MN / QR = NO / RS = MO / QS

If we know that QR = 1 m, MN = 5 m and RS = 5 m, then the length of the line segment NO is:

NO = (MN / QR) · RS

NO = (5 m / 1 m) · 5 m

NO = 25 m

The line segment NO has a length of 25 meters.

Remark

There is a typing mistake in the statement, correct form is introduced below:

Given ΔMNO and ΔQRS are similar triangles. If QR = 1 meters, MN = 5 meters and RS = 5 meters. What does line NO equal to?

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Estimate the quotient of 41 ÷ 7.94.

4
5
6
7

Answers

8x5 equals 40 so 5 should be your best estimate

When adding and subtracting with significant digits, it's important to consider decimal places in the numbers being added.

TRUE or FALSE?

Answers

Answer:

false

Step-by-step explanation:

pls pls help whoever gets it right gets marked brainliest

Answers

Answer:

Step-by-step explanation:

B

From the angle sum theory of triangle, the total sum of the 3 angles of the triangle should be 180.

Interior angle + exterior angle of a triangle = 180
Other Questions
There are two bags of marbles. The first contains one blue, one yellow and two reds. The seconds contains one red, one blue and two yellows. A random marble from each bag is removed. What is the probability of removing a blue and yellow? Give answer as a fraction. Freud thought that personality was formed by the unconscious mind. Why was this idea criticized? why have most cultures throughout history used artistic works as a form of respresentation A 3 lb (1.36 kg) bag of carrots cost $3.25, a 75 lb (ca. 34 kg) bag of carrots cost $4.75, which is the better deal? stock a has a standard deviation of 22% and an expected return of 12%. stock b has a standard deviation of 25% and an expected return of 10%. jami's fund is a simple investment product that consists of 40% stock a and 60% stock b. calculate the expected return of jami's fund. choose the best answer. After learning about the background information, why might the brothers be on different sides of the civil war? When note-taking during research, what is the best answer for the items should you keep notes about? Question 14 options: a) authors b) titles c) dates of publication d) all of these are needed items Pleaseeeee help answer in own words dont have to be long leave the ones u dont know lol. Ill brainlist i promiseeee.1) what problems. In terms of dealing with each other, would the indigenous people and the early British settlers have had with one another?2) John Batman bought a large chunk of land from the Wurundjeei people in 1835. What did that mean for both sides? 3) what had the largest impact on the population of indigenous peoples in the early years of British settlement and why?6) at coranderrk station, what did the Kulin nations people do to try maintain a sunctuary for themselves? 7) William coopers petition to the king was aimed at what exactly?8) Why did the 1939 cummeragunja walk-off occur? 3. Perform the indicated operation. Show all necessary work.(a) -1.424-2.9(b) 1.424-(-2.9)(c) -1.424-(-2.9) -0.576Answer: An arch is in the shape of a parabola. It has a span of 72 meters and a maximum height of 9 meters. In the following exercise, two sides and an angle are given. First determine whether the information results in no triangle, one triangle, or two triangles. Solve the resulting triangle.a=229,b=244, and A = 37.8 You're trying to choose between two different investments, both of which have up-front costs of$30,000. Investment G returns $65,000 in six years investment H returns $98,000 in nine yearsperiod new sentence which of these investments has higher return? In what sense did federalists think that antifederalists were undermining the foundations of republicanism and that they, the federalists, were actually saving the revolution?. b. What is the atomic mass of the element in period 5, group 14? At the time of retirement a couple has $250,000 in account that pays 8. 4% compounded monthly. If the couple decides to withdraw from the account monthly for 10 years, how much should they withdraw every month if they dont want any money in the account after those 10 years?. Write the equation of the line that passes through the points (-1,4)and (1,0). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. Zoe's workstation is being evaluated by an ergonomics specialist. How far away would they recommend she position her monitor?Question 6 options:12 inches from her eyes36 inches from her eyes20 inches from her eyes30 inches from her eyes There was a big snowstorm on Friday night. By Saturday afternoon, 3 inches of the snow had melted. There were still 8 inches of snow left. Solve an equation to find how many inches of snow fell during the snowstorm. Type your response in the box.As you read these two scenarios, think about the possibilities that exist when starting a business and the choices that must be made. Then answer the question that follows.Scenario 1Kristina wants to expand her custom furniture business. Shes been building furniture in her basement for a few years now. She started out selling only to friends and family and then began to sell online. Now shes getting so many orders that she can barely keep up with them all. She knows that to expand, she needs to start a factory and hire workers. She decides on a location about 10 minutes from her home. Over dinner with a friend, she explains how fortunate she is to live near a major city with a big airport, a good highway system, and an educated workforce and to have a business in a state with minimal regulations and low taxes.Scenario 2Andrew has been creating custom car accessories in his garage for years. Hes been selling so many accessories online that he can barely keep up with his orders. He lives in a small town, so there arent many people he can employ to work for him. He pays a significant amount of his income in taxes as well. He realizes he might need to move to expand his business. But hes dreading the trip to investigate possible locations because its a two-hour drive on narrow two-lane roads to reach the nearest major airport.What is driving Andrews and Kristinas decisions on where to expand their businesses? Water boils and becomes a gas at 100c .What are the states of sodium ,chlorine and sodium chloride at 100c ?