Helppppppo points to give

Helppppppo Points To Give

Answers

Answer 1

a) The point (2, -7/5) is not a point on the graph?

b)  The value of f(x) when x is 1 is -1/3 and the point on the graph is (1, -1/3)

c) The value of x for f(x) = 2 is 22 and the point on the graph is (22, 2)

d) The domain of x is all real values of x ≠ 10

e) The x intercept is -2

f) The y intercept is -1/5

What is a Function?

Function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output and not one input for two outputs.

Analysis:

a) To test if the point (2, -7/5) is a point on the graph, we put in x = 2 into the function,

f(2) = 2+2/2-10 = 4/-8  = -1/2 ≠ -7/5. Therefore (2, -7/5) is not a point on the graph.

b) if x = 1, f(1) = 1 +2 / 1-10 =  3/-9 = - 1/3

   The point on the graph is (1, -1/3)

c) if f(x) = 2, then 2 = x+2/x-10

     2(x-10) = x+2

     2x -20 = x+2

      2x-x = 2+20

      x = 22, the point on the graph is (22, 2)

d) The domain of the function is such that the denominator would not be zero.

so if x - 10 ≠ 0

Then the values of x ≠ 10 are the domain of the function.

e) The x intercept of the graph is the point at which f(x) = 0

  0 = x+2/x-10

   x+2 = 0

   x = -2. The x-intercept is -2.

f) the y-intercept is such that x = 0

   0+2/0-10 = 2/-10 = -1/5

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Related Questions

Choose the function whose graph is given by:
5
OA. y= cos(x-1)
OB. y= sin(x+2)
OC. y=sin(x-2)
OD. y = sinx-2

Answers

Answer:

C.y=sin(x-2)

Step-by-step explanation:

Using the topic of transformation of functions(rules shown in picture above)

the the (x-2) moves the graph to places to the right

and as the sine graph goes through 0 and so you add 2 to the right (but there is a problem in the graph should in the picture as it should me labeled 0,90,180,270,360 not these small numbers)

hope it helps!! :)

solve this question in the picture
YOU HAVE TO FIND THE AREA OF THE SHADED REIGON IN THE GIVEN PICTURE
●Give right answers
●please solve fast
●Thank you, please solve this part
●FIND the area of the shaded part​

Answers

Answer: [tex]64\pi[/tex]

Step-by-step explanation:

Area of the outer circle: [tex](\pi)(10^{2})=100\pi[/tex]

Area of the inner circle: [tex](\pi)(6^{2})=36\pi[/tex]

Subtracting these areas, we get the area of the shaded region is [tex]\boxed{64\pi}[/tex]

Exact volume:
Approximate volume:

Answers

Answer: Multiplying these factors gives the approximate volume of the original body

Step-by-step explanation:

The given convex body can be approximated by a sequence of nested bodies, eventually reaching one of known volume (a hypersphere), with this approach used to estimate the factor by which the volume changes at each step of this sequence.

You want to place stone pavers around the edge of your concrete patio. The patio is 12 ft wide by 14 ft long and each stone paver is 14 inches long . How many stone pavers will you need to go around the patio (not counting the side against the house which is 14 ft long)? (round to the nearest whole number )

Answers

33 stone pavers are needed to go around the patio with dimension of 12 ft wide by 14 ft long

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

12 inch = 1 ft

Total perimeter of patio not counting the side against the house = 12 + 12 + 14 = 38 feet

38 feet = 38 feet * 12 inch per feet = 456 in

Number of stone pavers needed = 456 in / 14 in = 32.57 ≅ 33

33 stone pavers are needed to go around the patio with dimension of 12 ft wide by 14 ft long

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look at the picture ​

Answers

Answer:

i can't see the picture.

NEED ANSWER ASAP
The graph of F(x), shown below, resembles the graph of G(x) = x², but it has
been changed somewhat. Which of the following could be the equation of F(x)

Answers

[tex]f(x) = - 3(x + 3) {}^{2} + 3[/tex]

Option D

Raj and Priyanka are playing a game in which each person takes turns to snap open a book at a random page. The LAST TWO DIGITS OF THE PAGE NUMBER ON THE RIGHT SIDE is taken as the person's score.

A player's TOTAL score is calculated by adding each turn's score to the previous total. Which of the following could NOT be Priyanka's score after 4 rounds of the game?

A. 6

B. 88

D. 145

C. 250​

Answers

After four rounds of the game, it is impossible that Prinyanka's score could be A. 6.

What is the lowest score Priyanka could get at round 4?

The numbers of the right side are shown to be odd numbers. the lowest numbers that Priyanka can get are:

= 1, 3, 5, 7

Assuming Priyanka picks 1 and 3 which are the lowet number, the total Priyanka would get i:

= 1 + 1 + 3 + 3

= 8

it is therefore not possible to get 6 points after 4 rounds of the game.

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what do both of these functions have in common? f(x)=3/2 (x-7) -2 g(x) = 1.5ln(x-2)+7
(x-7) should be absolute value of that.

Answers

Both the function have same vertical stretch of 1.5 , Option B is the correct answer.

What is a Function ?

A function is a law that relates a dependent and an independent variable.

The functions given in the question is

f(x) = 3/2 |(x -7)| -2

g(x) = 1.5 ln(x-2)+7

For a function f(x)

f'(x) = a f(x) represents the stretching of a function if a> 1

here the value of a = 1.5 for both the functions , so they have same vertical stretch of 1.5 .

Therefore from the options given , Option B is the correct answer.

The complete question is attached as an Image.

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You want to buy a $33,000 car. The company is offering a 3% interest rate for 36 months (3 years). What will your monthly payments be?

Answers

Answer:

  $959.68

Step-by-step explanation:

The loan amortization formula can be used to find the payment amount.

Formula

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

A = payment amount; P = principal borrowed; r = annual interest rate; t = number of years; n = payments per year (and number of times interest is compounded per year).

Application

For a principal amount of $33,000 at an interest rate of 3%, the 36 monthly payments will be ...

  A = $33000(0.03/12)/(1 -(1 +0.03/12)^(-12·3)) ≈ $959.68

The monthly payments will be $959.68.

I need help please. Trying to get my HS diploma. I did not graduate :(

Find the holes of the function

Answers

Answer:

  (a)  none

Step-by-step explanation:

A "hole" in the graph of f(x) is located at an x-value where the left limit of the function and the right limit are the same finite value, but the function is undefined at that value of x.

Example

The function f(x) = (x -2)/(x -2) can be reduced to the function f(x) = 1, which is defined everywhere. That reduction occurs when the numerator factor (x-2) cancels the same binomial denominator factor. A graph of the original function will be a straight horizontal line with a "hole" at (2, 1).

The attachment shows a graph.

Given Function

The given function can be reduced, but the reduced function remains undefined at x=1/2. Not all of the denominator factors are cancelled there. The function is graphed in the second attachment. At x=1/2, there is a vertical asymptote, not a hole.

  [tex]g(x)=\dfrac{(2x-1)(x+4)^2(x-1)(3x+2)}{3x(x-4)(2x-1)^3}\qquad x\notin \left\{0,\dfrac{1}{2},4\right\}\\\\g(x)=\dfrac{(x+4)^2(x-1)(3x+2)}{3x(x-4)(2x-1)^2}\qquad x\notin \left\{0,\dfrac{1}{2},4\right\}[/tex]

There are no holes in the function's graph.

__

Additional comment

A hole can occur for a variety of reasons. In the graph of a rational function, it will generally be found where numerator and denominator zeros cancel each other completely, and the function can be "reduced" to one that is define at the location of those zeros.

It can also occur in piecewise defined functions, where the pieces are defined on adjoining (half) open intervals. For example:

  [tex]f(x)=\begin{cases}-x&\text{for }x < 0\\x&\text{for }x > 0\end{cases}[/tex]

has a hole at (0, 0).

Consider the following frequency table representing the scores on a test.
Scores on a Test
Class Frequency
20–29 9
30–39 4
40–49 3
50–59 2
60–69 10
Determine the number of scores between 19.5 and 49.5.

Answers

The number of scores between 19.5 and 49.5 using the cumulative frequency is 16.

What is the cumulative frequency?

The cumulative frequency is the running total of frequencies over some class intervals.

The frequency refers to the number of elements in the set or class.

Therefore, the cumulative frequency is the sum of all previous frequencies up to the required point.

Data and Calculations:

Scores on a Test

Class    Frequency   Cumulative Frequency

20–29         9                        9 (0 + 9)

30–39         4                       13 (9 + 4)

40–49         3                      16 (13 + 3)

50–59         2                      18 (16 + 2)

60–69        10                    28 (18 + 10)

Thus, the number of scores between 19.5 and 49.5 using the cumulative frequency is 16.

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a history book weights 24 oz more than a math book. the marh book is 75% the weight of the history book. how much does each book weight

Answers

The weight of the math and the history book are 72 and 96 ounces respectively.

How to find the weight of a book?

A history book weights 24 oz more than a math book.

Therefore,

let

x = weight of math book

weight of history book = 24 + x

The math book is 75% the weight of the history book.

Therefore,

math book weight = 75 / 100 (24 + x)

x = 75 / 100 (24 + x)

x = 1800 + 75x / 100

100x =  1800 + 75x

100x - 75x =  1800

25x = 1800

x = 1800 / 25

x = 72

Therefore,

weight of math book = 72 ounces

weight of history book = 72 + 24 = 96 ounces.

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find the surface area of a cylinder with height of 8 feet and base diameter of 6 feet

Answers

The answer is A≈207.35ft²

Answer:

[tex]66\pi[/tex] ft²

Step-by-step explanation:

First find the area of the rectangle surrounding the cylinder.

Since the base diameter is 6 feet, the circumference [tex]=\pi d=6\pi[/tex].

Since the height is 8 feet, the area of the rectangle is [tex]6\pi\times8[/tex] or [tex]48\pi[/tex]

Now the area of the base circle [tex]=\pi r^2 = \pi\times\frac{1}{4}d^2=9\pi[/tex]

There are 2 base circles, so [tex]9\pi\times2=18\pi[/tex]

Surface area = [tex]18\pi+48\pi=66\pi[/tex] ft²

What is the slope of the line that contains these points?

x: -7| -4 | -1 | 2
y: -7| 14 | 35 | 56

slope:?

Answers

The slope of the given line containing the given points is; 7.

How to Calculate the slope of a Line?

The formula for slope of a line between two coordinates is;

Slope(m) = (y2 - y1)/(x2 - x1)

Now, let us take the last 2 coordinates which are;

(-1, 35) and (2, 56).

Thus, the slope is;

m = (56 - 35)/(2 - (-1))

m = 21/3

m = 7

Thus, the slope of the given line containing the given points is 7.

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A runner can run 3miles in minutes. At this rate, how many 15miles can he run in 45minutes?





15

Answers

Answer:

9

Step-by-step explanation:

I believe the question is stating he can run 3 miles in 1 minute? Though it does make sense, here's the breakdown. :)

3 x 45 = 135 Miles total

135 / 15 = 9 "15" miles ran after 45 minutes.

If this is not what you meant to ask, let me know!

Purdue has 1320 employees and plans to increase the number of employees by 20% each year. Is this linear or exponential? Which equation describes this situation?

Please Help!!!
Answer Quickly!!

Answers

The exponential function that describes the situation is:

[tex]A(t) = 1320(1.2)^t[/tex]

What is an exponential function?

An increasing exponential function is modeled by:

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

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

The parameters for this problem are:

A(0) = 1320, r = 0.2.

Hence the equation is:

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

[tex]A(t) = 1320(1 + 0.2)^t[/tex]

[tex]A(t) = 1320(1.2)^t[/tex]

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The sale price of a laptop is R3 700,00, which is only 65% of the original price. Calculate the original price.​

Answers

The original price of a laptop that is 65% of the sales price is R3 1076923.07692

How to find the original price when given the percentage?

The sale price of a laptop is R3 700,00,which is only 65% of the original price.

Therefore,

let

x = original price

Hence,

700, 000 = 65% of x

700,000 = 65 / 100 of x

cross multiply

70000000 = 65x

divide both sides by 65

x = 70000000 / 65

x = 1076923.07692

Therefore, the original price of the laptop is R3 1076923.07692

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Hernandez Company issued $380,000, 7%, 10-year bonds on January 1, 2022, for $407,968. This price resulted in an effective-interest rate of 6% on the bonds. Interest is payable annually on January 1. Hernandez uses the effective-interest method to amortize bond premium or discount.

Answers

For calculation of the following entries, the bond interest expense will gotten by multiplying the carrying bond value by the market interest rate.

Journal entry to record issuance of the bonds

Date    Account titles                   Debit        Credit

Jan. 1.  Cash                                $407,968

                 Bonds payable                           $380,000

                 Premium on bonds payable      $27,968

                 ($407,968 - $380,000)

Journal entry to record accrual of interest and the premium amortization

Date      Account titles                          Debit      Credit

Dec. 31. Bond interest expense          $24,478

                    Premium bond payable                    $2,122

                    Bond interest payable                      $26,600

Journal entry to record payment of interest

Date    Account titles                   Debit        Credit

Jan. 1.  Bond interest payable     $26,600

           ($380000 * 7%)

                   Cash                                            $26,600

Missing words "Prepare journal entries to record (a) The issuance of the bonds, (b) The accrual of interest and the premium amortization on December 31, 2022 and (c) The payment of interest on January 1, 2022"

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Find the y-intercept of the line on the
graph.

Answers

Answer:

The y intercept is the point where the line crosses the y axis.

Step-by-step explanation:

Question
If h (x) = 10x, then for what value of x does h (x) = 100,000 ?

Answers

Answer:

x=10000

Step-by-step explanation:


A company in its first year of business produced 150 training manuals for a total cost of $2.350. The following
year, the company produced 50 more manuals at a cost of $ 1,450. Use this information to find a linear equation
that gives the total cost of producing training manuals from the number of manuals produced.

Answers

Answer:

  y = 9x +1000

Step-by-step explanation:

The relation for the total cost of manuals based on the number produced will be the sum of a base cost and a variable cost. The variable cost is the product of the cost per manual and the number of manuals.

Cost per manual

The cost per manual can be found by looking at the increase in cost relative to the increase in the number of manuals produced:

  cost per manual = (increase in cost)/(increase in production)

  = ($2350 -1450)/(150 -50) = $900/100 = $9

Base cost

The base cost will be added to the product of the cost per manual and the number of manuals. For the 2nd year purchase, this is ...

  $1450 = base cost + (50 manuals)×($9/manual)

  $1450 = base cost + $450

  base cost = $1450 -450 = $1000

Equation

The equation for the cost in dollars (y) of producing x manuals can now be described by ...

  y = (cost per manual)x +(base cost)

  y = 9x +1000

cual es el proceso de estas operaciones de :<, > o = ... porfavor

Answers

El uso de las dadas operaciones es:

a < b  significa "a es menor que b"a > b significa "a es mayor que b"a = b significa "a es igual que b".

¿Como utilizar las operaciones?

Para las operaciones "<", ">", y "=" uso es:

a < b  significa "a es menor que b"a > b significa "a es mayor que b"a = b significa "a es igual que b".

Entonces simplemente debemos comparar los dos números, si vemos al primer problema, por ejemplo:

3 ___ 17/2

Sabemos que 17/2 = 8.5

8.5 es más grande que 3, entonces el signo que debe ir ahi es:

3 < 17/2.

Todas las operaciones que estan colocados en la hoja ya son correctos.

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Use the table to the right to answer the following question.

Compare the energy released by fission of 1 kilogram of element B to that released by burning 1 kilogram of element A.

Answers

Fission of 1 kg of element B releases 2941 times as much energy as burning 1 kg of element A

How to compare the energy released?

The given parameters are:

Energy A = 5.1 * 10^7

Energy B = 1.5 * 10^11

The amount of energy B in proportion to energy A is calculated as

Proportion = Energy B/Energy A

So, we have:

Proportion = (1.5 * 10^11)/(5.1 * 10^7)

Divide 1.5 by 5.1

Proportion = 0.2941 * 10^11/10^7

Divide 10^11 by 10^7

Proportion = 0.2941 * 10^4

Evaluate

Proportion = 2941

Hence, fission of 1 kg of element B releases 2941 times as much energy as burning 1 kg of element A

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The graph that correctly represents the given system of equations is graph , and the solution to the system is ( ,

what graph would it be, doing this on plato rn.

Answers

The question was incomplete. Below you will find the missing content.

Use the system of equations and graphs below to complete the sentence.

x - 2y = 5

3x + 15y = -6

The graph that correctly represents the given system of equations is a graph ( ), and the solution to the system is ( , ).

The correct option will be Option B: Graph B and the solution of the given system of equations will be (3,-1).

Given the first equation is x-2y=5

in this equation of line, the x-coordinate is:

x-(2.0)=5

⇒ x=5

The x-coordinate will be (5,0).

in this equation of line, the y-coordinate is:

0- 2y=5

⇒y= -5/2

The y-coordinate will be (0,-5/2).

So the first line equation has x-coordinate (5,0) and y-coordinate (0,-5/2).

Similarly,

Given the second equation is 3x+15y=-6

in this equation of line, the x-coordinate is:

3x+(15.0)=-6

⇒ x=6/3=2

The x-coordinate will be (2,0).

in this equation of line, the y-coordinate is:

(3.0)+15y=-6

⇒y= -6/15= -2/5

The y-coordinate will be (0,-2/5).

So the second line equation has x-coordinate (2,0) and y-coordinate (0,-2/5).

Equation-1: x - 2y = 5

⇒x =2y+5

putting the value of x in equation-2

3x + 15y = -6

⇒ 3(2y+5)+15y=-6

⇒6y+15+15y=-6

⇒21y=-6-15=-21

⇒y=-21/21=-1

putting the value of y in equation of x

x= 2(-1)+5= -2+5= 3

The solution of system of equations will be (3,-1)

Checking all the options

In option B one line has  x-coordinate (5,0) and y-coordinate (0,-5/2) and another line has x-coordinate (2,0) and y-coordinate (0,-2/5).

And the point of intersection of two lines is (3,-1).

Therefore the correct option will be Option B: Graph B and the solution of the given system of equations will be (3,-1).

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A jar contains 11 brown and 18 blue marbles. A marble is drawn at random. What is the theoretical probability of NOT drawing a blue marble?

Answers

Answer:

come omo-tzzf-ivc In meet I will tell

Pls help! Geometry
Find the area

Answers

Answer:

197.9

Step-by-step explanation:

find the area of the large circle and subtract the area of the small circle

area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

area of large circle = 144[tex]\pi[/tex]

area of small circle = 81[tex]\pi[/tex]

area of shaded region = 63[tex]\pi[/tex]

which is equal to about 197.9

I have two gold rings weighing 7.534g and 5,300 mg. Which is the heavier ring? By how much?​

Answers

Answer:

7.534g ring is heavier, by 2.234g

Step-by-step explanation:

Note: mg =

[tex] {10}^{ - 3} grams[/tex]

[tex]5300mg = ( \frac{5300}{ {10}^{3} } )g \\ = ( \frac{5300}{1000} )g \\ = 5.3g[/tex]

From here we can see Ring A (7.534g) is heavier than Ring B(5,300mg)

Difference in Mass = 7.534g - 5.3g

= 2.234g

When flipping a fair coin 4 times in a row, which outcome is more likely: HTHT or HHHH.
Justify your answer

Answers

Answer:

See below

Step-by-step explanation:

equal probability    each occurs 1 time out of 16 possibilities

tttt

ttth

ttht

tthh

thtt

thth

thhh

httt

htth

thth

htht

hthh

hhtt

hhth

hhht

hhhh

A bag has green and purple marbles. Two-fifths of the marbles are green, and the rest are purple.
a. Draw a bar model for this situation.

b. If there are 134 green marbles, how many are purple?

Answers

The number of purple marbles in the bag are; 201 purple marbles

How to work out fraction of bar model?

We are told that Two-fifths of the marbles are green, and the rest are purple.

A) The image attached shows the bar model where the shaded parts denote the purple marble while the unshaded parts denote the green marbles.

B) We are told that there are 134 green marbles.

If the total number of marbles are x. Then;

(2/5)x = 134

x = 134 * 5/2

x = 335 marbles

Thus;

Purple Marbles = (3/5) * 335 = 201 purple marbles

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14 points


Choose the correct graph of the given system of equations.

y − 2x = −1
x + 3y = 4

graph of two lines, one with a positive slope and one with a negative slope, that intersect at the point negative 1, 1 with text on graph that reads One Solution negative 1, 1
graph of two lines that intersect at the point 1, 1 with text on graph that reads One Solution 1, 1
graph of two parallel lines with positive slopes with text on graph that reads No Solution

Answers

The graph of the given system of equations is shown below

Graph of simultaneous linear equations

From the question, we are to graph the given system of equations.

The given system of equations are

y − 2x = −1

x + 3y = 4

The graph of the given system of equations is shown below

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In Korematsu v. the United States, the Supreme Court ruled that the internment of Japanese Americans was illegal.TrueFalse Attempt?Natural SubsequenceIn Timsort, we try to use the natural sorted subsequence already present inthe array which is to be sorted. The natural sorted sequences are thosearray.which are somehow already present in the sorted order in the providedYour task is to find the length of the longest natural sorted subsequencealready present in the given string.Input Specification:input1: A string containing all lower case letters.Revisit LaterOutput Specification:Return the length of the longest natural sorted subsequence.Example 1:input1: abzd In which of the following systems are all of the forces acting in random directions on the object and produce various moments? Read this students draft carefully, and identify any errors that need to be fixed.Gianna managed to remain calm the entire time that her brother was being taken to the clinic. Even though her brother cried a lot, gianna tried to joke with him so that hewould not think about his broken arm. That helped him to stop crying. and because he was quiet, he did not move around and make his arm worse.What kinds of the errors do you see in the passage that you would edit? Select the best answer.capitalization and word spacingcapitalization, word spacing, and punctuationcapitalization, spelling, and grammarcapitalization, punctuation, and spelling The prefrontal cortex/frontal lobe of our brain helps1. control emotions2. control coordination3. with vision and hearing4. making decisions In some eukaryotic cells, cilia and flagella are motile cellular appendages that aid the cell in __________. Ulises lives 11 miles from school. Convert the distance to feet The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested?. Consider the monopolistically competitive market structure, which has some features of a perfectly competitive market and some features of a monopoly A bar code feature in an app would be best used for (5 points)O assessing the nutritional value of an item at the storeO checking menu items before going to a restaurantO tracking how often you eat one foodO finding calorie counts shared from other people Read the following passage from Homer's The Odyssey.Of all that breathes and crawls across the earth,our mother earth breeds nothing feebler than a man.So long as the gods grant him power, spring in his knees,he thinks he will never suffer affliction down the years.But then, when the happy gods bring on the long hardtimes,bear them he must, against his will, and steel his heart.Based on this passage, how might the context of ancient Greece haveinfluenced Homer's writing?OA. He believes that humanity is the ultimate force on Earth.B. He values the power and will of gods above those of humans.C. He values all living things equally, humans and animals.D. He lived during a time when people were suffering greatly. What is the freezing point depression of an aqueous solution of 10.0g of glucose (C6H12O6) in 50.0g of water? [Kf for a water= 1.86c/m, C=12, O= 16, H=1] A cat gave birth to 11 calico kittens and 16 non-calico kittens. What is the ratio of calico kittens to non-calico kittens? Graph the equation y=x 2 8x7 on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Tertiary endocrine disorders occur due to a problem in the pituitary glarO TrueO False Which of the following sentences does not use slang or jargon?Multiple ChoiceWhen I got home from work, I was so hangry I decided to nuke a frozen burrito in the microwave.When I got back to my crib, I decided to grab some shuteye.After I arrived home from work, I plopped down on the couch and turned on the television.After putting my nose to the grindstone all day, I decided to go home and catch forty winks. In part two of trifles the symbol of the broken birdcage best supports the theme that women often Fill in the blank with the most appropriate word (10 marks) It is undeniable that our education system. 1.............. Kenya has done a lot for students. Our literacy 2....... thirty years. More has risen tremendously over the 3........... youths are leaving school for the work force at 4...... .... educational levels. The majority of Kenyans have had the 5........ of primary education, something most of our grandparents do not 6....... However, there are still 7...... which need improvement in our educational system. There is need for enough space experimentation 8...............the cultivation of genuine interest. ...9.......is required is a real understanding and appreciation of the subject, 10...... .merely high marks. Fill in the blank. Someone who works 40 hours per week for 50 weeks per year, with two weeks off, would work around __________________hours per year. One primary source of American law is: a. the Declaration of Independence. b. the Magna Carta. c. the U.S. Constitution. d. the United Nations Universal Declaration of Human Righ