7.
Find the missing lengths of the sides.

7.Find The Missing Lengths Of The Sides.

Answers

Answer 1

Answer:

[tex]a=9\ in\\b= 9\ in[/tex]

Step-by-step explanation:

This straight triangle has two angles equal to 45 ° and two equal sides.

We know that the side opposite the 90 degree angle is:

[tex]c =9\sqrt{2}\ in[/tex]

Since the triangle has two equal angles, then it is an iscoceles triangle.

This means that

[tex]a = b[/tex]

We use the Pythagorean theorem to find b

[tex]c^2 = a^2 + b^2\\\\c^2 = b^2 + b^2\\\\c^2 = 2b^2\\\\(9\sqrt{2})^2 =2b^2\\\\b^2=\frac{(9\sqrt{2})^2}{2}\\\\\sqrt{b^2}=\sqrt{\frac{(9\sqrt{2})^2}{2}}\\\\b=\frac{(9\sqrt{2})}{\sqrt{2}}\\\\b=a=9[/tex]


Related Questions

Megan has 25 phone numbers stored in her cell phone. Abby has some phone numbers stored in her cell phone. Together they have a total of 61 phone numbers stored. If n= the number of phone numbers Abby has stored in her cell phone, which mathematical sentence expresses the information above?

Answers

Answer:

61-25=n

Step-by-step explanation:

Give an example of a ratio that is not a rate. Tell why it is not a rate.
Give an example of a ratio that is also a rate. Tell why it is a rate.

Answers

Answer:

Ratio is it rate. Can you do the rate of numbers.

For example, if we say: If the car was very high to acceleration at least, 1,000 km/h.

If Usain Bolt was won on the Olympics, he has 27 km/h.

Hmm, the ratio isn't rate at all. This method can do the non rate. For example, if we say: If the gas price at BP, there's $100 per year.

Step-by-step explanation:

With this method, you must solve the ratio isn't rate.

For there's the group, this was what do you say, it's GCF, or greatest common factor. With this GCF method, for example: if we say, the European Parliament, and the MPs, are divided by gender, if we divide by male and female. For more examples, see the answer at the above with the picture

With this method of the rate, there are no of speed, price, or something else.

There are some examples like the km/h, representing the Kilometers per hour.

Hopefully with this helpful example

The beginners field hockey kit costs $150 it is $15 more than three times the cost of the basic kit. What is the cost of the basic kit

Answers

Answer:

45

it is what it is

The cost of basic hokey kit is $45.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, the beginners field hockey kit costs $150 it is $15 more than three times the cost of the basic kit.

Let the cost of the basic kit be x.

Now, 3x+15=150

3x=135

x=$45

Therefore, the cost of basic kit is $45.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ5

The ratio of students who walk home from school to the students who ride the bus home is 2 : 7. The number of bus riders is how many times the number of students who walk home?

Answers

Answer:

3.5

Step-by-step explanation:

7/2=3.5

Answer:

3.5

Step-by-step explanation:

Ratio of

those who walk : those who ride = 2 : 7

This means that for every 2 students who walk, there are 7 students who ride

Therefore, for every 1 student that walks, (hypothetically) there are 3.5  (7/2) students who ride

Then the number of bus riders is 3.5 times the number of students that walk.

How do you find the center and the radius for [tex]x^{2} +y^{2} =25[/tex]?

Answers

Answer:

The center is (0,0) and the radius is 5

Step-by-step explanation:

To find the center of a circle, you need to look at the equation

In this case this equation could be written as

[tex](x-0)^2+(y-0)^2=5^2[/tex]

The x value is x=0 for the center and the y values is y=0

The radius can be found by looking at the constant that is squared, so r=5

In the case of an equation like this

[tex](x-1)^2+(y+1)^2=3^2[/tex]

The center point would be (1,-1) and r=3

find the height of the skyscraper in feet, correct to two decimal places.

Answers

Answer:

264.49

Step-by-step explanation:

Look at the picture.

We must use the tangent.

[tex]tangent=\dfrac{opposite}{adjacent}[/tex]

We have:

[tex]opposite=h\\adjacent=1,500\ ft\\\\\tan10^o\approx0.1763[/tex]

Substitute:

[tex]\dfrac{h}{1,500\ ft}=0.1763[/tex]      multiply both sides by 1,500 ft

[tex]h=264.45\ ft\to h\approx264.49\ ft[/tex]

The graphs of two trigonometric functions, f(x) = 4 cos (0 - 90°) and g(x) = 2 cos (0 - 90°) + 1, are shown below. The two functions are added together to get a new function A(x). What is the maximum value of A(x)?


6

1

7

5

Answers

ANSWER

7

EXPLANATION

The given functions are:

[tex]f(x) = 4 \cos( \theta - 90) [/tex]

and

[tex]f(x) = 2 \cos( \theta - 90) + 1[/tex]

From the question,

[tex]A(x)=f(x)+g(x)[/tex]

[tex]A(x)=4 \cos( \theta - 90) + 2 \cos( \theta - 90) + 1[/tex]

This simplifies to:

[tex]A(x)=6\cos( \theta - 90) + 1[/tex]

The maximum value is 6+1=7

Dominique paints faces on annual carnival her goal this year is to earn $100 she spends $15 on supplies and we'll work for 2.5 hours how much will she need to earn in dollars per hour in order to reach your goal

Answers

Answer:

46

Step-by-step explanation:

Final answer:

Dominique needs to earn $34 per hour to reach her goal of $100, after accounting for her $15 expenses on supplies, for the 2.5 hours she will be working at the carnival.

Explanation:

To calculate how much Dominique needs to earn per hour to reach her goal of $100 after spending $15 on supplies, we first need to subtract the cost of supplies from her earnings goal:

$100 - $15 = $85

This leaves us with $85 that she needs to earn while working for 2.5 hours. By dividing $85 by the 2.5 hours, we can find out her required hourly earning rate.

So, the calculation will be $85 ÷ 2.5 hours = $34 per hour.

Therefore, Dominique will need to earn $34 per hour during her 2.5 hours of work to reach her goal of $100 after spending $15 on supplies.

Please help me!!!!!!!!!!!

Answers

90 degrees

3 ( square root sign) 10

                 10√2

Then b = ------------ = 5√2

                     Answer:

5√2

Step-by-step explanation:

Notice that the sine function links side b, the hypotenuse (10) and the 45° angle:

                 1

sin 45° = ------ = b/10

                √2

               

Then b = 10√2 / 2  = 5√2

A person purchased 5k + 2 items for a total cost of 35k 2 + 29k + 6. Find the average cost per item of this purchase.

Answers

Answer:

[tex]\boxed{7k + 3}[/tex]

Step-by-step explanation:

Average cost = total cost/number of items = (35k² + 29k + 6)/(5k + 2)

Perhaps the best way to solve this problem is to use long division.

                       7k  + 3  

5k + 2)35k² + 29k + 6

          35k² +  14k              

                       15k + 6

                       15k + 6

                                0

Thus,

[tex]\frac{35k^{2}+29k+ 6}{5k + 2} = 7k+3[/tex]

The average cost per item is [tex]\boxed{7k+3}[/tex].

Answer:7k+3

Step-by-step explanation:

What does the number 160 represent in the rational function that models the situation?


a) distance, in miles, between the cities


b) amount of fuel, in gallons, used by the train


c) time, in minutes, needed to travel between the cities

Answers

Answer:

the answer is A.

Step-by-step explanation:

Answer:

A) distance, in miles, between the cities

Step-by-step explanation:

correct on edge

The graph of f (0) = -4 cos 0 is shown below. The range of this function is



-4 ≤ f (0) ≤ 0

-π ≤ f (0) ≤ 2π

0 ≤ f (0) ≤ 2π

-4 ≤ f (0) ≤ 4

Answers

Answer:

-4 ≤ f ([tex]\theta[/tex]) ≤ 4

Step-by-step explanation:

The range of a function is the allowed y-values of the function.

We can simply look at the periodic function below and see that the y-value ranges from a negative 4 to a positive 4. It oscillates betwen -4 and 4. That is the range.

We can say -4 ≤ f ([tex]\theta[/tex]) ≤ 4

Last answer choice is right.

*** NOTE: it is a type, not "0", rather "[tex]\theta[/tex]"

Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 121212 feet^3 3 start superscript, 3, end superscript of fluffy material. What is the length of the pillow?

Answers

Answer:

The question is incomplete, the complete question is Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 12 ft³ of fluffy material. The base is 3 ft, the height is 2 ft, what is the length of the pillow?

The length of the pillow is 4 feet

Step-by-step explanation:

The formula of the volume of the wedge is [tex]V=\frac{1}{2}bhl[/tex] , where

b is the base of ith is the height of itl is the length of it

∵ The pillow in the shape of a wedge

∵ The pillow is filled with 12 ft³ of fluffy material

∴ The volume of the wedge = 12 ft³

∵ The base = 3 feet

∵ The height = 2 feet

- Use the formula of the volume above to find its length

∵ [tex]V=\frac{1}{2}(2)(3)l[/tex]

∴ V = 3 l

∵ V = 12 ft³

- Equate 3 l by 12

∴ 3 l = 12

- Divide both sides by 3

∴ l = 4 feet

The length of the pillow is 4 feet

Jamal is x years old. His mother is 28 years older than Jamal. Jamal's uncle is two times older than Jamal's mother. Write and simplify an expression that represents Jamal's uncle age in years

Answers

Answer:

From the information, we know that Jamal's mother is 28 years older than Jamal, so his mothers age should be:

x + 28 (years)

Also, we know that his uncle's age is twice as much as Jamal's mother age, so we have the following expression:

(x + 28) · 2 = 2x + 56

*Hope this help you

Jamal's uncle's age can be expressed as 2(x + 28), which simplifies to 2x + 56 years.

Jamal is x years old, and his mother is 28 years older than him. Therefore, his mother's age can be represented by x + 28. Jamal's uncle is two times older than Jamal's mother, which means we need to multiply his mother's age by 2 to get the uncle's age. So, the expression for Jamal's uncle's age is 2(x + 28). Simplifying this expression, we get:

2(x + 28)

2x + 2(28)

2x + 56

Thus, Jamal's uncle's age is represented by the expression 2x + 56 years.

What is the value for this expression? 2e-5
A.
0.0134
B.
296.826
C.
1.6375
D.
0.0034

Answers

Answer:

  A.  0.0134

Step-by-step explanation:

This is a question that must be answered using a table or calculator. (Tables are not in general use these days.) See below for a calculator's output.

___

The answer would be 0.0135 if it were properly rounded.

Factor the following equation to find its zeros.
y = x^2 - 15x +36

A| 12,3

B| Cannot be factored

C| 12, -3

D| -12, -3

Answers

Answer:

  A|  12, 3

Step-by-step explanation:

The polynomial can be factored by looking for factors of 36 that sum to -15. The sum being negative while the product is positive means both factors will be negative. The answer choices suggest ...

  y = (x -12)(x -3)

A quick check shows this product is ...

  y = x^2 -12x -3x +36 = x^2 -15x +36 . . . . as required

The factors are zero when x is either 12 or 3.

The zeros of the equation are 12 and 3.

____

Once you realize the constants in the binomial factors both have a negative sign, you can immediately choose the correct answer (A).

Or, you can use Descartes' rule of signs, which tells you that the two sign changes in the coefficients (+-+) mean there are 2 positive real roots.

Jeremy and Caitlin collect baseball cards. The ratio of Jeremy's cards to Caitlin's cards was 9 to 3. After Jeremy gave 12 cards to Caitlin, they had an equal number of cards. How many cards did Caitlin and Jeremy have at first? Explain.

Answers

Caitlin will have 18 and Jeremy will have 6 at first because then 18-6=12 which is how many cards Caitlin have to Jeremy

When completely factored, 3x2−48 equals -

Answers

Final answer:

The quadratic expression 3x^2-48 can be completely factored as 3(x-4)(x+4) by first factoring out the common factor and then utilizing the difference of squares.

Explanation:

To factor this expression completely, we first need to look for common factors and any patterns that might help simplify the expression. Both terms in the expression 3x2−48 have a common factor of 3. Factoring out this common factor gives us:

3(x2 − 16)

Notice that the expression inside the parenthesis, x2 − 16, is a difference of squares, which can be factored further into (x − 4)(x + 4). Therefore, the fully factored form of the original expression is:

3(x − 4)(x + 4)

This shows how identifying common factors and utilizing the difference of squares helps in completely factoring the given expression.

Victoria has a health care plan with a prescription benefit that offers four different options.
Option A: $55 monthly premium and $20 co-pay per prescription
Option B: $60 monthly premium and $15 co-pay per prescription
Option C: $65 monthly premium and $25 co-pay per prescription
Option D: $50 monthly premium and $30 co-pay per prescription
If Victoria fills an average of five prescriptions each month, which option is the least expensive? (4 points)

Option A

Option B

Option C

Option D

Answers

Answer:

OPTION B

Step-by-step explanation:

To solve, create a formula.

y= 5(copay)+premium

Using this you get:

Option A: 5(20)+55= $155

Option B: 5(15)+60= $135

Option C: 5(25)+65= $190

Option D: 5(30)+50= $200

Answer:

Option B

Step-by-step explanation:

Option A : 55 + 20(5) = 155

Option B : 60 + 15(5) = 135

Option C : 65 + 25(5) = 190

Option D : 50 + 30(5) = 200

1.)Find the volume of a cylinder that has a radius of 1/2 and a height of 1.
2.) What is the volume of a sphere with a diameter of 11ft? Round your answer to the nearest cubic foot.

2786 cubic feet
5572 cubic feet
8359 cubic feet
6193 cubic feet
3.) Find the volume of a cone that has a radius of 1/2 and a height of 1.
answer choices :
1/12pie
3/2pie
3/4pie
1/6pie

Answers

Answer:

a.V=1.57

b. 2786 cubic feet (696.9)

c. 1/12 pie

Step-by-step explanation:

a. I have that the volume of a cylinder can be expressed as [tex]V= \pi r^{2} h[/tex] what would be the base (the area of ​​the circle) by the height, so [tex]V=\pi * (\frac{1}{2}) ^{2} *1 =\frac{\pi }{2} = 1.57[/tex]

b. The volume of a sphere is given by the formula [tex]V=\frac{4}{3} \pi r^{3}[/tex] as the diameter is twice the radius I have to

[tex]V= \frac{4}{3} \pi (\frac{d}{2} )^{3} =\frac{4}{3} \pi (5.5)^{3} = 696.9[/tex]cubic feet the nearest cubic foot be 2786 cubic feet

c. The volume of a cone is given by the formula [tex]V=\frac{1}{3} \pi r^{2} h[/tex] so [tex]V=\frac{1}{3} \pi r^{2} h=\frac{1}{3} \pi (\frac{1}{2} )^{2} *1=\frac{1}{3}\pi \frac{1}{4}=\frac{1}{12}\pi[/tex]

SOMEONE PLEASE HELP!!! 45 POINTS!!
Inscribed angles homework sheet for geometry​

Answers

Answer:

h

Step-by-step explanation:

The radius of Earth is about 3960 miles. The radius of the moon is about 1080 miles. a. Find the surface area of Earth and the moon. Round your answer to the nearest tenth of a million. The surface area of the Earth is about million square miles and the surface area of the Moon is about million square miles. b. Compare the surface areas of Earth and the moon. Round your answer to the nearest tenth. The surface area of the Earth is about times greater than the surface area of the moon. c. About 70% of the surface of Earth is water. How many square miles of water are on Earth’s surface? Round your answer to the nearest tenth of a million. There are about million square miles of water on the Earth's surface.

Answers

A) The formula for surface area of a sphere is A = 4*PI*r^2

using 3.14 for PI:

Surface area for Earth = 4 * 3.14 x 3960^2 = 196,960,896 miles^2

Surface area of the moon: 4 * 3.14 * 1080^2 = 14,649,984 miles^2

B)Divide the Surface of the Earth by the moon:

196,960,896 / 14,649,984 = 13.44

The Earths surface is 13.4 times larger than the moon.

C) Multiply the surface of the Earth by 70%:

196,960,896 * 0.70 = 137,872,627.2 million square miles of water.

Calculating surface areas of Earth and the moon, comparing them, and determining the amount of water on Earth's surface.

a. Find the surface area of Earth and the moon:

Surface area of Earth = 4 x π x (3960 miles)2 ≈ 196.9 million square milesSurface area of Moon = 4 x π x (1080 miles)2 ≈ 14.6 million square miles

b. Compare the surface areas of Earth and the moon: Earth's surface area is approximately 13.5 times greater than the Moon's surface area.

c. About 70% of Earth's surface is water: There are approximately 137.9 million square miles of water on Earth's surface.

Please select the best answer from the choices provided

Answers

Answer:

[tex]x=\frac{5\pi}{4}[/tex]

Step-by-step explanation:

We want to solve;

[tex]\cscx=-\sqrt{2}[/tex] in the 3rd quadrant

Recall that;

[tex]\sin x=\frac{1}{\csc x}[/tex]

We use the reciprocal ratio to get;

[tex]\sin x=-\frac{\sqrt{2}}{2}[/tex]

In the third quadrant the solution is

[tex]x=\pi+\sin^{-1}(\frac{\sqrt{2} }{2} )[/tex]

[tex]x=\pi+\frac{\pi}{4}[/tex]

[tex]x=\frac{5\pi}{4}[/tex]

Calculate the flux of the vector field f(x, y, z) = 3hx + y, x − y, x2 + y 2 − 2zi through the surface s parametrized by φ(u, v) = u + 2v, u − 2v, u2 + 2v 2 with 0 ≤ u, v ≤ 1, and oriented by φu × φv

Answers

I'm not sure what to make of the "h" and "i" in your question, so I'll just ignore them (and the 3). Looks like we have

[tex]\vec f(x,y,z)=(x+y,x-y,x^2+y^2-2z)[/tex]

and a surface parameterzied by

[tex]\varphi(u,v)=(u+2v,u-2v,u^2+2v^2)[/tex]

with [tex]0\le u\le1[/tex] and [tex]0\le v\le1[/tex]. Then

[tex]\varphi_u\times\varphi_v=(4u+4v,4u-4v,-4)[/tex]

so that the flux is given by the integral

[tex]\displaystyle\iint_S\vec f\cdot\mathrm d\vec S=\int_0^1\int_0^1(2u,4v,4v^2)\cdot(4u+4v,4u-4v,-4)\,\mathrm du\,\mathrm dv[/tex]

[tex]=\displaystyle8\int_0^1\int_0^1(u^2+3uv-4v^2)\,\mathrm du\,\mathrm dv=\boxed{-2}[/tex]

Final answer:

To calculate the flux of the given vector field through the surface S, you need to calculate the partial derivatives of the parametrization, then find the cross product of these partial derivatives, and finally evaluate the double integral over the surface using the flux formula.

Explanation:

To calculate the flux of the vector field f(x, y, z) = 3hx + y, x − y, x2 + y2 − 2zi through the surface S parametrized by φ(u, v) = u + 2v, u − 2v, u2 + 2v2 with 0 ≤ u, v ≤ 1 and oriented by φu × φv:

Calculate the partial derivatives of φ(u, v) with respect to u and v.Calculate the cross product φu × φv using the partial derivatives obtained in the previous step.Plug the vector field f(x, y, z), the parametrization φ(u, v), and the cross product φu × φv into the flux formula Φ = ∫∫S f • (φu × φv) dA.Evaluate the double integral over the surface S using the limits of integration 0 ≤ u, v ≤ 1.

A train travels 480 miles at a constant speed (x), in miles per hour. Write an equation that can be used to find the speed of the train, if the time to travel 480 miles is 6 hours. you do not need to solve the equation

Answers

Answer:

480 = x(6)

Step-by-step explanation:

Given in the question that,

distance travelled by the train = 480 miles

time taken by the train to travel 480 miles = 6 hours

Suppose speed of train = x miles/hour

Formula to use to drive the equation

distance = speed x time

480 = x(6)

x = 480/6

x = 80 miles/hour

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Vanessa has two bags that contain slips of paper. One bag has 4 slips of paper that are numbered 2, 3, 4, and 5. The other bag has 4 slips of paper that are numbered 3, 4, 5, and 6.

Vanessa chooses one slip of paper from each bag without looking.

The random variable X is the product of the numbers on the slips of paper.

What is P(12 ≤ X ≤ 15)?



Enter your answer, in simplest fraction form, in the box.

Answers

Answer: 5/16

Step-by-step explanation:

First, let's calculate the total number of possible outcomes:

4 options in the first bag      and      4 options in the second bag   = 16

Here is the list:

23   24   25    26

33   34    35   36

43   44    45   46

53   54    55   56

Next, calculate the total number of outcomes which result in the product of 12, 13, 14, or 15.

Here are their products:

6    8     10    12

9   12     15    18

12   16     20   24

15   20    25   30

There are 5 outcomes that include a product of 12, 13, 14, & 15.

Probability is:  (# of satisfactory outcomes)/(total outcomes) = 5/16

Determine the equation of the graph.

Answers

Answer: C

y=-5cos(x) is the graphed equation. Cos(x) starts at (0,0) and one period is 2pi or 6.28 and by cos(x) multiplied by -5 starts the cosine wave at (0,-5) and thus corresponds to the graphed equation shown.

Any questions please feel free to ask. Thanks

Rewrite the equation in polar form.

Answers

Answer:

C) √5(cos(117°) +i·sin(117°))

Step-by-step explanation:

The rectangular number a+bi can be written in polar form as ...

√(a^2+b^2)×(cos(arctan(b/a)) + i·sin(arctan(b/a)))

Here, we have a=-1, b=2, so the magnitude is ...

√((-1)^2 +2^2) = √(1+4) = √5

and the angle is ...

arctan(2/(-1)) = arctan(-2) ≈ 116.565° . . . . . a 2nd-quadrant angle

Then you have ...

-1 +2i = √5(cos(117°) +i·sin(117°)) . . . . . . customary "polar form"

_____

Comment on the answer

The "polar form" is generally written as ...

(magnitude)·(cos(angle) +i·sin(angle))

You may also see it as ...

(magnitude) cis (angle) . . . . . . . where "cis" is shorthand for "cos + i·sin"

In my engineering courses, we often used the form ...

(magnitude) ∠ (angle)

The form used by my calculator is ...

(magnitude)·e^(i·angle) . . . . . where angle is usually in radians

Identify 2 objects you could find in a grocery store that holds less than 100 millimeters.

Answers

Answer:

a food container and a bowl

In the figure, mAB = 45° and mCD = 23°. The diagram is not drawn to scale.
What is the value of x?
A. 34°
B. 56.5°
C. 22°
D. 68°

Answers

Answer:

Option A. [tex]x=34\°[/tex]

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

[tex]x=\frac{1}{2}(arc\ CD+arc\ AB)[/tex]

substitute the values

[tex]x=\frac{1}{2}(23\°+45\°)[/tex]

[tex]x=34\°[/tex]

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Nayaka, who is planning a protest against social inequalities(APEX) What action did the U.S government take after the Bisbee deportation How does the photograph enchance the text How does Shakespeare use foreshadowing in Macbeth Which form of telemedicine involves real-time exchanges between a patient and a healthscience professional?Store-and-forwardRemote monitoringInteractiveTelepathology The Odyssey, Book I (excerpt) Homer THE GODS IN COUNCILMINERVA'S VISIT TO ITHACATHE CHALLENGE FROM TELEMACHUS TO THE SUITORS1Tell me, O Muse, of that ingenious hero who travelled far and wide after he had sacked the famous town of Troy. Many cities did he visit, and many were the nations with whose manners and customs he was acquainted; moreover he suffered much by sea while trying to save his own life and bring his men safely home; but do what he might he could not save his men, for they perished through their own sheer folly in eating the cattle of the Sun-god Hyperion; so the god prevented them from ever reaching home. Tell me, too, about all these things, oh daughter of Jove, from whatsoever source you may know them.2So now all who escaped death in battle or by shipwreck had got safely home except Ulysses, and he, though he was longing to return to his wife and country, was detained by the goddess Calypso, who had got him into a large cave and wanted to marry him. But as years went by, there came a time when the gods settled that he should go back to Ithaca; even then, however, when he was among his own people, his troubles were not yet over; nevertheless all the gods had now begun to pity him except Neptune, who still persecuted him without ceasing and would not let him get home.3Now Neptune had gone off to the Ethiopians, who are at the world's end, and lie in two halves, the one looking West and the other East. He had gone there to accept a hecatomb of sheep and oxen, and was enjoying himself at his festival; but the other gods met in the house of Olympian Jove, and the sire of gods and men spoke first. At that moment he was thinking of Aegisthus, who had been killed by Agamemnon's son Orestes; so he said to the other gods:4"See now, how men lay blame upon us gods for what is after all nothing but their own folly. Look at Aegisthus; he must needs make love to Agamemnon's wife unrighteously and then kill Agamemnon, though he knew it would be the death of him; for I sent Mercury to warn him not to do either of these things, inasmuch as Orestes would be sure to take his revenge when he grew up and wanted to return home. Mercury told him this in all good will but he would not listen, and now he has paid for everything in full." Which of these BEST describes the narrators point of view in the excerpt?A)first personB)third person limitedC)third person objectiveD)third person omniscient What is the simplified form of x+8/4-x+5/4? A. x+3/4B. x-3/4C. 3/4D. 2x+13/4 What is the scientific term for something that is living and demonstrates the 7 life processes? A. ThingB. Ecology C. Organism D. Bacterium Which of these sentences uses correct punctuation? A. Francis had a lot on his mind that afternoon, he was concerned about his mothers illness and about losing his job. B. The packing instructions asked each camper to bring the following items; a flashlight, a sleeping bag, sunscreen, and a book for independent reading. C. In time, of course, all issues get resolved, but not necessarily in the way you would like. D. The king ordered that all his subjects should show their allegiance through common forms of attire: yet many people continue to wear the traditional hats of their various regions. A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping? Read the following passage and answer the questions that follow:Doctor Pascalby Emile ZolaIn the heat of the glowing July afternoon, the room, with blinds carefully closed, was full of a great calm. From the three windows, through the cracks of the old wooden shutters, came only a few scattered sunbeams which, in the midst of the obscurity, made a soft brightness that bathed surrounding objects in a diffused and tender light. It was cool here in comparison with the overpowering heat that was felt outside, under the fierce rays of the sun that blazed upon the front of the house.Standing before the press which faced the windows, Dr. Pascal was looking for a paper that he had come in search of. With doors wide open, this immense press of carved oak, adorned with strong and handsome mountings of metal, dating from the last century, displayed within its capacious depths an extraordinary collection of papers and manuscripts of all sorts, piled up in confusion and filling every shelf to overflowing. For more than thirty years the doctor had thrown into it every page he wrote, from brief notes to the complete texts of his great works on heredity. Thus it was that his searches here were not always easy. He rummaged patiently among the papers, and when he at last found the one he was looking for, he smiled.For an instant longer he remained near the bookcase, reading the note by a golden sunbeam that came to him from the middle window. He himself, in this dawnlike light, appeared, with his snow-white hair and beard, strong and vigorous; although he was near sixty, his color was so fresh, his features were so finely cut, his eyes were still so clear, and he had so youthful an air that one might have taken him, in his close-fitting, maroon velvet jacket, for a young man with powdered hair.Which of these is the purpose of the first paragraph? To foreshadow the action that follows To set the mood for the scene that follows To provide a physical contrast to the nature of the characters To introduce a metaphor that applies to the rest of the passage Find the product. Find your answer in exponential form 3^-3 3^-5 Hamza holds hands close to a hot surface. He can feel the infrared waves but cannot see them. What explains Hamzas observations Which sentence best explains the statement "Writing is rewriting"? A. Writing well can be done only with a great deal of struggle and effort. B. The first draft is usually very poorly constructed. C. Writing well can easily be done in two steps. D. The best writing typically requires multiple edits and correcting.