1) Simplify the following expressions: a) sin²108° + sin² 18° ​

Answers

Answer 1

Note that

108° = 90° + 18°

so

sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)

Then

sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1

by the Pythagorean identity.

Answer 2

The value of the expression sin²(108°) + sin² (18°) ​will be 0.9986.

What is a expression? What is a mathematical equation? What is Equation Modelling? What are trigonometric functions?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. Trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. The six - trigonometric functions are -

sinecosinetangentcosecseccotangent

We have the following trigonometric equation -

sin²(108°) + sin² (18°) ​

We have the following expression -

sin²(108°) + sin² (18°) ​

(0.95)² + (0.31)²

0.9025 + 0.0961

0.9986

Therefore, the value of the expression sin²(108°) + sin² (18°) ​will be 0.9986.

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Related Questions

What is the approximate area of the shaded sector in the circle shown below

A.29.04 in^2

B.13.51 in^2

C.7.26 in^2

D.6.75^2

Answers

Answer:

please provide the diagram

Step-by-step explanation:

for the solution figure is necessary so provides us to solve this problem

Complete the point-slope equation of the line through (-4, 8) and (4, 4).
Use exact numbers.
y-4=

Answers

Answer:

y-4=-1/2(x-4)

Step-by-step explanation:

point slope form: y-y1=m(x-x1)

every time x increases by 8, y decreases by 4. slope can be found by rise/run. the slope is -4/8 which is -1/2, which means m=-1/2. in the given equation, it said y-4. It plugged in 4 for y1, meaning it was talking about the second given point, which was (4,4). plug in 4 for x and you get y-4=-1/2(x-4)

Bob has saved $535 each month for the last 3 years to make a down payment on a house. The account earned an interest rate of .34 percent per month. How much money is in Bob's account?

Answers

Answer:

The account has $18,795.02.

Step-by-step explanation:

The account has $18,795.02.

3 years * $535 = $1,605

$1,605 * .0034 = $5.481

$5.481 * 36 (months) = $197.146

$18,795.02 = $1,605 + $197.146

x² +5-x when x = 5

Jamaymaykgajwnammagmaganhsnagm

Answers

Answer:

25

Step-by-step explanation:

you first solve for the expontes. 5 to the power of 2 is 25 plus 5 is 30. subtract 5 from that and we're back at 25

Answer:

25

Step-by-step explanation:

When we plug in 5 for x, we get 25+5-5=25.

what is the mid point of 3,2 and -3,4?

Answers

Answer

(0,3)

Step-by-step explanation:

from mid point (x+x)/2, (y+y)/2((3+-3)/2,(2+4)/2)(0/2, 6/2)(0, 3)

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.8 years, and standard deviation of 0.7 years.

If you randomly purchase one item, what is the probability it will last longer than 6 years?

Round answer to three decimal places

Answers

The probability of 6 years or more, so we want the complement,

1 - 0.98533 = 0.01467                        1.467% chance, not very likely.

What is Z-score?

A z score is a type of statistical measurement that gives an idea of how far a raw score is from the mean of a distribution. A z score is used in a z test for hypothesis testing.

Here, Because you are looking for the mean of a group of 7.8, the standard deviation will shrink by a factor of √6

Old standard deviation = 0.7,

new standard deviation = 0.7/√6 = 0.64254

You need to find a z-score and then convert your z-score to a probability.

z-score = (your score - average)/ std dev

z-score = (7.8 - 6)/0.64254

z-score = 2.1789

To convert a z-score either look it up on a table or use a calculator.

But z-tables are designed to shade to the left, which means this is the probability that the mean life is 6 years or less. We want the probability of 6 years or more, so we want the complement, 1 - 0.98533 = 0.01467

1.467% chance, not very likely.

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Please help!!! I will give 20 points to the correct answer !! Thanks so much

Answers

The values will be 10 and -6

Algebra 2 urgent I need help quickkk 20 points !!!

Answers

Answer:

(-3, -13)

(-1, -7)

(1, -1)

(3, 5)

(5, 11)

Step-by-step explanation:

Plug x into the equation y = 3x - 4 for each value of x to obtain the y value.

For example:

y = 3(3) - 4

y = 9 - 4

y = 5

2. Mike is looking to purchase a Ford Explorer, which has a sticker price of $32,415. He's able to negotiate $3,000
off sticker price, and the tax rate is 6.5%. License and title fees are $395. If he trades in his minivan for $9,000
(deducted from the negotiated price before taxes), the monthly payment will be $500.95 for 60 months. He is
also offered a lease with $2,900 down and payments of $429 for 36 months.
a) How much will Mike pay total if he chooses the lease option?
b) How much more will he pay in the first three years if he chooses to buy instead?
c) How much interest will he pay if he buys?
d) Which option would you choose? Explain.
3. Maya bought a new Ford Focus for $17,400. She made a down payment of $4,000 and made monthly payments
of $396 for three years. Find the APR.

Answers

Answer:

.wfhytrsssssssssd

Step-by-step explanation:

dddddddddddddddddd

Pepperidge Farm Goldfish is a snack food for which 40% of it's calories come from fat. Rold Gold Pretzels receive 9% of their calories from fat. How many grams of each would be needed to make 620 g of a snack mix for which 15% of the calories are from fat?​

Answers

Let x = grams of goldfish
the
620-x = grams of roll gold
.
.40x + .09(620-x) = .15(620)
.40x + 55.8 - .09x = 93
.40x + 55.8 - .09x = 93
.31x + 55.8 = 93
.31x = 37.2
x = 120 grams of goldfish
.
roll gold:
620-x = 620-120 = 500 grams of roll gold


five percent of a batch of fuel was found faullty if 27 fuses were faulty how many were inspected the price of internet service is decreased by 7% to 52.00 what is the original price

Answers

There are 540 fuses in total and the original price of the internet is $55.91

How to work with percentages?

a) We know that 5% of the fuses are faulty, and there are 27 faulty fusses, then we can write:

5% = 27

100% = x

We want to find x, to do that, we can write:

x = 27*(100%/5%) = 27*20 = 540

There are 540 fuses in total.

b) Now we know that the original price is P, and when we decrease it by 7%, then new price is $52.00

Then we can write:

$52.00 = P*(1 - 7%/100%)

$52.00 = P*(0.93)

$52.00/0.93 = P = $55.91

The original price is $55.91

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20
Find the standard deviation of
the given data rounded to the
nearest hundredth.
12, 53, 141, 219, 500
Σ (x-mean)2
n
0 =
σ= [?]

Answers

The standard deviation of the data to the nearest hundredth is 173.01.

What is standard deviation?

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.

In order to determine the standard deviation, take the following steps:

Determine the mean of the observation: 185

Determine the difference between each value and the mean and then square the result:

Determine the mean of the sum of the squared differences and then find the square root of the mean:

Following these steps, the standard deviation is 173.01

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Instructions: Match each equations with correct type of event.
P(A) · P(BA)
P(A) + P(B)
PA and B)
P(A)
P(A) · P(B)
P(A) + P(B) - P(A and B)

Answers

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

P(A)P(B|A) - Dependent event P(A)+P(B) - Mutually exclusive events P(A and B)/P(A) - Conditional events P(A) . P(B) - Independent Events P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

[tex]\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}[/tex]

Hence the correct match are -

[tex]\mathrm{P(A)P(B|A)\rightarrow}[/tex] Dependent event [tex]\mathrm{P(A)+P(B)}\rightarrow[/tex] Mutually exclusive events [tex]\mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow}[/tex] Conditional events [tex]\mathrm{P(A) . P(B)\rightarrow}[/tex] Independent Events [tex]\mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow}[/tex] not Mutually exclusive events.

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the exppreson of 10x^2-7

Answers

The complete question is :

Question: What is the coefficient in the expression 10x²-7?

The coefficient in the expression [tex]10x^{2} -7[/tex] is 10

What is Coefficient?

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

According to the question,

The expression given is [tex]10x^{2} -7[/tex]

The variable given is x

We need to find the coefficient in the expression.

In the given expression x is the variable and the number before the x is coefficient which is 10 .

Hence the coefficient in the expression is 10.

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Can you conclude that this parallelogram is a rectangle ? Explain. No;the diagonals do not bisect two angles of the parallelogram. No;the diagonals may not be congruent. Yes; the diagonals are perpendicular

Answers

The answer to the question on Parallelograms being rectangles is that; No; the diagonals may not be congruent

How to Identify the properties of a Parallelogram?

1) We cannot conclude that the parallelogram is a rectangle but we can say that all rectangles are parallelograms.

2) The explanation for number 1 above is that the parallelogram's diagonals may not be equal or congruent but in rectangles diagonals are always equal and bisect each other.

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《QUESTION 1》
The length of the side of a square is 50 cm and the breadth of a rectangle is 25 cm. If the areas of the square and the rectangle are equal, find the length of the rectangle.

《QUESTION 2》
A wire is in the shape of a rectangle with length 6 cm. It is bent to form a square whose side is 5 cm. Find the breadth of the rectangle. Also, calculate the areas of both the rectangle and the square and find which shape encloses more areas.​

Answers

The length of the rectangle is 100cm.

The breadth of the rectangle is 4cm.

The square encloses more area than the rectangle.

What is the length of the rectangle?

The first step is to determine the area of the square.

Area of a square = length² = 50² = 2500 cm²

Area of a rectangle = length x width

length = area / width

2500 / 25 = 100cm

What is the breadth of the rectangle?

The first step is to determine the perimeter of the square.

Perimeter = 4 x length

4 x 5 = 20cm

Perimeter of a rectangle = 2(length + width)

breadth = (perimeter / 2) - length

(20 / 2) - 6

10 - 6 = 4cm

Area of the square = 5 x 5 = 25

Area of the rectangle = 6 x 4 = 24

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Urgent!!!

Use the Law of Sines to find all missing sides and angles of the following triangle (side b, side
c, and angle C). Approximate your answers to the nearest tenths. a = 35.0 km, A = 13.0°, B =
65.3°

Answers

Answer:

A = 13 degrees

B = 65.3 degrees

C = 180 - (13 + 65.3) = 101.7 degrees

Side a = 35 km

Side b = 141.4 km

Side c = 152.4 km

Tìm số dư trong phép chia 3^{2020} chia cho 13

Answers

Your question translates to computing [tex]3^{2020} \pmod {13}[/tex].

Recall Euler's theorem: if [tex]\gcd(a,n)=1[/tex] (that is, [tex]a[/tex] and [tex]n[/tex] are relatively prime), then [tex]a^{\varphi(n)}\equiv1\pmod n[/tex], where [tex]\varphi(n)[/tex] denotes Euler's totient function, which counts the number of positive integers relatively prime to [tex]n[/tex].

Since 13 is prime, we have [tex]\phi(13)=12[/tex]. Then by Euler's theorem,

[tex]3^{12} \equiv 1 \pmod{13}[/tex]

Now, observe that 2020 = 168×12 + 4, so that

[tex]3^{2020} \equiv 3^{168\times12+4} \equiv \left(3^{12}\right)^{168} \times 3^4 \equiv 1^{168} \times 3^4 \equiv 3^4 \pmod{13}[/tex]

and since 3⁴ = 81 = 6×13 + 3, we end up with

[tex]3^{2020} \equiv 81 \equiv 3 \pmod{13}[/tex]

so the remainder upon dividing 3²⁰²⁰ by 13 is 3.

The graphs below have the same shapes. What is the equation for the red graph?

Answers

The equation for the red graph will be g(x) = x² + 3.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function.

The function f(x) is given below.

f(x) = x²

Then the function g(x) will be given as

g(x) = x² + 3

Then the equation for the red graph will be g(x) = x² + 3.

The missing graph is given below.

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If 13 metres of a uniform iron rod weights 23.4 kg then what will be the weight of 6 metres of the same rod?​

Answers

Answer:

Solution:

Here,

[tex]\begin{array}{ | c| c c | } \hline\ \ \text{length \: of \: iron \: rod}& \text{weight} \\ \hline 13 \rm{m}& \rm{23.4kg} \\ \hline \rm{6m}&?\\ \hline\end{array}[/tex]

Weight of 13 m of rod=23.4 kg

Weight of 1 m of rod=23.4/13 kg

[less length,less weight]

Weight of 6 m of rod=23.4/13 ×6 kg=10.8 kg

[more length,more weight]

Thus,the weight of 6 m of rod is 10.8 kg.

Alternative method:

Let,the required weight be x kg.

Then,

[tex]\begin{array}{ | c| c c | } \hline\ \ \text{length \: of \: iron \: rod}& \text{weight} \\ \hline \rm{13m}& \rm{23.4 \: kg }\\ \hline \rm{6m}& \rm{x =? } \\ \hline\end{array}[/tex]

We know that,

More length of iron rod([tex]\red{\uparrow}[/tex]) will have the more weight([tex]\red{\uparrow}[/tex]).

So,using the rule of direct proportion;

i.e. Ratio of length=Ratio of weight

[tex] \displaystyle{ \frac{13}{6} = \rm\frac{23.4}{x} }[/tex]

[tex] \rm{13x = 6 \times 23.4}[/tex]

[tex] \rm{x = \displaystyle{ \frac{6 \times 23.4}{13} }}[/tex]

[tex] \therefore{x = 10.8}[/tex]

Thus,the weight of 6 m long iron rod is 10.8 kg.

Expand:
4(5x+5) - 3(2x + 4)

Answers

Answer:

14x + 8

Explanation:

⇒ 4(5x+5) - 3(2x + 4)

distribute inside parenthesis

⇒ 4(5x) + 4(5) - 3(2x) - 3(4)

multiply the variables

⇒ 20x + 20 - 6x - 12

collect like terms

⇒ 20x - 6x + 20 - 12

subtract like term

⇒ 14x + 8

4 x 5x = 20x

4 x 5. = 20

-3 x 2x = - 6x

-3 x 4 = - 12

Line them up, collect like terms & simplify

20x + 20 - 6x - 12

20x - 6x = 14x

20 - 12 = 8

Thus, answer is 14x + 8

Hope this helps!

Support her statements using scale factors of 5 and 6.






Reflection: Marissa wants to describe the relationship between the scale factor and perimeter of an image and its pre-image and between the scale factor and area of an image and its pre-image. What should she say about the relationship between the scale factor and perimeter of an image and its pre-image? What should she say about the relationship between the scale factor and area of an image and its pre-image? Support her statements using scale factors of 5 and 6.

Answers

Answer:

The relationship between the scale factor and perimeter of an image and its pre-image is a, b = perimeter = 2a + 2b. the relationship between the scale factor and area of an image and its pre-image is k∧2 (ab).

Step-by-step explanation:

Relationship between the scale factor and perimeter of an image and its pre-image.

Scale factor = k

Pre-image lengths: a, b = perimeter = 2a + 2b

Image lengths: ka, kb = perimeter = 2ka + 2 kb = k (2a + 2b) = 2 * preimage perimeter.

She has to say that the perimeter of the image is the perimeter of the preimage times the same scale factor.

What should she say about the relationship between the scale factor and area of an image and its pre-image?

area of the pre-image = ab

are of the image = (ka)(kb) = k^2 (ab)

The area of the image is the area of the preimage times the square of the scale factor.

Support her statements using scale factors of 5 and 6.

Scale factor 5

length of the pre-image = 3 x 4 = perimeter = 2 (3 + 4) = 2(7) = 14

length of the image = 3*5 x 4*5 = 15 x 20 = perimeter = 2 (15 + 20) = 2 (35) = 70

14 * 5 = 70 which shows the prediction

area of the pre-image = 3 * 4 = 12

area of the image = 15 * 20 = 300

12 * (5^2) = 12*25 = 300 which is the value predicted.

Now you can do the same using scale factor 6.

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You observe a plane approaching overhead and assume that its speed is 700 miles per hour. The angle of elevation of the plane is 15° at one time and 59° one minute later. Approximate the altitude of the plane. (Round your answer to two decimal places.)

Answers

Answer:

3 miles

2.73 miles=3 miles


What is the rule for the reflection?
rx-axis (x, y) - (-x, y)
ry-axis (x, y) (-x, y)
rx-axis (x, y) - (x, y)
ry-axis (x, y) (x, −y)

Answers

When reflected over ry-axis (x, y) (-x, y) , rx-axis (x, y) (x,-y) , Option A and D is the correct answer.

What is rule for the reflection ?

The rule for reflection is when an object or a coordinate point is reflected over x axis then the coordinate of the x axis remains the same while the y coordinate changes to be additive inverse.

Vice Versa happens when reflected over y axis.

So,

rx-axis (x, y) - (-x, y) --> (x,-y)

ry-axis (x, y) (-x, y)

Therefore Option A and D is the correct answer.

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Answer: its A not A & D

Step-by-step explanation:

6. Find the surface area of the cylinder pictured. Use 3.14 for pi.
6 m
8m
A: 904.3 square meters
B: 527.5 square meters
C: 301.4 square meters
D. 226.1 square meters

Answers

Answer:

given - a cylinder

height = 8m

radius = 6m

To find - surface area

Solution -

Surface area of the cylinder = 2 Pie r h

= 2* 3.14 * 6 * 8

= 6.28 * 48

= 301.4 sq meters

Find the x-intercept of the line whose equation is 8x + 2y = 4.

Answers

Answer: Hope this helps you

1/2

Step-by-step explanation:

To find the x-int of any equation, you will need to replace the y with a 0 since when the x-int is when y is 0.

8x+2y = 4 ➨ 8x+2*0 = 4

Now I will do 2*0 which anything times 0 is equal to 0. And we are left with the equation of:

8x = 4

Now I will divide both sides by 8, which isolates our x.

x = 1/2

The x-int is 1/2.

*Need Help*Match each rational expression to its simplest form.

Answers

the first expression goes into m - 1
the second expression is m - 2 / m
and the last expression goes m - 2 / m - 1

An avid traveler is investigating whether travel websites differ in their pricing. She chooses a random sample of 32 hotel rooms from across the state and notes the price of each room from site A and site B. The mean difference (site A – site B) in the prices for the rooms is $5.49 with a standard deviation of $18.65.

Assuming the conditions for inference have been met, is there evidence that the prices of hotel rooms from site A and site B are different, on average? Use a significance level of a = 0.05.

A. Because the P-value is less than α, there is evidence that the prices of hotel rooms from site A and site B are different, on average.

B. Because the P-value is greater than α, there is evidence that the prices of hotel rooms from site A and site B are different, on average.

C. Because the P-value is less than α, there is not sufficient evidence that the prices of hotel rooms from site A and site B are different, on average.

D. Because the P-value is greater than α, there is not sufficient evidence that the prices of hotel rooms from site A and site B are different, on average.

Answers

The answer is D beachside trust

Please help and fast for brainliest

The graph shows the number of gallons of white paint that were mixed with gallons of green paint in various different ratios:

Draw the graph on a grid. The title is Mixing Paint. The horizontal axis label is Green Paint in gallons. The scale is 0 to 24 in increments of 3. The vertical axis label is White Paint in gallons. The scale is 0 to 72 in increments of 9. Plot points at the ordered pairs 3,9 and 6,18 and 9,27.

The number of gallons of white paint mixed with 1 gallon of green paint is ______.

Answers

Answer:

3 gallons

Step-by-step explanation:

For every value of green ( 'x') ....white is 3 times as much

  for 1 gallon green     ====> 3 gallons white

Identify how the two trianiges are congruent. Fill in the blank below the triangles with SSS, SAS, ASA, AAS, or HL. If the two triangles are not
congruent, type not congruent.
A4X4
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Question 2 (1 point)

Answers

Answer:

Blank 1 = SAS

Blank 2 = HL

Black 3 = ASA

Blank 4 = SSS

SAS - when two corresponding sides and one corresponding angles are equal HL - in a right angle triangle when corresponding hypotenuse and length are equal ASA - when 2 corresponding angles and one corresponding side are equal when all the sides of triangle is equal to other.
Other Questions
What caused the British to divide India as part of its independence? 5. (02.01 LC)Look at the image, and then choose the option to complete the sentence with the correct informal t command. (2 points)_______ el bal del carro.A. O AbraB. Abras C. abre D. abres Two friends, Vani and Shaquana, took summer jobs. The equation y=28.8xy=28.8x represents Vani's earnings in dollars and cents, yy, for working xx hours. Shaquana earned $653.40 in 33 hours.How much less per hour does Shaquana earn than Vani? Preservation of Habitats - Everglades NP, FL. North of the park border, if developers or farmers drain and utilize this land, what will happen to the source of water for the Everglades, and therefore to the ecosystem of the Everglades Doubling the dimensions of a rectangle increases the area by a factor of 4.If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are true? Select two options. What if Macbeth never met the witches? a 42 year old woman presents with a painful, 3cm paraovarian cyst located in her broad ligament. ultrasonography reveals the cyst to be adjacent to the utetine tube, and laparoscopic surgery is scheduled. during surgery a small incision is made in the anterior abdominal wall and the scope is inserted into hee peritoneal cavity. what part of the broad ligament would most likely be incised to reach the tumor? provide an explanation The cost of 5kg of rice is Rs.425. find the cost of 1kg of rice When 50.5 g iron(III) oxide reacts with carbon monoxide, 32.2 g iron is produced. What is the percent yield of the reaction?Fe2O3(s)+3CO(g)2Fe(s)+3CO2(g) How is Mr. Hollembeak demonstrating appropriate behavior for participating in this discussion? Select three options. Jose began the day with eight Magikarps. After spending the day at the lake, he ended up with sixteen Magikarps.Find the Percent of increasethats all she wrote Yes Or No what would be the correct answer? What effects did being an island nation have on Japan? The monetary arrangements made at bretton woods resulted in what type of exchange rates assigned to member nations currencies? Read the passage from chapter 7 of Animal Farm.Which details best support the idea that the farm is aAs Clover looked down the hillside her eyes filled withsymbol for Russia under the rule of the Communisttears. If she could have spoken her thoughts, it wouldParty? Select two options.have been to say that this was not what they hadaimed at when they had set themselves years ago toO 'as Clover looked down the hillside"*work for the overthrow of the human race. TheseO these scenes of terror and slaughter*scenes of terror and slaughter were not what they hadlooked forward to on that night when old Major firstO "if she herself had had any picture of the future*stirred them to rebellion. If she herself had had anypicture of the future, it had been of a society of animalsD'had protected the lost brood of ducklings*set free from hunger and the whip, all equal, eachO 'come to a time when no one dared speak his mind"working according to his capacity, the strongprotecting the weak, as she had protected the lostbrood of ducklings with her foreleg on the night ofMajor's speech. Instead-she did not know why-theyhad come to a time when no one dared speak hismind, when fierce, growling dogs roamed everywhere,and when you had to watch your comrades torn to what should be done to protect forest ? which is included in the care of a newborn infant whose mother has had untreated syphilis since the second trimester of pregnancy The function f(x) is shown on the graph. On a coordinate plane, a curved line shaped like a w, labeled f of x, crosses the x-axis at (negative 2, 0), (negative 1, 0), crosses the y-axis at (0, 12), and crosses the x-axis at (2, 0) and (3, 0).What is f(0)? dsfghjmbhjghcvjkjjbhvgjjbkjguy8uygiyugykfgjhgghgjk Adding deductive reasoning to traditional database management system (dbms) functions is a benefit of integrating an expert system into the database component of a(n) _____ system