Find an equation for the nth term of the arithmetic sequence.
a19 = -58, a21 = -164 (2 points)


an = 896 - 53(n - 2)
an = 896 - 53(n - 1)
an = 896 + 53(n + 1)
an = 896 - 53(n + 1)

Answer:

4 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The additive inverse is the value that must be added to the number to give zero.

- 4 [tex]\frac{1}{4}[/tex] + 4 [tex]\frac{1}{4}[/tex] = 0

           ↑ additive inverse

Answer:

59 degrees  is the answerr

Step-by-step explanation:

Answer:

Both cultures will have the same population after 11 hours.

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for population growth is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

A culture of 100 bacteria grows at a continuous rate of 20%.

This means that [tex]P(0) = 100, r = 0.2[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P_{1}(t) = 100(1+0.2)^t[/tex]

[tex]P_{1}(t) = 100(1.2)^t[/tex]

The other culture starts to hours later, and we want to take that time as a parameter. So

[tex]P_{1}(2) = 100(1.2)^2 = 144[/tex]

Which means that when culture 2 growth starts, the population size of culture 1 is described by the following equation:

[tex]P_{1}(t) = 144(1.2)^t[/tex]

Two hours later 60 of the same type of bacteria are placed in a culture that allows a 30% growth rate.

This means that [tex]P(0) = 60, r = 0.3[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P_{2}(t) = 60(1+0.3)^t[/tex]

[tex]P_{2}(t) = 60(1.3)^t[/tex]

After how many hours do both cultures have the same population?

This is t for which:

[tex]P_{1}(t) = P_{2}(t)[/tex]

So

[tex]144(1.2)^t = 60(1.3)^t[/tex]

[tex]\frac{(1.3)^t}{(1.2)^t} = \frac{144}{60}[/tex]

[tex](\frac{1.3}{1.2})^t = \frac{144}{60}[/tex]

[tex]\log{(\frac{1.3}{1.2})^t} = \log{\frac{144}{60}}[/tex]

[tex]t\log{\frac{1.3}{1.2}} = \log{\frac{144}{60}}[/tex]

[tex]t = \frac{\log{\frac{144}{60}}}{\log{\frac{1.3}{1.2}}}[/tex]

[tex]t = 11[/tex]

Both cultures will have the same population after 11 hours.

Answer:

lateral area = pi x radius x slant height

slant height = 40^2 + 30^2 = 1600 + 900= [tex]\sqrt{2500}[/tex] = 50

3.14 x 30 x 50 = 4710m^3

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

Answer:

A profit is money you make, as opposed to money you lose.

Step-by-step explanation:

Step-by-step explanation:

Profit is the amount of money made minus the expenses. It's the amount pocketed.

It's like if you sell something for $100 and it cost $90 to make, you made a $10 profit.

Answer:

6 bghyjy UC Houston post Getty photo Getty hide and the new Yorker

Answer:

Her final average now is 68.

Step-by-step explanation:

In order to find the grade average, you have to multiply each item for its percentage and add the results. Since the statement indicates that the final is 20% of the grade and she forgot to do it, that means that she got 0 for that 20%. Also, we can say that the average she has of 85 represents 80% of her grade and you have to multiply the average for the percentage:

85*0.8= 68

According to this, the answer is that her final average now is 68.

Answer:

7/12 < 2/3 < 17/24 < 3/4

Step-by-step explanation:

least to greatest

Answer:

opposite angle of trapezoid is supplementary

<Z+<X=180°

<X=180°-72°

<x=108°

is your answer

The required value of the measure of the angle x is 108°. Option A is correct.

The following image is a trapezoid. if XW is congruent to YZ and measure of m = 72 degrees. calculate the measure of X is to be determined.

The angle can be defined as the one line inclined over another line.

A trapezoid is defined as a quadrilateral with one couple of opposite sides parallel. the sum of the opposite angles is 180. Only one pair of opposite sides should be parallel not all the sides if all sides are parallel then the shape became a rectangle or rhombus.

Since the sum of the opposite angles in trapezoids is 180°
so,
x + 72° = 180°
x = 180° - 72°
x = 108°

Thus, the required value of the measure of the angle x is 108°.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ2

Answer:

hope this helps you.......

Step-by-step explanation:

sorry for the bad picture

hope it helps you

have a good day

Answer: It’s UNBIASED!

Step-by-step explanation:

Answer:

when two people answer ur question, a crown will appear.

Step-by-step explanation:

Answer:

give meaning full answers

Answer:

5 out of 6, or 83%

Step-by-step explanation:

There are 6 sides and since it will not land on 3.  It will be [tex]\frac{5}{6}[/tex] which equals 83%

Answer: I got this answer from the internet hopefully this helps

Resultant force will act on 65° N of W.

Step-by-step explanation:

The direction of the resulting force upon the piling, to the nearest degree is gotten as; A = 60°

As given in the question one bulldozer exerts force of 1850 pounds in western direction and another pushes with a force of 3250 pounds in northern direction.

Now, we have to find angle A which is an angle between 1850 pounds of force and resultant force F.

Thus;

tan A= Force on North direction/ Force on west direction

tan A = 3250/1850

tan A = 1.7568

A = tan⁻¹1.7568

A = 60.35°

To the nearest degree is A = 60°

Read more about resultant force direction at; https://brainly.com/question/14626208

Answer:

10.53

Step-by-step explanation:

Given :

Height of building = 17m

John's eye level = 2 m

Total height (including eye level) = 17+2 = 19m

Angle of depression, θ = 61°

Let distance between John's friend and building = d

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 61° = 19 / d

1.8040477 = 19 / d

d = 19 / 1.8040477

d = 10.53

Answer:

C. sides of 3, 4 and 7

can't form a triangle.

the longest side (7) must be shorter than the sum of the other 2 sides.

Step-by-step explanation:

Answer:A.

Step-by-step explanation:

add the numbers together

23.8 + 12.1 + -17.6+ 31.3 = 49.6

then divide by number of numbers(4)

49.6/4=12.4

Answer:

B.

Step-by-step explanation:

Answer:

2.4 pounds

Step-by-step explanation:

19.2 pounds÷ 8 bags= 2.4 pounds per bag

Answer:

69

Step-by-step explanation:

Answer:

Step-by-step explanation:

Incomplete question!

But here are some "multiples of 30 degrees:"

60, 90, 120, 180, 150, and so on.  Start with "30 degrees" and multiply that by various positive integers:  2, 3, 4, 6, 5, and so on, to obtain "multiples of 30 degrees."

Answer: 470 inches squared.

Step-by-step explanation: (15x8 + 15x5 + 8x5) x 2 = 470 inches squared

Answer:

100%

Step-by-step explanation:

Answer:

1.52

Step-by-step explanation:

took the test hope this helped

Answer:

1.52

Step-by-step explanation:

Answer:

(5y+3) x (y-2)

Step-by-step explanation:

5y^2-7y-6

5y^2+3y-10y-6

y(5y+3(-2(5y+3)

(5y+3) x (y-2)

Answer:

D. y=1/2x-5

Step-by-step explanation:

Lines which are parallel have the same gradient

Answer:

25 degrees

Step-by-step explanation:

Haha, awesome! Just did a problem like this!

All angles add up to 180, so set it up like this:

2x + 1 + 5x + 5 + 90 = 18

Combine like terms.

7x + 96 = 180

7x = 84

x = 12

Plug x back into 2x + 1

2(12) + 1

24 + 1

= 25 degrees

While we're at it...

5(12) + 5

60 + 5

= 65 degrees (for the other angle)

25 + 65 + 90 = 180

Math checks out & we're good to go!

Hope this helped. :) <3

Answer:

P=a+b+c. To find the area of a triangle, we need to know its base and height. ... Name. Choose a variable to represent it. Let x= the measure of the angle. Step 4.

Step-by-step explanation: