a. A person's height is positively associated with their arm span (the distance between the
ends of the fingertips as arms are held out on each side of the body). One of the tallest
men in history had an arm span measuring 7 inches more than his height. The combined
total of his arm span and height was 221 inches. How tall was this man?

Answer: 7^3/7^6= 1/343

Step-by-step explanation: We move 7^-6 to a denominator because we cannot have a negative exponent in the numerator.

So it would be 7^3/7^6

Which then would be 7*7*7/7*7*7*7*7*7

Which would equal 343/117649

Simplify and you get 1/343

Answer:

[tex]2x+3y\geq 60\\x>10[/tex]

Step-by-step explanation:

We know that she will be selling bracelets for $2 each and earrings for $3 each. That means we will have 2x+3y, where x is the number of bracelets she sells and y is the number of earrings she sells. Then we will have [tex]\geq 60[/tex] because she wants to sell at least $60 worth of earrings and bracelets. That means the amount she makes from bracelets and earrings combined has to equal 60 or more, thus we use the greater than or equal to sign.

Now we have [tex]x>10[/tex], where x is still the number of bracelets sold. She said she will sell more than 10, which means we will just have [tex]>10[/tex]. If she said she wanted to sell at least 10, then it would be [tex]\geq10[/tex].

Therefore the system of inequalities is:

[tex]2x+3y\geq60\\x>10[/tex]

Hope this helps!

Answer:

the possible prediction of getting a purple or blue is 2 out of 6

Step-by-step explanation:

(hope this helps can i plz have brainlist :D hehe)

[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]

[tex]D)\frac{5}{6}\;is \: your \: answer[/tex]

Answer:

5/6

Step-by-step explanation:

I had this question and it was correct.

Answer:

No solution

Step-by-step explanation:

When we take the 5/2 x to the other side, 4x and 4x cancels out. We get 7=0 which is incorrect. Therefore, x has no solution.

By the way, can you follow me on Brainly?

Thanks!

Answer:

x= [tex]\frac{7 (+-) \sqrt{113} }{8}[/tex]

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You need a value that keeps 79% of the previous value. 79% is 0.79 as a decimal.

You get that by taking 100% of the value and subtracting 21% of the value. Said easier (100% x - 21%x = 79% of x.

r = 0.79

Answer:

If so, order of operation is coming into play

PEMDAS

P is the parenthesis and E is the exponent..... looks we got a 2 for 1 special solve.

(1/2)4

First

The exponent is 4 which means write

1/2

4 times

1 × 1 × 1 × 1 = 1

2 × 2 × 2 × 2 = 16

So our fraction is 1/16

10 - 1/16 - 48

now we have M D which is multiplication and division what is

1/16 - 48

now we just have 10 - 3

We don't have A ( addition ) so skip it

We do have S ( subtraction )

10 - 3 = 7.

Answer:

x = 8

Step-by-step explanation:

16 is the same as 2^4

(2^4)³ = 2^3/2x

2^12 = 2^3/2x

as long as bases are both the same then set exponents equal

12 = [tex]\frac{3}{2}[/tex]x

3x = 24

x = 8

Answer:

d

Step-by-step explanation:

d is correct 180-43=137

Answer:

D) m<4 = 137

Step-by-step explanation:

m<3 + 56  = 180

m<3 = 124

m<1 + 43 + 56 = 180

m<1 + 99 = 180

m<1 = 81

m<4 + 43 = 180

m<4 = 137

m<2 + <1 = 180

m<2 + 81 = 180

m<2 = 99

Answer:

d = st,

Step-by-step explanation:

Distance= speed times rate

Answer:

What is the molarity of this solution is 0.81

Step-by-step explanation:

Answer option B) 0.81.

Answer:

b

Step-by-step explanation:

Answer:

Least to greatest: 2, 3, 1

Step-by-step explanation:

Square root of 8 over 2 is about 1.41 which makes it the least value

2 is obviously equal to 2 which puts it in the middle

Square root of 7 is about 2.64 which makes it the greatest value

Answer:

24,150

Step-by-step explanation:

7% of 345,000 = 24,150

Answer:

Step-by-step explanation:

It can be anything according to your value added tax.

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

Explanation:

We start with one block at the very left side. This is algebraically written as [tex]a_1 = 1[/tex]. The small subscript '1' means we're dealing with the first term, and that is set equal to 1. In other words, the first term is 1.

The second term is three since we have three blocks as the next figure down the line. So [tex]a_2 = 3[/tex]. We can then see that [tex]a_3 = 6[/tex] and [tex]a_4 = 10[/tex]

The sequence of the first four terms are: 1, 3, 6, 10.

The notation [tex]a_n = a_{n-1} + n[/tex] tells us "to get the nth term [tex]a_n[/tex], we add the previous term ([tex]a_{n-1}[/tex]) to the value of n".

For example, if we wanted the third term, we would add the second term a2 onto the value of n = 2. In order to know a2, we need the diagram or you would have to use the recursive formula to find it.

Furthermore, it means that to find the fifth term [tex]a_5[/tex], we do the following

[tex]a_n = a_{n-1} + n\\\\a_5 = a_{5-1} + 5\\\\a_5 = a_{4} + 5\\\\a_5 = 10+5\\\\a_5 = 15[/tex]

The fifth figure will have 15 small little blocks to it. You can draw this out by copying the fourth figure, and then adding 5 smaller blocks to the very bottom portion. The sixth figure is basically a copy of the fifth one, but we have six little blocks along the bottom. This is the "plus n" being applied in the recursive formula.

So the 6th figure will have 15+6 = 21 blocks in total while the 7th figure has 21+7 = 28 blocks. This points us to choice (3).

Side note: These are known as triangular numbers. Note how the gaps between consecutive values of 1,3,6,10,15,21,28 is +2,+3,+4,+5,+6,+7.

Answer:

4

Step-by-step explanation:

Plug in each given value into the expression to see if it is true.

Set given: {2 , 3  , 4}

Equation given: x + 2 = 6

First, plug in 2 for x. When x = 2:

x + 2 = 6

(2) + 2 = 6

4 ≠ 6.

Next, plug in 3 for x. When x = 3:

x + 2 = 6

(3) + 2 =6

5 ≠ 6.

Finally, plug in 4 for x. When x = 4:

x + 2 = 6

(4) + 2 = 6

6 = 6 (True).

In the given set, only 4 complete the equation.

~

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Step-by-step explanation:

Answer:

135.6

i think

Step-by-step explanation:

Emi evaluated (46 - 78)² as -(32)². The variance of the given data is 274. Therefore, option C is the correct answer.

Given that, the population data set is 87, 46, 90, 78, and 89.

Here, mean = [tex]\bar x[/tex] =78 and n=5

We know that, mean [tex]\bar x=\frac{\sum x_i}{n}[/tex] and variance = [tex]\sigma^2=\frac{\sum (x_i-\bar x)^2}{n}[/tex].

Here, σ² = [(87-78)²+(46-78)²+(90-78)²+(78-78)²+(89-78)²]/5

= (9²+(-32)²+12²+0²+11²)/5

= (81+1024+144+121)/5

= 1370/5

= 274

So, the variance is 274.

Therefore, option C is the correct answer.

Learn more about the variance here:

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Answer: £1.32

Step-by-step explanation:

Amy buys 23 envelopes and each of them cost 16p.

1p makes a pound so 16 pence is £0.16.

23 envelopes would cost:

= 0.16 * 23

= £3.68

Her change in Pounds would be:

= 5 - 3.68

= £1.32

Answer:

-4x+8=42

-4x+8-8=42-8

-4x=34

-4x/-4=34/-4

x = -8.5

Answer:  127.795 in^2

Step-by-step explanation:

The area of any triangle is [tex]\frac{1}{2} \cdot \text{base} \cdot \text{height}[/tex][tex]\frac{1}{2} \cdot \text{base} \cdot \text{height}[/tex]

The surface of this pyramid is composed of three slanted triangles and the base.

Area of slanted sides (3 of them):

The base of each is 6.1 -- the sides of the bottom triangle all have the same length.  The height of a slanted side is 12.2 .

Area of one slanted side is .5(6.1)(12.2) = 37.21

There are 3 identical sides, so the area of all 3 is 3 x 37.21 = 111.63 .

Area of the pyramid's base:

The base of that triangle is 6.1, and its height is 5.3, so its area is

.5(6.1)(5.3) = 16.165

The total area of all four faces is 111.63 + 16.165 = 127.795

Answer:

-9/2

Step-by-step explanation:

-2x-5 = 4

    +5   +5

-2x = 9

------  ------

-2    -2

x = -9/2

Answer:

[tex]x = - \frac{9}{2} [/tex]

Step-by-step explanation:

1) Add 5 to both sides.

[tex] - 2x = 4 + 5[/tex]

2) Simplify 4 + 5 to 9.

[tex] - 2x = 9[/tex]

3) Divide both sides by -2 to get the answer.

[tex]x = - \frac{9}{2} [/tex]

hence, the answer is x = -9/2.

Answer:

#3 is 40

#4 is 90

Step-by-step explanation:

Answer:

80.65% per minute

Step-by-step explanation:

For continous growth :

A = Pe^rt

A = amount after time, t

P = initial amount

r = growth rate

22583 = 4500 * e^r*2

22583 = 4500 * e^2r

22583 / 4500 = e^2r

5.0184444 = e^2r

Take the In of both sides

1.61312 = 2r

r = 1.61312 ÷ 2

r = 0.80656

0.80656 * 100% = 80.65%

Answer:

C

Step-by-step explanation:

At first glance, it seems like all the answers work. But some careful thinking allows us to find the correct answer.

For this question, we will be using the process of elimination.

First, we can eliminate D, because it does not provide any angles on line d, so we cannot prove that line c is parallel to line d.

Second, we can eliminate A. It seems that the 2 angles makes it so that lines c and d must be parallel, however, that is only true if lines a and b are parallel. Since we don't know whether or not lines a and b are parallel, we cannot prove that lines c and d are parallel, so we can eliminate this choice.

Third, we can eliminate B. Like the diagram in A, this diagram can only prove lines c and d are parallel if lines a and b are parallel, and since we don't know whether or not lines a and b are parallel, we cannot prove tat lines c and d are parallel, so we can eliminate this choice.

We are left with C, so the answer must be C.

Of course, just to make sure, we will also check diagram C. Because the 2 angles provided in the diagram are on line a and none are on line b, we do not need line a to be related to line b in any way, as such we can pretend that line b does not exist in this diagram. We can then see that lines c and d must be parallel for this diagram, or else the angles would not work, so C is correct.

Two angles whose sum is 180° are called supplementary angles. The correct option is C.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

When two parallel lines are cut by a transverse. The angles formed on the exterior of the parallel lines are known as the Exterior Angle.

Now, For two lines two be parallel in the given diagram the measure of the angle the exterior angle on the same side of the transverse should be supplementary to each other.

The diagram shows a pair of angle measure that proves lines c and d are parallel in option c. This is because lines c and d are parallel and a is transversal to the two lines. And the measure of the exterior angles formed on the same side of the transversal is supplementary.

Hence, the correct option is C.

Learn more about Supplementary angle here:

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Answer:

x=1.125

Step-by-step explanation:

Isolate the variable by evalaluting

Answer:

1.125

Step-by-step explanation:

subtract 1.25

2x = 2.25

divide by 2

x = 1.125