Imagine you have a very long belt. Well, extremely long, really … in fact, it’s just long enough that it can wrap snugly around the circumference of our entire planet. (For the sake of simplicity, let’s suppose Earth is perfectly round, with no mountains, oceans, or other barriers in the way of the belt.) Naturally, you’re very proud of your belt. But then your brother, Peter, shows up—and to your disgruntlement, he produces a belt that’s just a bit longer than yours. He brags his belt is longer by exactly his height: 6 feet. If Peter were also to wrap his belt around the circumference of Earth, how far above the surface could he suspend the belt if he pulled it tautly and uniformly?

Answer:

2^1

According to the product of powers with the same base, a^m * a^n = a^m+n.

Basically, when you're multiplying exponents with the same base, you can add the powers together to get the answer.

2^6 * 2^-5

The bases are the same, so we can apply this rule.

6 + -5 = 1

This gives you the answer of 2^1.

Answer:

y=-6

Step-by-step explanation:

The line shown is a horizontal line via the y-axis and has the equation y=4. A parallel line to it is a line that doesn't pass it. It may even have the form y=a wherein a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.

please mark me brainliest!

y=-6 is the  equation of the line that is parallel to the given line and passes through the point (-4,-6 )

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of the line passing through points ( -8, 4) and (8, 4)

m=4-4/8+8

=0

Slope is zero.

The slope of the parallel line will be also zero.

Now equation of line passing through (-4, -6) which is parallel.

Let us find y intercept

-6=-4(0)+b

-6=b

So the equation will be y=-6.

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44.4 degrees

44.4 degrees

The triangles are similar.

Step-by-step explanation:

The measurements of missing angles are 44.4 each and the triangles are similar.

Two triangles are said to be similar if they have congruent corresponding angles and their corresponding sides are in equal ratios.

Given that, there are two triangles, ΔQSR and ΔTUV, where ∠Q and ∠U = 98° and ∠V and ∠R = 37.6°, we need to find the measurement of third angle in both and the relation between the triangles,

Using the angles sum property of a triangles,

∠Q + ∠S + ∠R = 180°

∠T + ∠U + ∠V = 180°

Therefore,

∠S = 180°-(37.6°+98°)

∠S = 44.4

Similarly,

∠T = 44.4

Since, all the corresponding angles are congruent therefore, the triangles are similar.

Hence the measurements of missing angles are 44.4 each and the triangles are similar.

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Answer:

53/66

Explanation:

We can use complementary counting to find the probability of picking the outcomes we don't want, and then subtracting that from the whole. The outcomes we don't want are PPPP and PPPN.

Probability of picking PPPP: 5/11 * 4/10 * 3/9 * 2/8 = 120/7920 = 1/66

Probability of picking PPPN: 5/11 * 4/10 * 3/9 * 6/8 = 360/7290 = 3/66

We can arrange PPPN in four different ways (PPPN, PPNP, PNPP, NPPP) so we need to multiply by 4, giving 12/66.

The total of these two probabilities is 13/66. Subtracting from 66/66, the answer is 53/66.

53/66 is the probability that after drawing four coins.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that a hat contains six nickels and five pennies

Drawn coins from the hat at random, without replacement.

We need to find the probability that after drawing four coins in which removed at most two pennies from the hat.

We use complementary counting to find the probability of picking the outcomes.

Probability of picking PPPP:

5/11 × 4/10 × 3/9 × 2/8

= 120/7920

= 1/66

Probability of picking PPPN:

5/11 × 4/10 × 3/9 × 6/8

= 360/7290

= 3/66

Four different ways of arranging PPPN is (PPPN, PPNP, PNPP, NPPP)

3/66×4= 12/66.

The total of these two probabilities is 13/66.

1-13/66

53/66

Hence, 53/66 is the probability that after drawing four coins.

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Answer:

A=-3

B=-1

ans:-1-(-3)=2

Step-11by-step explanation:

Ax+By=3,m1= -A/B

x+3y= -5,m2= -1/3

A/B=1/3(parallel)

3A=B

(-7,2)

-7A+2B=3

-7A+6A=3

A= -3

B=-3/3= -1

-1-(-3)=2

Answer:

Step-by-step explanation:

a)180 degrees

b)parallel

c)90 degrees

d)supplementary and adiacent

e)right

f)supplementary

Answer:

a) 180°

b) parallel

c) 90°

d) adjacent  

e) right  angled

f) supplementary

Answer:

It's asking you to write the function in a factored form  for example g(x) or f(x) that's why its asking for you to use the x as the variable.

Step-by-step explanation:

The techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.

The geometric construction is the method by which the figures of geometry are drawn using the different geometric instruments.

The techniques used in geometric constructions with paper folding are listed below.

Thus, the techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.

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Answer:

Drawing line segments
Marking Points
Folding the paper and aligning marks seen through the paper

Answer:

{(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}

Step-by-step explanation:

The points are (-2, 3), (0, 3), (1, 1), (3, 4) and (4, 6) so the answer is {(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}

Answer:

{(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}

Step-by-step explanation:

I suck at explain and dont want to say the wrong thing and misword but hope I helped :)

Answer:

[tex]756\pi[/tex]

Solution,

Volume of cone=270 pi cm^3

[tex] \frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm[/tex]

Volume of semisphere:

[tex] \frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi[/tex]

Total:

[tex]270\pi + 486\pi \\ = 756\pi[/tex]

hope this helps...

Good luck on your assignment..

Answer:

B. 7/4

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Plug in the coordinates:

m = (15 - 8)/(9 - 5)

m = 7/4

Answer:

V( 3, -8 )

Step-by-step explanation:

Parable equation is of the form:

( x - h )² = 4p*(y - k)

In that expression, vertex has coordinates V ( h, k )

Then all we have to do is transform the given equation

y = x² - 6x + 1       or     x² - 6x  = y - 1          (1)

We can get a  perfect square trinomial in the first member of the equation according to:

x²  -  6x   =   ( x - 3 )²  - 9

(x - 3 )²   = x² - 6x  + 9

By substitution  en equation (1)

( x - 3 )² - 9 = y - 1

( x - 3 )² = y -1 + 9

( x - 3 )² = y + 8

( x - 3 )² = (y + 8 )

Then vertex coordinates are

V( 3 , -8)

Answer:

-7

Explanation:

7/8 x - 16 x -7 x -1/14 = -7

Answer: -7

7/8 x -16 = -14

-14 x -7 = 98

98 x 1/14 = -7

ANSWER IS -7

Answer:

x = 65

Step-by-step explanation:

interior angles = 180°

45° + (2x - 5)° = 180°

(2x - 5)° = 180° - 45°

(2x - 5)° = 135°

2x° = 135° - 5°

2x° = 130°

x° = 130° ÷ 2

x° = 65°

x = 65

Answer:

At a distance of 4 tick marks above

Step-by-step explanation:

Answer:

Since the lines are parallel, the alternate interior angle to 35° is also 35°. Using the exterior angle theorem (exterior angle = sum of its remote interior angles) we can write:

x + 35 = 105

x = 70°

Answer:

99.84

Step-by-step explanation:

Take the original price and subtract the discount

125 - .25 * 125

125 -31.25

93.75

Now add in the tax

93.75+.065*93.75

93.75+6.09375

99.84375

Rounding to the nearest cent

99.84

Answer:

Step-by-step explanation:

Write and solve an equation of ratios:

 9        4

----- =  -----

 x         10

Then 4x = 90, and x = 22.5

It will take exactly 22.5 cans of paint to cover 10 rooms.  The painter must buy 23 cans.

Answer:

A

Step-by-step explanation:

f(x)=4^x-2

g(x)=4^x+7

it is horizontal shift 9 unit to the left

hope it works

Answer:

A: A horizontal shift of 9 units left

Hope this helps! :D

Step-by-step explanation:

Answer:

B, x≥2

Step-by-step explanation:

54 - 10x ≤ 20 + 7x - subtract 20

34 - 10x ≤ 7x - add 10x to 7x

34 ≤ 17x - divide 34 by 7

2 ≤ x - flip the equation - x ≥ 2

Hope this is helpful!

Answer:

Choice B

Step-by-step explanation:

TRUST ME. IF YOU WANT EXPLANATION:

54 - 10x < = 20 +  7x

54 - 20 < = 7x + 10x

34 < = 17x

34/17 < = x

2 < = x.....or x > = 2....its B trust me

Answer:

Answer Choices??

Step-by-step explanation:

Answer:

order:

-3 bills from first envelope (-30 dollars)

-2 bills from second envelope (-40 dollars)

-1 bill from third envelope (-50 dollars)

total least possible amount that can be taken out: 120

Step-by-step explanation:

Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.

Answer:

$120

Step-by-step explanation:

So this question isn't hard either

We can cross out excess information and just find the main points.

a. 3 Envolopes containing 10 bills, 20 bills, and 50 bills

b. 1-3 bills are taken out of each envolope

c. It wants you to find the least possible amt. that could have been token out.

So since we want the least, we must take the smallest out of the largest

In order, 1 from 50 (largest)

2 from 20 (middle)

and 3 from 10 (smallest)

this leaves us the equation (1x50) + (2x20) + (3x10) => 50+40+30 => 120

Thus, we have our answer 120

Hope this helps!

Answer:

Step-by-step explanation:

Concepts used :

sum of angles at a point on straight line is 180

if a transversal intersects two parallel lines then alternate angles are equal.

____________________________________________

∠∠∠∠∠

m∠1 + m∠2 + m∠3 = 180   ____________(A)

reason :sum of angles at a point on straight line is 180

these angles lie on LAM at point A

m∠1  = m∠5

Reason: alternate angles  y ∥ x and AC is transversal

m∠3  = m∠6

Reason: alternate angles  y ∥ x and AB is transversal

Substituting m∠1  with  m∠5 and m∠3  with m∠6

in equation A---m∠1 + m∠2 + m∠3 = 180

m∠5 + m∠2 + m∠6 = 180

Hence proved.

Answer:

The answers are below. Hope this helped. I sacrificed my answers ˙-˙ :)

Step-by-step explanation:

<1 congruent to <5                Given

<3 congruent to <6               Alternate Interior Angles theorem

m<1 = m<5                             Alternate Interior Angles theorem

m<3 = m<6                            Definition of congruent angles

m<1+m<2+m<3=m< LAM      Definition of congruent angles

m<1+m<2+m<3=180             Angle additon postulate

m<5+m<2+m<6=180            Definition of straight angle

Answer:

C

Step-by-step explanation:

1. Factor a negative one out of the problem.

-1( 7x^2 +5x -18)

2. Factor.

 {Factors of 7= 7 &1}

3. (7x ___) (x _____)

Factors of 18= 6,3,18,1,2,9

5 needs to be postive.

Answer:

an = an-1 +4  

a1 = 14

Step-by-step explanation:

The recursive formula is

an = an-1 +d  where d is the common difference

a1 = initial term

a1 = 14

d = the difference between the terms

Take the second term and subtract the first term

18-4 = 4

That is the common difference

an = an-1 +4  

a1 = 14

If we will analyze this sequence, we will notice that:

So,

[tex]\boxed{\left \{ {{a_1=14} \atop {a_n=a_{n-1}+4}} \right.}[/tex]

Therefore, the correct option is letter C.

Answer:

*regular-sized hot dog contest has greater variability

*The difference in the medians of the two contests is approximately 2 times the interquartile range.

Step-by-step explanation:

Variability of the data from both contests can be compared using the range or interquartile range of each set of data from both contests.

The greater the value of the range or interquartile range, the greater the variability.

Range for regular-sized hot dog contest = 32 - 17 = 15

Range for Jumbo-sized hot dog contest = 22 - 8 = 14

Interquartile range for regular-sized hot dog contest = 27 - 22 = 5

Interquartile range for jumbo-sized hot dog contest = 16 - 11 = 5

Median for regular-sized hot dog contest = 23

Median for jumbo-sized hot dog contest = 14

The difference in the median of both contests = 23 - 14 = 9, which is approximately 2 times the interquartile range (5)

Thus, results for the regular-sized hot dog contest has greater variability, be side its range is 5, which is greater than that for jumbo-sized contest.

The difference in the medians of the two contests is approximately 2 times the interquartile range.

The interquartile range of both contests is 5. The median difference between both contests is 9, it is approximately 2 times 5. (i.e. 9/5 = 1.8 ≈ 2).

Answer:

28.4 cups

Step-by-step explanation:

If 5 people have a combined weight of 880 pounds, each person sould have a weight of 880/5 = 176 pounds.

Now, we can set up a proportion:

[tex]\frac{176}{50} =\frac{100}{x}[/tex]

Cross Multiply:

176x = 5000

x = 5000/176 = 28.4 cups

The required number of cups that each person has 5.6 cups per 100 pounds.

There are 50 cups of rice and group of 5 combined weight of 880 pounds. To determine how many cups each person should get per 100 pounds.

Fraction is defined as the number of composition constitute the whole.

average wait of people = 880/5 = 176 pounds
Each person can have cup beside the 100 pound weight = 50/5 = 10(max)

Number of cups per 100 pounds = 50/880*100

                                                       = 5.6 cups per 100 pound

Thus, the required number of cups that each person has 5.6 cups per 100 pounds.

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Answer:

79

Step-by-step explanation:

If we square m + 1/m we get (m + 1/m)² = m² + 2 * (m * 1/m) + 1/m² = m² + 2 + 1/m². Since m + 1/m = 9, (m + 1/m)² = 81 so that means that m² + 1/m² = 81 - 2 = 79.

Answer:

79 is correct  

Answer:

81^5/4

Rewrite 81 in index form that is 3⁴

So we get

3⁴ × ^5/4

= 3^5

= 243

Hope this helps

Answer:

243 is correct

Step-by-step explanation:

Answer:

9:13.

Step-by-step explanation:

$1.30 = 130 cents

So the ratio is 90:130

= 9:13.