match the monomer to the correct macromolecule
​

Answer:

a) -7/9

b) 16 / (n² + 15n + 56)

c) 1

Step-by-step explanation:

When n = 1, there is only one term in the series, so a₁ = s₁.

a₁ = (1 − 8) / (1 + 8)

a₁ = -7/9

The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.

sₙ = sₙ₋₁ + aₙ

(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ

(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ

aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)

If you wish, you can simplify by finding the common denominator.

aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]

aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)

aₙ = 16 / (n² + 15n + 56)

The infinite sum is:

∑₁°° aₙ = lim(n→∞) sₙ

∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)

∑₁°° aₙ = 1

Answer:

9 nickels .   7 dimes

Step-by-step explanation:

i take the same class so i know where u got it from

Answer:

the first green one. yes

Step-by-step explanation:

it looks the clostest to yours

Answer:c

Step-by-step explanation:

The measures of the angles in triangle ABC are; m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

It follows that the right angle is between the two shorter sides;

On this note, the angle, m∠A is opposite side BC;

Therefore, from sine formula;

m∠A ≈ 73.7°

And from sum of angles in a triangle;

m∠A ≈ 16.3°

Read more on right triangle;

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Answer:

27

Step-by-step explanation:

The area of the triangle is 30.9 square units.

We have,

From the figure,

Height = Distance between (-2, 6) and (-2, 0).

Base = Distance between (-2, 0) and (7, -5).

To find the distance between two points in a Cartesian coordinate system, use the distance formula:

Distance = [tex]\sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]

Height:

Distance = √((-2 - (-2))² + (0 - 6)²)

Distance = √(0² + (-6)²)

Distance = √(0 + 36)

Distance = √36

Distance = 6

Base:

Distance = √((7 - (-2))² + (-5 - 0)²)

Distance = √((7 + 2)² + (-5)²)

Distance = √(9² + (-5)²)

Distance = √(81 + 25)

Distance = √106

Distance ≈ 10.3

Now,

The area of the triangle.

= 1/2 x base x height

= 1/2 x 10.3 x 6

= 10.3 x 3

= 30.9 square units

Thus,

The area of the triangle is 30.9 square units.

Learn more about triangles here:

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Answer:

400

Step-by-step explanation:

brainliest is appreiated

Answer: x=10

Step-by-step explanation:

5x+3=53 subtract 3 from 3 and 53

5x=50 divide both sides by 5

50/5=10

now lets check to be sure

5*10=50+3=53

the solution is correct

hoped this help =)

Answer:

The second one for both a and b.

Step-by-step explanation:

The first cereal box is:

8•3•11=264 inches cubed

the second cereal box is:

10•10•3=300 inches cubed

a. The box that holds more cereal would be the second one, since it has more volume.

b. The box that requires more material to make is the second one, since the it is bigger in volume, therefore, bigger in length and width.

Answer:

Supplementary

Step-by-step explanation:

84 plus 96 equals 180 degrees

supplementary angles are angles that add up to 180 so their relationship is supplementary

Answer:

*The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles

*The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal.

*The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal

Step-by-step explanation:

The transversal is the major road that crosses the other two roads shown in the diagram above.

Applying the knowledge of properties of lines, let's consider each statement given, to ascertain which is true and which is untrue:

Statement 1: 'The Fire Station and the Worship Center lie on the same side of the transversal and form a linear pair."

The fire station and the Worship center are on the same side of the transversal, however, they do not form a linear pair. They are corresponding angles.

Statement is NOT TRUE.

Statement 2: "The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles."

This statement is TRUE.

The Museum and the Coffee shop form alternate exterior angles pair.

Statement 3: "The Bank, the Museum, the Coffee Shop, the Worship Center are interior angles."

This is NOT TRUE.

They are all EXTERIOR angles.

Statement 4: "The Day Care and the Park are on the same side of the transversal and form a linear pair."

This is NOT TRUE.

They are consecutive interior angles.

Statement 5: "The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal."

This is TRUE.

Statement 6: "The Bank and the Community Center are on opposite sides of the transversal and form a pair of alternate interior angles"

This is NOT TRUE.

They are on opposite side of the transversal but one the bank is an exterior angle while the community center is an interior angle.

Statement 7: "The Park and the Museum are adjacent angles and form a vertical pair of angles."

This is NOT TRUE.

They do not share the same side, so they can't be adjacent angles. They only share the same vertex, which makes them vertical angles.

Statement 8: "The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal."

This is TRUE.

Answer:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

Step-by-step explanation:

In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.

Assume that the significance level of the test is, α = 0.05.

The hypothesis can be defined as follows:  

H₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. p = 0.50.  

Hₐ: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. p > 0.50.  

The information provided is:

[tex]n = 510\\\hat p=0.53[/tex]

Compute the test statistic value as follows:

 [tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

    [tex]=\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{510}}}\\\\=1.354991\\\\\approx 1.35[/tex]

The test statistic value is 1.35.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

 [tex]p-value=P(Z>1.35)[/tex]

                 [tex]=1-P(Z<1.35)\\=1-0.91149\\=0.08851\\\approx0.088[/tex]

p-value = 0.088 > α = 0.05.

The null hypothesis will not be rejected at 5% significance level.

Thus, there is not enough evidence to support the claim.

Conclusion:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

Answer:

-56.9034

Step-by-step explanation:

Kadyn took 8 rest stops.

Step-by-step explanation:

22 x 8 = 176

Answer: The answer is 8

Answer:

x=2

Step-by-step explanation:

hope it helps

please mark as Brainliest

Answer:

x = 2

Step-by-step explanation:

For me it's easier to work with decimals than fractions, so I converted 3/4 to .75

.75(x + 18) = 15

.75x + 13.5 = 15  

That was just distributing the .75 but here is where it gets a bit confusing.

.75x + 13.5 = 15

       -13.5     -13.5

.75x = 1.5

Divide both sides by .75 to isolate the variable.

x = 2

Hope that helps and have a great day!

Answer:

2x + 1

Step-by-step explanation:

Answer:

The expression simplifies to [tex]2x+1[/tex]

Step-by-step explanation:

To divide the polynomials, we must first factor the trinomial into binomials so we can easily divide it by the binomial.  Factoring [tex]2x^2-5x-3[/tex] results in the expression [tex](x-3)(2x+1)[/tex].  Since these two values are multiplied, the [tex](x-3)[/tex] can be canceled out by the divisor, which is the exact same expression.  This leaves us with our final answer: [tex]2x+1[/tex].

Answer:

131.14

Step-by-step explanation:

Hope this helps!! Good luck!!

Answer:

131.14

Step-by-step explanation:

2.34 + 128.8 = 131.14

Answer:

I have no clue sorry

Step-by-step explanation:

sorrytroublechevkers

Answer:

the difference is 24.323 seconds, if you round the numbers and then subtract the difference is 24 seconds

Answer:

put your first point at 7 in y axis that point go down 3 to the rights side 1 and your point should be at (1,4) then connect the dots and that's how you graph it

Step-by-step explanation:

The equation of the line y = - 3x + 7 is drawn below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The equation of the line is given below.

y = -3x + 7

Convert the line into intercepts form, then we have

y = - 3x + 7

3x + y = 7

x / (7/3) + y / 7 = 1

The equation of the line is drawn below.

More about the linear equation link is given below.

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Answer:

12x - 12

Step-by-step explanation:

-2(x  + 6)

open the parenthesis

-2 * x + -2 * 6

-2x - 12

-2x - 12

Answer:

7 orange and black fish

Step-by-step explanation:

a fifth of the remaining fish is 7 because you are doing 35*1/5. 35 is the remaining number of fish because already half of the other fish is 35 and they are orange

Using shifting concepts, it is found that function g is given by:

[tex]g(x) = \frac{x^2 - 4x - 12}{4}[/tex]

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

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

The parent function is:

[tex]f(x) = x^2[/tex]

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

Horizontally stretching by a factor of 2.

[tex]f(\frac{x}{2}) = (\frac{x}{2})^2 = \frac{x^2}{4}[/tex]

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

Shifting left 2 units:

[tex]f(\frac{(x-2)}{2}) = \frac{(x - 2)^2}{4} = \frac{x^2 - 4x + 4}{4}[/tex]

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

Shifting down 4 units:

[tex]g(x) = f(\frac{(x-2)}{2}) - 4 = \frac{x^2 - 4x + 4}{4} - 4 = \frac{x^2 - 4x + 4}{4} - \frac{16}{4} = \frac{x^2 - 4x - 12}{4}[/tex]

A similar problem is given at https://brainly.com/question/24465194

Answer:

0.06

Step-by-step explanation:

6% = 0.06

0.06  as a decimal Hope this helped!

Answer:

15.51

Step-by-step explanation:

Answer: A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.

Step-by-step explanation:

Given the data :

Class: _______ relative frequency

0−<5 __________ 0.179

5−<10 __________ 0.168

10−<15 _________ 0.174

15−<20 _________ 0.135

20−<30 _________0.193

30−<40 _________ 0.071

40−<60 _________ 0.051

60−<90 _________ 0.029

Evaluating the proportion of sampled angles less than 15°. This consist of the following classes :

Class: ________frequency

0−<5 __________ 0.179

5−<10 __________ 0.168

10−<15 _________ 0.174

Summing up the relative frequency values :

(0.179 + 0.168 + 0.174) = 0.521

0.521 * 100% = 52.1%

Hence, more than 50% of the sampled angles are smaller than 15°

Answer:

more info please!!!

Step-by-step explanation:

Answer:

oof give me your points

Step-by-step explanation:

Answer:

6h

Step-by-step explanation:

If he drove 72 mph and you know how long he drove, just need to divide:

[tex]Distance / Speed = Time[/tex]

Therefore:

[tex]432 / 72mph = 6h[/tex]

Answer:

hi its just like the dood above me said *dude sorry if i was late

Step-by-step explanation: