Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

Instructions: Find The Value Of The Trigonometric Ratio. Make Sure To Simplify The Fraction If Needed.

Answers

Answer 1

Answer:

9/41

Step-by-step explanation:

Cosine represents adjacent / hypotenuse.

When A is the reference angle, AB is the adjacent side (9) and AC is the hypotenuse (41).

9/41 is already simplified.


Related Questions

Which intervals show f(x) decreasing? Check all that apply.

Answers

The intervals which represents those in which case the function, f(x) is reducing are as follows; [–2.5, –2], [–2, –1.5], [1.5, 2], [2, 2.5].

Which intervals naming the answer choices show the function f(x) decreasing?

It follows from the complete task content that the x-intervals between which the function value of f(x) is reducing are to be identified from the graph as attached.

On this note, by observation on the graph, it follows that from between the interval; [–2.5, –2], the function f(x) is decreasing.

Also, between the interval; [–2, –1.5], the function f(x) is decreasing.

Also, between the interval; [1.5, 2], the function f(x) is decreasing.

Also, between the interval; [2, 2.5], the function f(x) is decreasing.

Remark: The answer choices are as follows; [–2.5, –2] [–2, –1.5] [–1, 1] [1.5, 2] [2, 2.5) [2.5, 3]

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Find the total surface area of the square pyramid in the figure.
each base side is 8 yds, vertex to centr of base is 3 yds, vertex to center of one side of base is 5 yds. 9Cannot send picture, only link)

Answers

The total surface area of the square pyramid (SA) = 144 yd².

What is a Square Pyramid?

A square pyramid is a solid shape that has a square base and four rectangular lateral faces.

How to Find the Total Surface Area of a Square Pyramid?

The total surface area of a square pyramid is the sum of the area of its square base and four rectangular lateral faces. To find the total surface area, the following formula is used:

Total surface area of a square pyramid (SA) = A + 1/2(Pl), where:

Area of base = APerimeter of base = PSlant height of pyramid = l

Given the following:

Area of base (A) = 8² = 64 yd²

Perimeter of base (P) = 4(8) = 32 yds

Slant height of pyramid (l) = 5 yds

Plug in the values

Total surface area of a square pyramid (SA) = 64 + 1/2(32)(5)

Total surface area of a square pyramid (SA) = 64 + 80

Total surface area of a square pyramid (SA) = 144 yd².

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Compare -2 and 5. Which of the following is true?

1-21 > 151 and -2>5

1-21=151 and -2<5

1-21<151 and -2<5

1-21 > 151 and -2<5

Answers

Answer:

1-21>151 and -2>5

I think so.

Please ASAP I WILL GIVE 30 POINTS IF THE CORRECT ANSWER, ALSO BRAINLEST AND 5 STARS ON YOUR ANSWER, PLEASE AND THANK YOU ASAP

Answers

Solution:

Formula for the circumference of a circle is

[tex]c = \pi \: d[/tex]

where c is the circumference, and d is the diameter.

When diameter is 27-in, then

[tex]c1 = \pi \times 27[/tex]

When diameter is 25-in, then

[tex]c2 = \pi \times 25[/tex]

.: 27π-in 25π-in is the farther distance.

Finding the difference, we have:

2π 6.28

.: 6.28-in is our final answer.

I hope this helps

The net of a cylinder has two parts.
True False

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The net of a cylinder has a rectangle for the lateral area and 2 circles for the bases, so it has 3 parts.

Answer: False

4. In a scale-drawing blueprint of a house, 1/4of an inch represents 1 foot. If a room in the house has
dimensions of 16.5 feet by 14 feet, what are that room's dimensions on the blueprint?

5. Henrietta and Dolores take a road trip to the beach. Henrietta drives from their hometown to the
beach, a distance of 252 miles, in 9 hours. Dolores drives the same distance on the trip back, but her
speed is 2 miles per hour faster than Henrietta's speed was. How long does it take Dolores to drive
back home?

Answers

Answer:

4. 4.125 inches by 3.5 inches.

5. 8.4 hours.

Step-by-step explanation:

4. multiply 16.5 and 14 by .25 because each foot in the house is .25 of an inch on the paper.

5. 252 miles / 9 hours = 28 mph. Add 2 so you get 30 mph. 252 miles / 30 mph = 8.4 hours.

19. Two hikers are wandering through heavy woods with walkie talkies. The walkie talkies have a range c
100 yards. From their starting point, they head off at an angle of 109°10' of each other. Hiker 1 walks 0.24
miles per hour, hiker 2 walks 0.17 miles per hour. If each continues to go straight, how long will it be before
they can no longer communicate?

Answers

The computation shows that the time before

they can no longer communicate will be 10 minutes

How to illustrate the information?

From the information, it was stated that two hikerd are wandering through heavy woods with walkie talkies and that the walkie talkies have a range c of 100 yards.

It should be noted that after t hours, the distance between the hikers will be:

d² = (0.24t)² + (0.17t)² - 2(0.24t)(0.17t) cos 109.10°

d = 0.0568

Therefore, we will find the time when d = 0.0568. This will give a time of 10 minutes.

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Potenciación audita amigos

Answers

Answer: 4096.

Step-by-step explanation:

[tex](8^3)^8\div(8^4)^5=\\8^{3*8}\div8^{4*5}=\\8^{24}\div8^{20}=\\8^{24-20}=\\8^4=\\4096.[/tex]

Poisson distribution
Given that Y ~ Po(4.5)
Find y such that P(Y=y) is the greatest, for y = 0,1,2....
Ans is 4 but i dont know the steps

Answers

The answer is y=4 because P(Y=4) is the greatest probability than y being a different integer. This can be verified by using the calculator which will show that P(Y=4) = 0.1898 and this is greater than P(Y=3) which is 0.1687 or P(Y=5) which is 0.1708. Hope this helps.

- What is the area of the figure below? Use 3.14
for T.
7 cm
22 cm
18 cm

Answers

Answer: [tex]\Large\boxed{Total~area=586.17~cm^2}[/tex]

Step-by-step explanation:

PART I: Find the area of the triangle

Given information

[tex]Height=7~cm[/tex]

[tex]Base=18~cm[/tex]

Given formula

[tex]A=b\times h\times\dfrac{1}{2}[/tex]

[tex]A=Area\\b=base\\h=height\\[/tex]

Substitute values into the formula

[tex]A=(7)\times (18)\times\dfrac{1}{2}[/tex]

Simplify by multiplication

[tex]A=(7)\times 9[/tex]

[tex]A=63~cm^2[/tex]

PART II: Find the area of the rectangle

Given information

[tex]Height = 18~cm[/tex]

[tex]Base=22~cm[/tex]

Given formula

[tex]A=b\times h[/tex]

[tex]A=Area\\b=base\\h=height\\[/tex]

Substitute values into the formula

[tex]A=(22)\times (18)[/tex]

Simplify by multiplication

[tex]A=396~cm^2[/tex]

PART III: Find the area of the half-circle

Given information

Diameter = 18 cm

Given formula

[tex]A=(\dfrac{d}{2} )^2\times \pi \div2[/tex]

[tex]A=Area\\d=diameter[/tex]

Substitute values into the formula

[tex]A=(\dfrac{18}{2} )^2\times (3.14) \div2[/tex]

Simplify the fraction

[tex]A=(9 )^2\times (3.14) \div2[/tex]

Simplify the exponents

[tex]A=81\times (3.14) \div2[/tex]

Simplify by multiplication

[tex]A=254.34\div2[/tex]

Simplify by division

[tex]A=127.17~cm^2[/tex]

PART IV: Find the total area

Given formula

[tex]Total~area=Triangle+Rectangle+circle~(half)[/tex]

Substitute values into the formula

[tex]Total~area=(63)+(396)+(127.17)[/tex]

Simplify by addition

[tex]Total~area=459+(127.17)[/tex]

[tex]\Large\boxed{Total~area=586.17~cm^2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

solve math problem plsss LOTS OF POINTS

Answers

The solution to 0.5^(x + 2) > 9 is x  > -5.170

How to solve the inequality expression?

The inequality expression is given as:

0.5^(x + 2) > 9

Take the logarithm of both sides of the inequality expression

log(0.5^(x + 2)) > log(9)

Rewrite the inequality expression as

(x + 2)log(0.5) > log(9)

Divide both sides by log(0.5)

x + 2 > -3.170

Subtract 2 from both sides

x  > -5.170

Hence, the solution to 0.5^(x + 2) > 9 is x  > -5.170

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graph the equation by translating y=|x-1|
i need help like super fast-

Answers

Answer:

Graph b

Step-by-step explanation:

y = |x| is a "v"at x = 0

y = |x-1| is a "v" shifted to the right by 1 unit

For a population with = 100 and = 20, what is the x value corresponding to z = 1. 50?

Answers

The x value or observed value corresponding to  z-score, z = 1.50 is 130.

According to the question.

For a population with µ = 100 and σ = 20.

Since,  we know that

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

And it is given by

z = (x - μ) / σ

Where,

x is the observed value.

μ is the mean.

and, σ is the standard deviation.

Therefore, the x value or observed value corresponding to z = 1.50 is given by

[tex]1.50 = \frac{x -100}{20}[/tex]

⇒ 1.50 × 20 = x - 100

⇒ 30 = x - 100

⇒ x = 30 + 100

⇒ x = 130

Hence, the x value or observed value corresponding to  z-score, z = 1.50 is 130.

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complete the remainder of the table for the given function rule.

Answers

Answer:

following the (x,y) coordinate system,

(0,4) ; (1,1) ; (2,-2)

Step-by-step explanation:

youre given the value of the x variable in the table, so all you need to do is substitute x and follow pedmas!! hope this helps<3

What is the slope of the line represented by the equation y = x-3?
O-3
های د

Answers

Answer:

1

Step-by-step explanation:

The slope of a function is equal to the coefficient of x when the equation is in standard form (y=mx+c)

In this case the equation is already in standard form and thusly we can see that the coefficient of x is 1 (the constant has no effect on the slope)

help if u can! don't answer if u don't know please

Answers

By using the digits 0 to 9, the boxes are filled with their respective numerical values to make the chart accurate as shown in the image attached below.

What is a function?

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.

The types of function.

In Mathematics, there are different types of functions and these include the following;

Periodic functionInverse functionModulus functionSignum functionPiece-wise defined function.Logarithm function

What is a logarithm function?

A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:

y = logₐₓ

y = log₁₀10

y = log₁₀10 = 1.  

Therefore, if log₁₀x < 1, then, x < 10.  Also, if log₁₀x > 1, then, x > 10.

For this exercise, you should take note of this deductive points:

The upper left number can't be smaller than 1 but its log must be the smallest. Thus, if the exponent equals 0, the red box can assume any number.The fractions in the lower left and upper right should be as large as possible with their denominators being small while their numerators are large.

In conclusion, by using the digits 0 to 9, the boxes are filled with their respective numerical values to make the chart accurate as shown in the image attached below.

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Given the line segment CD = 30 cm and a point E on directed line segment CD that partitions CD into the ratio 4 to 1, find the lengths of line segments CE and ED.CE = 6 cm, ED = 24 cm

CE = 25 cm, ED = 5 cm

CE = 24 cm, ED = 6 cm

CE = 5 cm, ED = 25 cm

Answers

we can simply take the whole amount of 30 and divide it by (4 + 1), then distribute to each side accordingly, since they're in a 4 to 1 ratio.

[tex]\underset{\hspace{5em}4~\hfill to~\hfill 1\qquad }{\stackrel{\text{\LARGE 30}}{C\rule[0.35em]{18em}{0.25pt}E\rule[0.35em]{10em}{0.25pt}D}} \\\\\\ \stackrel{CE}{4\left( \frac{30}{4+1} \right)} ~~ : ~~ \stackrel{ED}{1\left( \frac{30}{4+1} \right)}\implies \stackrel{CE}{4\left( 6 \right)} ~~ : ~~ \stackrel{ED}{1\left( 6 \right)}\implies \stackrel{CE}{\text{\LARGE 24}} ~~ : ~~ \stackrel{ED}{\text{\LARGE 6}}[/tex]

Troy travels 100 miles in 2 hours. Find the unit rate of speed by filling in the missing number.

100 miles/ 2hours = ? miles/ 1 hour = ? miles/hour

Answers

Answer:

  50 miles/1 hour = 50 miles/hour

Step-by-step explanation:

The fraction is reduced by dividing numerator and denominator by their common factor of 2.

  100 miles / (2 hours) = 50 miles/ (1 hour) = 50 miles/hour

What is the next term in the geometric sequence below?
3, -6, 12, -24, __, ...

A. 36
B. -48
C. -36
D. 48

Answers

Answer:

48

Step-by-step explanation:

48 because you are multiplying it by -2 each time. -24 x -2 = 48

Leo is 23 years old and works for a company that matches his 401(k) contribution up to 4.6%. the interest rate for his 401(k) is 5.32%. if he puts away 8% of his $65,000 salary every year, how much would he have saved in 10 years? round your answer to the nearest cent. a. $7110,127.51 b. $104,564.67 c. $65,582.40 d. $62,269.66

Answers

The amount saved in 10 years is = $1,04,461.13

The correct option is B.

Future:

An annuity is a series of payments that are distributed evenly over time.

One way to express the future value of an annuity of payment P for n years is,

Total salary is $65000

The interest rate is 5.32%

Trent save 8%  of his salary every year.

Company puts  4.6% of salary every year.

[tex]\text { Future Value }=\mathrm{P} \times \frac{\left(1+\frac{i}{n}\right)^{n t}}{\frac{i}{n}}[/tex]

Given:

Total salary is $65000

The interest rate is 5.32%

Trent save 8% of his salary every year.

Company puts  4.6%of salary every year.

The 8% of salary is calculated as:

[tex]\text { Amount } &=\frac{8}{100} \times 65000\\[/tex]

               [tex]&=\$ 5200[/tex]

The following information is available on the company's put:

[tex]\text { Amount } &=\frac{4.6}{100} \times 65000\\[/tex]

                [tex]&=\$ 2990[/tex]

Total amount as follows:

[tex]\begin{aligned}\text { Amount } &=5200+2990 \\&=\$ 8190\end{aligned}[/tex]

The future value can be obtained as follows

[tex]\begin{aligned}\mathrm{FV} &=8190 \times \frac{(1+0.053)^{10}-1}{0.053} \\&=8190 \times 12.75 \\&=1,04,461.13\ \\\end{aligned}[/tex]

Hence, the amount saved in 10 years is = $1,04,461.13

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Which of the graphs below would result if you made the leading term of the following function negative?


F(x) = 5x³ + x-8


A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer: D

Step-by-step explanation:

If the leading coefficient is negative, then as [tex]x \to \infty[/tex], [tex]f(x) \to -\infty[/tex].

Eliminate A and B.

If the leading coefficient is negative, then as [tex]x \to -\infty[/tex], [tex]f(x) \to \infty[/tex].

Eliminate C.

This leaves D as the correct answer.

The data set represents the total number of pencils each student in a class needs to sharpen. 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9 which box plot correctly represents the data?

Answers

D box plot correctly represents the data

What is Box plot?

A box plot or boxplot is a technique for illustratively displaying the localization, dispersion, and skewness groups of numerical data through their quartiles.

Using a five-number summary (the minimum, first quartile (Q1), median, third quartile (Q3), and "maximum"), a boxplot is a common method of visualizing data distribution.

According to the given information:

The median value for the provided data will be the sixth data point's value, or 3.

The median of the data's lower half is now the first quartile. The third data point's value of 1 will therefore be in the lower quartile.

The median of the data's upper half is now referred to as the upper or third quartile. This means that the value of the ninth data point, which is 6, will represent the upper quartile.

Thus, box-plot D effectively displays the data from above.

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Answer:

The answer is D.

Edg 2023.

PLEASE HELP ASAP, I WILL GIVE 40 POINTS IF THE RIGHT ANSWER, AND BRAINLEST, ASAP

Answers

Answer:

5/52

Step-by-step explanation:

There are 52 cards in a deck, with 26 red and 26 black cards. There are 2 red ones, 2 black threes, and 1 six of hearts. The # of favorable outcomes is 2 + 2 + 1 = 5, so the answer is 5/52.

Solve the given initial-value problem. d2x dt2 2x = f0 sin t, x(0) = 0, x '(0) = 0

Answers

The initial-value is  x(t)=F0/2w^2 (sin wt-wt cos wt)

An initial-value hassle is a differential equation wherein is an open set of, together with a point within the domain called the initial situation. A technique to an initial cost hassle is a function that is a technique to the differential equation and satisfies.

Inside the discipline of differential equations, preliminary cost trouble (additionally called Cauchy trouble by using a few authors) is a normal differential equation collectively with a detailed fee, called the preliminary situation, of the unknown function at a given factor in the domain of the solution.

In multivariable calculus, an initial-value hassle is a normal differential equation collectively with a preliminary circumstance that specifies the fee of the unknown characteristic at a given factor in the area. Modeling a system in physics or different sciences often amounts to fixing an initial cost problem.

Consider a differential equation x+x=F, sin wt, x(0) = 0,X(0) = 0

Apply Laplace transformation on both sides, and we get

(s²L{x(t)}-sy(0)-y'(0)) + w²L {x(t)} =·

Fow

Fow

(s² + w² ) { x(t)} = 3 + w²

L{x(t)}=

Fow

(5²+w²)²

x(t)=FwL

[(s² + w²)²]

Fow

x(t)=(sin wt-wt coswt)

2w

x(t)=

Fo

wtcos

2w (sin wt-wt cos wt),

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Jonathan uploaded some original songs and also some pictures. alissa uploaded four times as many songs, but only uploaded twice as many pictures. jonathan uploaded 11 items while alissa uploaded 24. how many songs did jonathan upload? (1 point) 1 4 6 10

Answers

X is the number of songs and Y the number of pics

our 2 equations will be - X+y=11 & 4x+2y=24

consider x=11-y

Lets replace x in 2:

=4(11-y) +2y=24

=44-4y+2y=24

=44-24= 4y-2y

=20= 2y

=Y=20/2

=Y=10

Lets replace y in 1

=X+10=11

=X=11-10

=X=1

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Quick algebra 1 question for 10 points!

Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

Answers

Answer:

2, x - 2, x + 4

Step-by-step explanation:

The factors of the given quadratic expression, 2x² - 4x - 16, are 2, (x +2), and (x -4)

Factoring a Quadratic expression

From the question, we are to determine the each of the factors of the given quadratic expression

The given quadratic expression is

2x² - 4x - 16

Factoring

2x² - 4x - 16

First, factor out 2

That is,

2(x² - 2x - 8)

Now, we will factor x² - 2x - 8
x² - 2x - 8

x² - 4x + 2x - 8

x(x - 4) +2(x -4)

(x +2)(x -4)

Thus,

2x² - 4x - 16  = 2(x +2)(x -4)

Hence, the factors of the given quadratic expression, 2x² - 4x - 16, are 2, (x +2), and (x -4)

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Elsa went to Malacca with three friends. The total amount spent by them is RMx. If Elsa spent RM 145, and the amount spent by each of her three friends did not exceed RM 110 per person, which of the following cannot be the value of x.​

Answers

The total amount spent by Elsa and her friends must not exceed RM 475; 475 ≤ x

Inequality

Total amount spent = RMxAmount spent by Elsa = RM 145Amount spent by each of her three friends = RM 110

Elsa + 3(her friends) ≤ Total

145 + 3(110) ≤ x

145 + 330 < x

475 ≤ x

Therefore, the total amount spent by Elsa and her friends must not exceed RM 475; 475 ≤ x

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Quick algebra 1 question for 10 points!

Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

Answers

Answer:

A     [tex] \dfrac{2x^3}{3yw} [/tex]

Step-by-step explanation:

[tex] \dfrac{xy(24x^2y^3w)}{36y^5w^2} = [/tex]

[tex] = \dfrac{2 \times 12 x^3y^4w}{3 \times 12y^5w^2} [/tex]

[tex] = \dfrac{2x^3}{3yw} [/tex]

-10(1 - 9x) + 6(x - 10)
Pics pls

Answers

Answer:

[tex]\boxed{\sf{96x-70}}}[/tex]

Step-by-step explanation:

Use the distributive property.

What is a distributive property?

Distributive property is a serving to distribute or allot or disperse.

Distributive property:

A(B+C)=AB+AC

A(B-C)=AB-AC

-10(1-9x)+6(x-10)

Expand.

-10(1-9x)

-10*1=-10

-10*9x=90x

[tex]\longrightarrow \sf{=-10+90x+6\left(x-10\right)}}[/tex]

6(x-10)

6*x=6x

6*10=60

6x-60

Rewrite the problem down.

= -10+90x+6x-60

Combine like terms.

90x+6x-10-60

Add the numbers from left to right.

90x+6x=96x

96x-10-60

Finally, subtract the numbers from left to right.

-10-60=-70

[tex]\Longrightarrow \boxed{\sf{96x-70}}[/tex]

Therefore, the final answer is 96x-70.

I hope this helps, let me know if you have any questions.

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Distributive Property :

[tex]-10(1-9x)+6(x - 10)[/tex]

[tex]-10(-9x+1)+6(x - 10)[/tex]

[tex]90x-10+6x-60[/tex]

[tex]90x-70+6x[/tex]

[tex]96x-70[/tex]

[tex]answer : \boxed{\pink\star\tt{96x-70}}[/tex]

━━━━━━━━━━━━━━━━━━━━━━━━

Common factor :

[tex]- 10(1 - 9x) + 6(x - 10)[/tex]

[tex]96x - 70[/tex]

[tex]2(48x - 35)[/tex]

[tex] answer : \boxed{ \pink \star\tt{2(48x - 35)}}[/tex]

A pizza has a radius of 10 inches. A slice is removed. The length of the crust of the missing slice is 3 inches. What is the area of the missing slice?

Answers

The area of the missing slice is 15 inches ²

How to determine the area

From the information given, we can see that the pizza takes the form of a circle;

Area of the missing slice takes the shape of a triangle

Area of a triangle = 1/ 2 base × height

base = 10 inches

height = 3 inches

Area of missing slice = 1/ 2 × 10 × 3

Area = 1/ 2 × 30

Area = 15 inches ²

Thus, the area of the missing slice is 15 inches ²

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what is angle JLK?a. 23 degreesb. 24 degreesc. 67 degreesd. 134 degrees Find the area of this triangle. Round to the nearest tenth. ASAP HELP ME WITH THIS Help how do you do this Buying a home generally isn't desirable if you don't intend to stay in it for more than two or three years. a. true b. false One of the disadvatages of using historical returns to estimates the market risk premium is that the past may not be good guide to? Each stage of the vertical value chain typically represents a distinct ________ in which a number of different firms are competing. You are a co-passenger of the narrator and the girl in the train with your family. give a first person narrative in about 100-120 words where you and your family had a great time with them, understanding the difficulties of blind people. story writing Some viruses can undergo lysis or lysogeny within the same host. Under what conditions might the virus favor lysis instead of lysogeny?. Use the drawing tools to form the correct answer on the graph.Given the table of values, plot the corresponding points for the inverse of the function.X-1012f(x)1234 One word synonyms for "in conclusion" Scores on a test are normally distributed with a mean of 63 and a standard deviation of 9.3. Find P81, which separates the bottom 81% from the top 19%. Suppose you drop a feather and a hammer on the moon from the same height at the same time. what will happen? A company's balance sheet shows: cash $38,000, accounts receivable $24,000, office equipment $58,000, and accounts payable $25,000. What is the amount of owner's equity? In nature, all organisms are subject to natural selection. some scientists have theorized that we have stopped evolving because we can control our environment and reduce selective pressures. do you agree or disagree that humans have stopped evolving? why? CharCore mixes together wood chips and pine oil. After joint manufacturing costs of $2,000 have been incurred, the mixture separates into two products, granulated charcoal and methyl alcohol. At the split-off point, granulated charcoal can be sold for $5,000 and the alcohol can be sold for $9,000. The charcoal can be further processed at a cost of $6,000 to make air filters which could be sold for $15,000. The alcohol can be further processed at a cost of $7,000 to make a cleaning solvent which could be sold for $14,000. What is the net increase (decrease) in operating income from cleaning solvents? If f(x) = 5x, what is (x)? What are your greatest strengths? Explain three ways you can critically analyze sources to determine if they are scholarly Particulates can:_____.a. cause acid rain b. reduce photosynthesis c. cause lung and heart disease d. none of these