What did the mathematician do over winter break

Answers

Answer 1

Answer:

he hit the slopes  

Step-by-step explanation:

;)


Related Questions

If Greg but 10 pieces of candy for $5.20 How much will it be for one piece of

Answers

Answer:

One piece of candy costs $0.52.

Step-by-step explanation:

5.2/10=0.52

The lines $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$ are parallel. If $\angle BAE=54^{\circ}$ and $\angle DCE=25^{\circ}$, what is the measure of $\angle AEC$?

Use an asymptote convertor if needed:

[asy]
size( 200 ) ;

pair A = (0,0) ;
pair B = (0,2) ;
pair C = (3,0.5) ;
pair D = (3,2.5) ;
pair ptE = extension( A , A+dir(90-54) , C , C+dir(90+25) ) ;

draw( (0,-0.5)--(0,3) , linewidth(1.3) ) ;
draw( (3,-0.5)--(3,3) , linewidth(1.3) ) ;
draw( A--ptE--C ) ;
dot(Label( "$A$" , A , W )) ;
dot(Label( "$B$" , B , W )) ;
dot(Label( "$C$" , C , E )) ;
dot(Label( "$D$" , D , E )) ;
dot(Label( "$E$" , ptE , N )) ;

label( "$54^{\circ}$" , A , 5dir(70) ) ;
label( "$25^{\circ}$" , C , 8dir(100) ) ;
[/asy]

Answers

Answer:

  79°

Step-by-step explanation:

Label the intersection of AE and CD point F. Then angle CFE is an alternate interior angle with angle BAE, so is congruent. The angle of interest is an exterior angle to triangle CFE, so is the sum of remote interior angles CFE (54°) and DCE (25°). That sum is ...

  m∠AEC = 54° +25° = 79°

Based on the definition of alternate interior angles, the measure of ∠AEC is: 79°

What are Alternate Interior Angles?

Interior angles that are alternating each other on a transversal are congruent, and are called alternate interior angles.

Thus:

m∠AEC = m∠BAE + m∠FCE

Substitute

m∠AEC = 54° + 25°

m∠AEC = 79°

Therefore, based on the definition of alternate interior angles, the measure of ∠AEC is: 79°

Learn more about alternate interior angles on:

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For all values of x, which expression is equivalent to x + 1 − x + 2x + x + 1?

Answers

Answer:

3x+2

Step-by-step explanation:

We want to find an expression that is equivalent to:

[tex]x+1-x+2x+x+1[/tex]

We regroup similar terms to get:

[tex]x-x+2x+x+1+1[/tex]

We now combine the similar terms to obtain:

[tex]3x+2[/tex]

Therefore the expression that is equivalent to:  x + 1 − x + 2x + x + 1 is [tex]3x+2[/tex]

Answer:

3x + 2

Step-by-step explanation:

3x + 2

Solve by simplifying the given expression OR substitute 1 for x in each expression.

x + 1 − x + 2x + x + 1 → x − x + 2x + x + 2 → 3x + 2

OR

x + 1 − x + 2x + x + 1 → 1 + 1 − 1 + 2(1) + 1 + 1 = 5

3x + 2 → 3(1) + 2 = 5

what is the answer to 10+7x

Answers

Answer:if u I simplified then 17x

Step-by-step explanation:

Like terms are 10+7=17+x=17x

I don’t understand how to get the answer

Answers

x = –5 or x = 3

Solution:

Given expression:

[tex]|-1-x|=4[/tex]

[tex]\Rightarrow |-x-1|=4[/tex]

⇒ –x – 1 = 4 or –x – 1 = 4

First take –x – 1 = 4.

Add 1 on both side of the equation.

⇒ –x – 1  + 1 = 4 + 1

⇒ –x = 5

Divide by –1 on both side of the equation, we get

x = –5

Now take –x – 1 = –4.

Add 1 on both side of the equation.

⇒ –x – 1  + 1 = –4 + 1

⇒ –x = –3

Divide by –1 on both side of the equation, we get

x = 3

x = –5 or x = 3

Hence the two values of x are –5 or 3.

IM KINDA SLOWWWWW sorry

Answers

This may not be useful and I’m not exactly sure what you’re trying to ask but I’ll do my best to explain.

For the square root of 48, you can simplify it by finding two numbers; one of them having a perfect square and whatever number you choose for the second one, you find numbers there with one number having a perfect square. So for example, I would do 4*12 since it’s the easiest one I know. 4 has a square root of 2. However, with twelve, you can find two numbers that multiply to it with one of them with a perfect square, which would be 4*3,(again 4 having a perfect square root). So you would multiply 2 from the first 4(when you square rooted it), and the second 2( from 4*3). You should get 4 √ 3. The little sign means square root by the way. And if u wanna make sure they are equivalent, you can find the square root of 48 and find the product of 4 times the square root of 3. They should give the same answer.

You cannot simplify the square root of 15 as there are no two numbers with one of them having a perfect square.

You can simplify the square root of 100, that gives you 10.

This may not have helped, but I tired to explain it the best I could. Let me know if u want another explanation :)

20 business cards are placed in a hat, 10 belong to women, 10 belong yo men If 2 cards are drawn at once. what's the probability that the first is a Man's card and the Second, A woman's card?
5/19
14/19
1/4
9/10

Answers

Answer:

First choice:

               [tex]\large\boxed{\large\boxed{5/19}}[/tex]

Explanation:

The probability that the first is a man's card and the second, a woman's card is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards  in the hat has changed.

In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.

1. Probability that the first is a man's card

Number of cards in the hat = 20 (the 20 business card)

Number of man's card in the hat: 10

Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.

2. Probability that the second is a woman's card

Number of cards in the hat = 19 (there is one less card in the hat)

Number of wonan's card in the hat: 10

Probability = favorable oucomes / possible outcomes = 10/19.

3. Probability that the first is a man's card and the second, a woman's card

(1/2) × (10/19) = 5/19

That is the first choice.

Answer:

5/19

Step-by-step explanation:

I know this isn't as good as the other persons answer but I wanted to reassure you that it was correct and my proof is that I took a test on this and got it right with this answer. I hope I helped! :>

how do you do number 5 please.

Answers

Answer:

2.4 kg

Step-by-step explanation:

Given

dog eats 0.3 kg of dog food each day

hence we can say that  the unit rate is 0.3 kg per day

1 day ------> eats 0.3 kg

8 days -------> eats 0.3 kg x 8 = 2.4 kg

Answer:

2.4 kilogram

Step-by-step explanation:

If

1 day = 0.3kg

8day =

0.3 multiply by number of days

0.3kg * 8= 2.4kg

write a number with two decimal places that are bigger than 4 1/5 but smaller than 4.25

Answers

Answer:4.21,4.22,4.23, 4.24

Step-by-step explanation:

4 1/5 is 4.2 as a decimal and the numbers between 4.2 and 4.5 as numbers with 2 places past the decimal place are the ones above.

The number with two decimal places that are bigger than 4(1/5) and smaller than 4.25 is 4.22.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4(1/5)

= 21/5

= 4.2

Now,

Two decimal numbers between 4.2 and 4.25.

4.21, 4.22, 4.23, and 4,24.

Thus,

The number is 4.22.

Learn more about expressions here:

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What is 8x to the second power plus 10x

Answers

The answer is 74x
hope this helps!

The expression [tex]8x^2 + 10x[/tex] factors to [tex]2x(4x + 5)[/tex] and has solutions x = 0 and x = -5/4.

We first need to understand what it represents. In this expression, [tex]x[/tex] is the variable, and the terms [tex]8x^2[/tex] and [tex]10x[/tex] are polynomial terms where:

[tex]8x^2[/tex] indicates that the variable [tex]x[/tex] is raised to the power of 2, meaning it is multiplied by itself ([tex]x \times x[/tex]) and then scaled by a factor of 8.

[tex]10x[/tex] means that the variable [tex]x[/tex] is multiplied by 10.

The first term is [tex]8x^2[/tex].

The second term is [tex]10x[/tex].

In this case, the terms are not like terms because one is [tex]x^2[/tex] and the other is [tex]x[/tex]. Therefore, they cannot be combined further. The expression is simplest as it stands, which is:  [tex]8x^2 + 10x[/tex]

Factoring out [tex]2x[/tex] gives us:

[tex]2x(4x + 5)[/tex]

Thus, [tex]8x^2 + 10x[/tex] can also be expressed as [tex]2x(4x + 5)[/tex]. This is useful if you are trying to find the roots of the equation (setting it equal to zero) since it can help identify the values of [tex]x[/tex] that satisfy the equation [tex]8x^2 + 10x = 0[/tex].

This gives two possible solutions for x:

2 * x = 0 which leads to x = 0

4 * x + 5 = 0 which leads to x = -5/4

Which value of n makes the equation true? 6n − 2(4n + 7) + 4 = -2

Answers

Answer:

n = - 4

Step-by-step explanation:

Given

6n - 2(4n + 7) + 4 = - 2 ← distribute and simplify left side

6n - 8n - 14 + 4 = - 2

- 2n - 10 = - 2 ( add 10 to both sides )

- 2n = 8 ( divide both sides by - 2 )

n = - 4

To solve the equation 6n - 2(4n + 7) + 4 = -2, we apply the distributive property and combine like terms to simplify. The solution is n = -4.

To solve the equation 6n - 2(4n + 7) + 4 = -2, we need to apply the distributive property and combine like terms to simplify.

Distribute the -2 to both terms inside the parentheses: -2(4n + 7) = -8n - 14.Combine like terms: 6n - 8n - 14 + 4 = -2.Combine like terms again: -2n - 10 = -2.Next, we isolate the variable n by adding 10 to both sides: -2n - 10 + 10 = -2 + 10.Simplify: -2n = 8.Finally, solve for n by dividing both sides by -2: n = 8 / -2.

Therefore, the value of n that makes the equation true is n = -4.

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what is the solution ? Please help with this !!

Answers

Answer:

the answer is c

Step-by-step explanation:

see picture

20 PPOINTS SOMEONE PLEASE HELP ME ON #11 pleaseeee

Answers

Answer:

Set #9 are congruent triangles.

Step-by-step explanation:

They are the same shape and size. If I were to flip them over, they would mach up.

Answer:

cap its only 10

Step-by-step explanation:

Louise completed the work shown below.

(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.

Answers

Louise’s answer is not correct

Step-by-step explanation:

Let us revise how to solve (ax + b)²

Square the 1st term ⇒ (ax)²Multiply the 1st term, the 2nd term and 2 ⇒ 2(ax)(b)Square the 2nd term ⇒ (b)²(ax + b)² = (ax)² + 2(ax)(b) + (b)²

The answer of square a binomial contains three terms: (1st)² + 2(1st)(2nd) + (2nd)²

∵ The bracket is (5x³ + 3)²

- Square the first term

∴ The first term of the answer = (5x³)² = (5)²(x³)² = [tex]25x^{6}[/tex]

- Multiply the 1st , the 2nd term and 2

∴ The second term of the answer = 2(5x³)(3) = 2(5)(3)x³ = 30x³

- Square the 2nd term

∴ The third term of the answer = (3)² = 9

∴ (5x³ + 3)² =  [tex]25x^{6}[/tex] + 30x³ + 9

∵ Louise’s answer is (5x³)² + (3)² =  [tex]25x^{6}[/tex] + 9

- By comparing the his answer with the answer above, he did

   not find the middle term

Louise’s answer is not correct

Learn more:

You can learn more about expand a binomial in brainly.com/question/2334388

#LearnwithBrainly

Answer:

Sample Response: Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.

Step-by-step explanation:

Sample Response ^^^


in the rectangle below ac=48 units what is de

Answers

Answer:

24

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The diagonals of a rectangle are congruent, thus

DB = AC = 48

The diagonals also bisect each other, thus

DE = 0.5DB = 0.5 × 48 = 24 → B

help asap please!!!!!!!

Answers

Answer:

VW=30, WX=20, YW=30,ZX=20

Step-by-step explanation:

Answer please! True or false!

Answers

Answer:

a. False

b. False

c. False

d. True

e. False.   (any number above 14.5 is a solution).

Step-by-step explanation:

12 + 6y > 99

6y > 87

y > 14.5.

False
False
False (the answers are equal and therefore it’s not larger than 99)
True
False (there can be multiple answers but it needs to be above 14.5)

Set up and solve a proportion 6/100=s/12

Answers

Amount of tax on the book (s) is $0.72

Step-by-step explanation:

Step 1: Given 6/100 = s/12Step 2: Cross multiply to solve for s

⇒ 6 × 12 = 100 × s

⇒ 72 = 100s

⇒ s = 72/100 = 0.72

What are all possible functions from 1 to 9

Answers

Answer:

In mathematics, a function (f) is a relationship between a given set X (called domain) and another set of elements Y (called codomain) so that each element x of the domain corresponds to a single element f (x) of the domain (the that form the route, also called scope ranking).

See: Relations and functions

In everyday or simpler language, we will say that mathematical functions are equivalent to the common logical process that is expressed as "dependent on."

Mathematical functions can refer to everyday situations, such as: the cost of a phone call that depends on its duration, or the cost of sending a parcel that depends on its weight.

As an example, what would be the rule that relates the numbers on the right with those on the left in the following list ?:

1 --------> 1

2 --------> 4

3 --------> 9

4 --------> 16

The numbers on the right are the squares of those on the left.

The rule is then to "square":

1 --------> 1

2 --------> 4

3 --------> 9

4 --------> 16

x --------> x 2.

To refer to this rule we can use a name, which is usually the letter f (of function). So, f is the rule "square the number".

Usually two notations are used:

x --------> x 2 or f (x) = x 2.

Thus, f (3) means applying the rule f to 3. Doing so results in 3 2 = 9.

Then f (3) = 9. Similarly f (2) = 4, f (4) = 16, f (a) = a 2, etc.

solve for x.

Brainlest for anyone who helps!!

thanks you

Answers

Answer:  C) 0

================================================

Explanation:

If points F and E are the midpoints of segment VU and segment ST respectively, then segment FE is the midsegment of the trapezoid. The midsegment is parallel to the bases, and the midsegment's length is found by adding up the bases VS and UT, then dividing by 2.

(VS + UT)/2 = FE

(29 + x+17)/2 = 23 ... plug in given info; isolate x

(x+46)/2 = 23

x+46 = 23*2 ... multiply both sides by 2

x+46 = 46

x = 46-46 ... subtract 46 from both sides

x = 0

What does x equal in

-0.4 (x+3)=4

Answers

Answer:

x=-13

Step-by-step explanation:

1. Divide both sides by -0.4

2. Subtract -3 on both sides.

3. -10-3=-13

what is 1% of 12.54?

Answers

Answer:

0.1254

Step-by-step explanation:

(Divide by 100 to get 1%)

Answer:

Step-by-step explanation:

0.1254

Questions 32 help plz with explanation. 15 points!!

Answers

Answer:

The man's son

Step-by-step explanation:

"Brothers and sisters I have none, but that man's father is my father's son" the part where he says "that man's father is my father's son" implies that he is looking at his son.

The graph at the right shows the relationship between distance and time for a car driven at a constant speed.

1. What is the speed?

2. Is this a function relationship?

3. If this is a function, write a rule to represent it.

Answers

Answer:

1. 60 miles per hour

2. Yes, linear

3. Y=60x

Step-by-step explanation:

1. Speed is 60 miles per hour.

2. A function relationship is a relationship between two variables.

3. The rule to represent the function is Distance = 60t.

1. What is the speed?

The speed of the car is the rate at which it is traveling. It is calculated by dividing the distance traveled by the time taken to travel that distance.

Speed = Distance / Time

From the graph, we can see that the car travels 120 miles in 2 hours. Therefore, the speed of the car is:

Speed = 120 miles / 2 hours = 60 miles per hour

2. Is this a function relationship?

A function relationship is a relationship between two variables where each input value has only one output value. In other words, for every value of the independent variable (in this case, time), there is only one corresponding value of the dependent variable (in this case, distance).

We can see from the graph that the distance traveled by the car increases linearly with time. This means that there is a one-to-one relationship between the two variables, and therefore the relationship is a function.

3. If this is a function, write a rule to represent it.

A rule for a function is a mathematical expression that shows how the dependent variable is related to the independent variable. In this case, the rule for the function would be:

Distance = Speed * Time

Substituting the speed of the car into the rule, we get:

Distance = 60 miles per hour * Time

Therefore, the rule to represent the function is:

Distance = 60t

where t is the time in hours.

is 28 √6 rational or irrational

Answers

Answer:

68.58571279792898674952395409176495897504652945838676359611.....

Irrational

Step-by-step explanation:

Answer:

It is irrational

Step-by-step explanation:

28sqrt6=sqrt(28^2*6)=sqrt(784*6)=sqrt(4704)=68.5857128...

Since the decimals go on forever, 28sqrt6 is irrational

Hope this helped!


If PQR measures 75°, what is the measure of SQR?

Answers

Answer: the measure of SQR is 53°

a teacher has 64 students to divide into small groups greater than 2 with no remaimder. how many ways can this be done?​

Answers

Divide the students into groups of 4
Final answer:

To divide 64 students into small groups greater than 2 with no remainder, you would use the concept of combinations, specifically 62C3, resulting in 3,992 possible ways.

Explanation:

A teacher has 64 students to divide into small groups greater than 2 with no remainder. To solve this, we can use the concept of combinations, denoted as nCr, where n is the total number of students and r is the size of each group. In this case, the calculation would be 62C3, which equals 3,992 ways of dividing the students into groups.

Can you please help me with the problem in the image below?

Answers

Given data:

m∠P = m∠R and TP = SR

To prove that ΔQTP ≅ ΔQSR:

Consider ΔQTP and ΔQSR,

m∠P = m∠R (given angle)

TP = SR (given side)

m∠Q = m∠Q (common angle)

∴ ΔQTP ≅ ΔQSR (by ASA congruence rule)

Hence ΔQTP and ΔQSR are congruence triangles by Angle - Side - Angle congruence rule.

Equivalent expressions 3.7r - 1.5r =

Answers

Answer:

2.2r

Step-by-step explanation:

3.7r - 1.5r =

= r(3.7 - 1.5)

= r×2.2

= 2.2r

Yo sup??

given expression: 3.7r-1.5r

3.7r-1.5r

=3.7r+(-1.5r)

=2.2r

Hope this helps.

Which of the following sets of numbers could be the side lengths of a right triangle? 5, 12, 13 5, 5, 9 14, 14, 14 2, 3, 5

Answers

Answer:

5,12,13

Step-by-step explanation:

i think thats what the other person meant to say, either way, these numbers are correct

Answer: 5, 12, 13

Step-by-step explanation:

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Simplify your answer.2/3 1/3 1/6 1/12 Which hellenistic philosophy was most strongly influenced by aristotle's emphasis on empirical knowledge? what is the answer to feet=8.5meter? __ H2O + ___02 _H2O2 ABCD is a rectangle. Two circles are drawn inside ABCD such that the circles are tangent at point G. E is the tangent point of the first circle and AB, and F is the tangent point of the second circle and BC, as shown. Find mEGF. A survey regarding the communication habits of Americans was conducted. The study randomly selected 700 American citizens and asked them a series of questions about their daily communication methods. Three primary methods of communication were identified as social media (M), SMS text messaging (T), cell phone call (C). 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