Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy. He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle. After two weeks he measured the circumference of each balloon in centimeters; the bigger the balloon grew, the more energy that was produced. The results of the experiment are displayed in the box plots below.

Which description most accurately summarizes the sample results?

Answer:

35 adult shirts were sold

Step-by-step explanation:

10y+15a=2375

y+a=220

y=220-a

10(220-a)+15a=2375

2200-10a+15a=2375

2200+5a=2375

5a=175

a=35

35 adult shirts were sold.

Answer:

$12

Step-by-step explanation:

u do 120 divided by 10 which gives u 12 which gives u per hours

hope this helps

Answer:

5, 7, 9

Step-by-step explanation:

Using the information given we get:

[tex]5x-7=2z[/tex]

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

[tex]5x-7=2(x+4)\\5x-7=2x+8\\[/tex]

Add 7 to both sides

[tex]5x=2x+15[/tex]

Subtract 2x from both sides

[tex]3x=15[/tex]

Divide both sides by 3

[tex]x=5[/tex]

Using these equations:

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

and

[tex]x=5[/tex]

We get:

[tex]x=5\\y=7\\z=9[/tex]

Answer:

C. 20

Step-by-step explanation:

105 + 9.5x = 14.75x

105 = 5.25x

20 = x

Answer: [tex]t=-\frac{1}{2}r- 1[/tex]

Step-by-step explanation:

For a lineal equation [tex]t=mr+n[/tex]

For r=0 and t=-1

[tex]-1=m(0)+n\\n=-1[/tex]

For r=-2 and t=0

[tex]0=m(-2)-1\\m(-2)=1\\m=-\frac{1}{2}[/tex]

Them [tex]t=-\frac{1}{2}r- 1[/tex]

???? The output for 6 is 1????

Answer:

0.24

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

or 130. let me know if I'm wrong

If the measure of arc AB is 50°, then the measure of its inscribed angle ACB is, 130°

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

The measure of arc AB = 50°

The measure of its inscribed angle ACB = ?

Here, ACBP will make a quadrilateral

And, the sum of opposite angles of quadrilateral is 180°

So, ∠ACB + ∠AB = 180°

⇒   ∠ACB = 180° - 50°

⇒   ∠ACB = 130°

Hence, the measure is 130°

To know more about angle check:

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Answer:

[tex]4.28 \times 10^{1}[/tex]

Step-by-step explanation:

[tex]42.8 \times 10^0=42.8[/tex]

[tex]4.28 \times 10^{1}=42.8[/tex]

Answer:

42.8 x 10^0

Step-by-step explanation:

A. Standard Form

Ax + By = C.

A, B, C are integers (positive or negative whole numbers)

No fractions nor decimals in standard form.

Traditionally the "Ax" term is positive.

Answer:

The slope is -3/1.

Step-by-step explanation:

Answer:

Just took it!

Step-by-step explanation:

The requried properties used: the elimination method, multiplication property of equality, subtraction property of equality, substitution property of equality, and addition property of equality.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

To justify the steps taken to solve the system {3x−2y=10, 4x−3y=14}, we need to identify the properties used. Here are the properties that justify each step:

Step 1: We can use the elimination method to solve this system. To eliminate the variable y, we can multiply the first equation by 3 and the second equation by 2 :
{9x - 6y = 30, 8x - 6y = 28}

Step 2: We can subtract the second equation from the first equation to eliminate y:
{9x - 8x = 2}
{x = 2}

Step 3: We can substitute x = 2 into one of the original equations to solve for y. Let's use the first equation:
{3(2) - 2y = 10}

Step 4: We can simplify and solve for y:
{6 - 2y = 10}
{-2y = 4}
{y = -2}

Therefore, the solution to the system is (x, y) = (2, -2).

Learn more about simultaneous equations here:

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The answer is 27y^9/x^3

if multiple choice the answer is 27x^6 y^9/x^9

Pictures so you can see

Answer:

[tex]=\frac{27y^9}{x^3}[/tex]

Step-by-step explanation:

[tex]\left(\frac{3x^2y^3}{x^3}\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{3x^2y^3}{x^3}\right)^3=\frac{\left(3x^2y^3\right)^3}{\left(x^3\right)^3}\\=\frac{\left(3x^2y^3\right)^3}{\left(x^3\right)^3}\\\mathrm{Simplify}\:\left(3x^2y^3\right)^3:\quad 27x^6y^9\\=\frac{27x^6y^9}{\left(x^3\right)^3}\\\mathrm{Simplify}\:\left(x^3\right)^3:\quad x^9\\=\frac{27x^6y^9}{x^9}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]

[tex]\frac{x^6}{x^9}=\frac{1}{x^{9-6}}\\\frac{x^6}{x^9}=\frac{1}{x^{9-6}}\\=\frac{27y^9}{x^{9-6}}\\\mathrm{Subtract\:the\:numbers:}\:9-6=3\\=\frac{27y^9}{x^3}[/tex]

Answer: Sin 23 = 2/5

Step-by-step explanation:

If cos 67 degrees is close to 2/5. That is, approximately,

Cos 67 = 2/5

Multiply the numerator and the denominator by 50

Cos 67 = 100/250

From trigonometry ratio,

Cos Ø = adjacent/hypothenus

Where the

Adjacent length = 100 cm

Hypothenus length = 250 cm

Po = opposite length = 100cm

If the degree = 23

The closest length will be

Sin Ø = Opposite/ hypothenus

Sin 23 = 100/250

Divide both the numerator and the denominator by 50

Sin 23 = 2/5

Answer:

40 cm

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

1/3 = 3 in 1

3(1) = 3

3 x 12 = 36

So 36 is correct

Answer:

I’m pretty sure you are correct.

Answer: multiplying both-side of the equation by 3 substituting 36 for p to check the solution

Step-by-step explanation: Help I help

Answer:

radius

Step-by-step explanation:

AJ is half the distance across the circle (radius).

Answer:

10,000

Step-by-step explanation:

3 years x 20% = 60%

60% of 25000 is 15000

25000 -15000 =  10,000

Answer:

Step-by-step explanation:

[tex]y^{4}\sqrt{16x^{8}y^{12}z^{4}}=y^{4}\sqrt{4*4*x^{4*2}y^{6*2}z^{2*2}}\\\\ =y^{4}\sqrt{4^{2}*(x^{4})^{2}*(y^{6})^{2}*(z^{2})^{2}}\\\\=y^{4}*4*x^{4}*y^{6}*z^{2}\\\\=4x^{4}y^{4+6}z^{2}\\\\\\=4x^{4}y^{10}z^{2}[/tex]

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

Here [tex]S_{8}[/tex] = 1530 and r = 2, thus

[tex]\frac{a_{1}(2^{8}-1) }{2-1}[/tex] = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

Answer:

50%

Step-by-step explanation:

Answer:

[tex]a=3[/tex] and the x-intercept of the inverse function is [tex]x=-2[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=\frac{x}{3}-2[/tex]

[tex]f^{-1}(x)=a(x+2)[/tex]

To find: slope, a, of the inverse function and the x-intercept of the inverse function

Solution:

Let [tex]y=f(x)=\frac{x}{3}-2[/tex]

[tex]y=\frac{x}{3} -2\\\frac{x}{3}=y+2\\x=3(y+2)\\[/tex]

So, [tex]f^{-1}(x)=3(x+2)[/tex]

On comparing [tex]f^{-1}(x)=a(x+2)[/tex] with [tex]f^{-1}(x)=3(x+2)[/tex], [tex]a=3[/tex]

To find the x-intercept of the inverse function, put [tex]f^{-1}(x)=0\Rightarrow 3(x+2)=0\Rightarrow x=-2[/tex]

The slope, a, of the inverse function is  3 , and the x-intercept of the inverse function is at x =  -2 .

Answer:

6. The relationship is they multiply the first box of glasses by the amount of boxes 15glasses = x 3,

30 glasses = x6

45 glasses = x 9

60 glasses = x 12

75 glasses = x15

= 30, 45, 60,75

But in between glass amount 45 +60 they show a midpoint amount of glasses in a box where 45 = 9n  then 55 = 11n and stands out as  11 boxes as an offset amount of glasses where 5 are in each box.

7. Robert is incorrect as 25 x 5 = 125 and not 120

as 120 and 125 glasses can be divided to check

125/25  = 5 and could be correct if he wanted spare glasses = 1 spare box.

But when we check 120/25 =  4.8 so this would be too many boxes as he would only need 24 boxes.

24 x 5 = 120 glasses.

Step-by-step explanation:

Answer:

(6, -5)  (Answer C)

Step-by-step explanation:

Multiply the first equation by 2.  We get the following equivalent system:

4x + 2y = 14

 x - 2y  = 16

------------------

  5x = 30, or x = 6.

Substituting 6 for x in the second equation, we get

6 - 2y = 16, or

  -  2y = 10, so that y = -5

and the solution is (6, -5)  (Answer C)

Answer:It should be 16.5 or 16 1/2.

Step-by-step explanation:

22•3/4

Answer:

9

Step-by-step explanation:

4x- 7

Let x=4

4*4 - 7

16 -7

9

Answer:

9

Step-by-step explanation:

4(4)-7=16-7=9

Answer:

-3 +7 > -10 - 2

Step-by-step explanation:

Given

-3 +7_-10 - 2

Required

Compare using any of the given inequality symbols

We start by solving both sides of the inequality

- 3 + 7 _  -10 -  2

(-3 + 7) _ (-10 - 2)

(4) _ (-12)

Having solved both sides of the inequality, it'll be observed that 4 (on the left hand side) is greater than -12 (on the right hand side);

Hence, the _ symbol can be replaced by the greater than symbol.

(4) _ (-12) can then be rewritten as

(4) > (-12) or

- 3 + 7 > -10 - 2

From the list of given options, option B is correct

Answer:

The odd that B draws an ace is 3/51 or 1/17

No, it is independent because they don't know if the card they draws is an ace or not. Because if B take the card first also it would be ace so it isn't dependent i think

sorry i did the best i could