Mathematics College

The circumference of a circle is 10π cm. What is the Radius of the circle? A) 4 cm B) 5 cm C) 10 cm D) 20 cm


ASAP

Answers

Answer 1
The answer is B 
C=2pieR 
if C=10pie 
then you have to devide 10 by 2 
Answer 2
Answer is B 5 cm is correct. C=πd; thus, d=C/π. therefore, d=10π π=10; 2r=d; 2r=10; r= 5 cm

Related Questions

Which expression is equivalent to 2.25 + 2.25x + 1 - 0.75x + 2x

Answers

2.25 + 2.25x + 1 - 0.75x + 2x = 3.5x + 3.25

How far does a horse on a Merry-go-round travel in one revolution if he is 6.5 feet from the center? (Use 3 for π)
A) 13 feet
B) 26 feet
C) 39 feet
D) 52 feet

Answers

Circumference of Circle = 2 π r 

2 · 3 · 6.5 =39

So it is C) 39 Feet

Answer:

41 FEET

Step-by-step explanation:

I JUST DID USATESTPREP

expand the equation 1/3(2/5-2/3w)

Answers

1/3(2/5-2/3w)
= 1/3 * 2/5   - 1/3 *2/3w
= 2/15 - 2/9w

Mr. Lin baked banana bread for a bake sale to raise money for the math team. He said that he added a spoonful of walnuts for each of the students in his three classes, and that he added more than 250 walnuts. He used the inequality
16w + 24w + 10w > 250 to represent this situation, where w represents the number of walnuts in each spoonful. How many walnuts can be in a spoonful?

Answers

To answer this question you would need to solve this inequality. The first step would be to combine all three terms on the left-hand side of the greater than symbol. By doing this you would have 50w > 250. To solve this inequality divide both sides by 50. The answer is w > 5. In words, this means the number of walnuts per spoonful is greater than five.

what is the solution of the equation 1.6m - 4.8 = -1.6m

Answers

Solve for m:
1.6 m - 4.8 = -1.6 m

Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m

1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0

1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0

Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8

4.8 - 4.8 = 0:
3.2 m = 4.8

Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2

3.2/3.2 = 1:
m = 4.8/3.2

4.8/3.2 ≈ 1.5:
Answer:  m ≈ 1.5

Answer:

m=1.5

Step-by-step explanation:

I took the test.

Let $\mu$ and $\sigma^2$ denote the mean and variance of the random variable x. determine $e[(x-\mu)/\sigma]$ and $e{[((x-\mu)/\sigma)^2]}$

Answers

[tex]\mathbb E\left(\dfrac{X-\mu}{\sigma}\right)=\dfrac1\sigma\mathbb E(X)-\dfrac\mu\sigma=\dfrac{\mu-\mu}\sigma=0[/tex]

[tex]\mathbb E\bigg(\left(\dfrac{X-\mu}\sigma\right)^2\bigg)=\dfrac1{\sigma^2}\mathbb E\left(X^2-2\mu X+\mu^2\right)=\dfrac{\mathbb E(X^2)-2\mu\mathbb E(X)+\mu^2}{\sigma^2}[/tex]
[tex]=\dfrac{\mathbb E(X^2)-2\mu^2+\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mathbb E(X)^2}{\sigma^2}[/tex]
[tex]=\dfrac{\mathbb V(X)}{\sigma^2}=\dfrac{\sigma^2}{\sigma^2}=1[/tex]
Final answer:

The expectation of (x-µ)/ equals 0, as it's the standardized form of variable X having a mean of 0. The expectation of {[((x-µ)/)]^2} equals 1, as it's the variance of the standardized variable which is always 1.

Explanation:

The question pertains to the concepts of expected values, mean and variance in probability and statistics. When we have a random variable X with mean µ and variance ^2, we can determine the expected value of a transformed variable (x-µ)/ and its square (x-µ)/^2.

The expectation of (x-µ)/ is actually 0. This is because when you subtract the mean (µ) from the random variable and divide by the standard deviation (), you are standardizing the variable to have a mean of 0.

For the expectation of {[((x-µ)/)]^2}, we actually get 1. This is because the square of a standardized random variable, like (x-µ)/, is the variance of the standardized variable, which is always 1.

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Tom spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his credit card bill. If $1320 was left, what was his monthly salary?

Answers

assume that x = monthly salary

x -1/3x - 1/7x = 1320
11/21x =1320
x = 1320 divides by 11/21
x = $ 2520

his monthly salary was $ 2520

Heights of adult women in the united states are normally distributed with a population mean of μ = 63.5 inches and a population standard deviation of σ = 2.5. a medical researcher is planning to select a large random sample of adult women to participate in a future study. what is the standard value, or z-value, for an adult woman who has a height of 50.4 inches? (calculate to 1 decimal)

Answers

For an adult woman with a height of 50.4 inches in the United States, the standard value (z-value) is approximately -5.2, calculated based on a normal distribution with a mean of 63.5 inches and a standard deviation of 2.5 inches.

To find the standard value or z-value for a given height in a normal distribution, you can use the formula:

[tex]\[ Z = \frac{{X - \mu}}{{\sigma}} \][/tex]

where:

- Z is the z-value,

- X is the individual data point (height in this case),

- [tex]\( \mu \)[/tex] is the population mean,

- [tex]\( \sigma \)[/tex] is the population standard deviation.

For the given problem:

- [tex]\( \mu = 63.5 \)[/tex] inches,

- [tex]\( \sigma = 2.5 \)[/tex] inches,

- X = 50.4 inches.

[tex]\[ Z = \frac{{50.4 - 63.5}}{{2.5}} \]\[ Z \approx -5.24 \][/tex]

Rounded to one decimal place, the z-value for an adult woman with a height of 50.4 inches is approximately -5.2.

the hardware store sells sparklers for the 4th of july. they charge 19 cents apiece. the firework stand charges 85 cents for four. which is the better deal? how can you tell

Answers

Let’s start by finding the average for the place that charges 85 cents for 4 fireworks. You simply do 85 divided by 4 to get 21.25 cents. This means that each firework costs about 21 cents a piece. So, the first firework stand is the better deal, because 19 cents a piece is better than 21 cents a piece.

In the diagram below QRS=NMP what is length in inches of MP

Answers

mp is congruent to rs

can u show me common core way this problem how to do 5/9 ×3 1/2

Answers

1.) you want to make 3 1/2 an improper fraction. so multiply 3 times 2 (your denominator) then add 1 (numerator). 
3x2= 6  6+1=7, then put 7 over your denominator which would be 7/2.
2.) multiply 5/9 times 7/2
5 times 7 is 35
9 times 2 is 18
your answer is 35/18
3.) make it a proper fraction
18 times 2 is 36 so that would't work to have two!
so you only can put 18 into 32 once so subtract 32-18 so you know what is left over after you take a whole out. 32-18=14. 14 is now the numerator and so put your whole number first then put your numerator over your denominator: 1 14/18
4.) simplify
1 14/18=  1 7/9, I divided 14 and 18 by 2 to simplify


The answer is 1 7/9
first off, we change the mixed fraction to an "improper" fraction, and then multiply like we would any other fractions, so let's do so,

[tex]\bf \stackrel{mixed}{3\frac{1}{2}}\implies\cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}\\\\ -------------------------------\\\\ \cfrac{5}{9}\times 3\frac{1}{2}\implies \cfrac{5}{9}\times\cfrac{7}{2}\implies \cfrac{5\times 7}{9\times 2}\implies \cfrac{35}{18}\implies 1\frac{17}{18} \\\\\\ \textit{keep in mind that }1\frac{17}{18}\implies \cfrac{1\cdot 18+17}{18}\implies \cfrac{35}{18}[/tex]

!100! POINTS PLEASE HELP ME BRAINLIEST!!!!!!!!!!!!

Answers

This should be a basic system of equations problem
-------------
12x + 4y = 152
32x + 12y =420
-----------------------
First solve 12x + 4y = 152 for x
Add -4y to each side
12x+4y+-4y=152+-4y
12x=-4y+152
----------------------------
Divide each side by 12
12x ÷ 12 = [tex] \frac{-4y+152}{12} [/tex]
x = -1/3y + 38/3
============================================================
Substitute -1/3y + 38/3 for x in 32x+12y=420
32(-1/3y + 38/3)+12y=420
-------------
Simplify each side
4/3y + 1216/3 = 420
-------------------
Add -1216/3 on each side
4/3y + 1216/3 + -1216/3 = 420 + -1216/3
4/3y = 44/3
-------------------------
Divide each side by 4/3
4/3y ÷ 4/3 = 44/3 ÷ 4/3
y = 11
y = 11 is your answer

Answer:

y = 11 is your answer

Two buses leave the station traveling in opposite directions one going east and one going west the eastbound bus travels at 40 mph and the west bound bus travels at 65 mph if both buses leave the station at 10 AM at what time will they be 1260 miles apart

Answers

Answer:

  10 PM

Step-by-step explanation:

The combined speed of the two buses is ...

  40 mph + 65 mph = 105 mi/h

The relationship between distance, speed, and time can be written ...

  time = distance/speed

so the elapsed time until the buses cover the distance is ...

  time = (1260 mi)/(105 mi/h) = 12 h

___

12 hours after 10 AM is 10 PM.

The buses will be 1260 miles apart at 10 PM.

Abigails mom said she will be home from work in 65 minutes its 4:27 pm and abigail has dance practice at 6:00 pm. How much time will abigail have between the time that her mom gets home from work and the beginning of dance practice

Answers

she will have 28 minutes. 65 mins= 1 hour and 5 minutes. 1 he and 5 min+ 4:27= 5:32. 5:33 + 28=6:00.

The time that her mom gets home from work and the beginning of dance practice is 28 minutes.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, It is 4:27 pm and Abigail's mom said she will be home from work in 65 minutes.

Now 60 minutes from 4:27 pm is 5:27 pm and 5 minutes more is 5:32 pm.

Abigail has dance practice at 6:00 pm, So the time that her mom gets home from work and the beginning of dance practice is 28 minutes seems obvious.

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A class of 32 students shares a class set of 78 colored pencils. On a day with six students absent, which statement is true? A. For each student, there are 4 colored pencils. B. For each student, there are 3 colored pencils. C. For every 3 students, there is 1 colored pencil. D. For every 4 students, there is 1 colored pencil. I need help solving the problem

Answers

With six students absent, there are 26 students, so 78/26 = 3 colored pencils for each student.

Selection B is appropriate.

Susan been a total of $26 at the State Fair she's mad she spent 9 on food in the rest of the money susan spent on games,g.

Answers

the answer for this problem would be D. g+9 = 26
The answer is D, because she spent 9 on food and subsequently 15 on games.

Choose the correct simplification of (8x4y3)2. (5 points)

Answers

Not sure what your options are but if it is
(8x^4y^3)^2 the answer should be
64x^8y^6

Answer:

the person below is correct  64x8y6 is the right answer

Step-by-step explanation:

How are exponential functions related to logarithmic functions?
Model that with an example.

Answers

Exponential functions are related to logarithmic functions in that they are inverse functions. Exponential functions move quickly up towards a [y] infinity, bounded by a vertical asymptote (aka limit), whereas logarithmic functions start quick but then taper out towards an [x] infinity, bounded by a horizontal asymptote (aka limit).
If we use the natural logarithm (ln) as an example, the constant "e" is the base of ln, such that:
ln(x) = y, which is really stating that the base (assumed "e" even though not shown), that:
[tex] {e}^{y} = x[/tex]
if we try to solve for y in this form it's nearly impossible, that's why we stick with ln(x) = y
but to find the inverse of the form:
[tex]{e}^{y} = x[/tex]
switch the x and y, then solve for y:
[tex] {e}^{x} = y[/tex]
So the exponential function is the inverse of the logarithmic one, f(x) = ln x

Exponential and logarithmic functions are related in that they are inverses of each other.

Logarithmic functions and exponential functions are inverses of each other.

For instance, let [tex]log a = b[/tex]

In order to eliminate the logarithmic function, we will apply an exponential function ([tex]e[/tex])to both sides.

[tex]e^{loga} = e^b[/tex]

The exponential function will cancel out the logarithmic function since they are inverses of each other to give:

[tex]a = e^b[/tex]

This example shows the inverse relationship that exists between the logarithmic and exponential functions.

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If sec(x)=13/12 what is cos(x)?

Answers

recall that cosine is the reciprocal of secant, so is the same fraction, just upside-down.

Which of the following are the correct properties of slope A.If two lines have the same slope, then they are the same line. B.The slope of a line that moves up from left to right is positive. C.A steep line has negative slope. D.Some lines have an undefined slope. E.The slope of a line is always positive.

Answers

Answer:

B.The slope of a line that moves up from left to right is positive.

Step-by-step explanation:

Slope is the ratio of vertical change to horizontal change. If a line moves up as x-values increase, then the signs of both changes are positive, and the slope is positive. This observation matches selection B.

_____

Comments on other choices

If a line is vertical, it will exhibit a vertical change with no horizontal change. The denominator of the ratio for slope will be zero. Division by zero is undefined, so we say the slope of a vertical line is "undefined."

Lines with the same slope will be parallel, if they're not the same line.

A line that moves down to the right has a negative change in its vertical coordinate for a positive change in its horizontal coordinate. The ratio of changes will have a negative sign. So, the slope of a line that moves down to the right is negative, not positive.

Using the equation, y=10000(0.97)x predict the purchasing power of $10000 ten years later

Answers

 Using the equation, y= 10,000(0.97)^ , predict the purchasing power of $10,000 ten years later. 
$7374

Answer:

The purchasing power is $7374

Step-by-step explanation:

We are given an equation [tex]y=10000(0.97)^x[/tex]

where,  

y represents purchasing power.

x represents the number of years.

We need to find purchasing power of $10000 after 10 years.

Put x=10 into equation and solve for y

[tex]y=10000(0.97)^{10}[/tex]

[tex]y=7374.24\approx 7374[/tex]

After 10 years the purchasing power of $10000 becomes $7374

As we can see the value of the product decrease.

Hence, The purchasing power is $7374

Melissa estimated that she would read 250 Pages last week. she read 290 pages. What is the percent error of Melissa's estimate round to the nearest whole percent

Answers

estimate = 250
Actual = 290
Error = 290 - 250 = 40
Percentage error = 40/250 x 100 = 16% 

Answer:13.79

Step-by-step explanation: I put that answer and gt it wrong an dthe thing told me the answear was 13.79

Convert a length of 25.0 m to inches.
express your answer numerically in inches.

Answers

Answer:

  98.4 inches

Step-by-step explanation:

You want the length 25.0 meters expressed in inches.

Conversion

There are 0.254 m in an inch, so the distance d can be found from the proportion ...

  d/(25 m) = (1 in)/(0.254 m)

Multiplying by 25 m, we find ...

  d = 25/0.254 in ≈ 98.4252 in

The length is about 98.4 inches.

__

Additional comment

The value to convert is given to 3 significant figures. The conversion factor is exact. The answer is appropriately expressed using 3 significant figures.

You brought 1.5 dozen bagels to school. A dozen bagels cost $5.98. You used a coupon that took $1.00 off of the total. How much did you pay for the bagels?

Answers

Your total came to $7.97 for the bagels. Those are some expensive bagels

Answer:

You would pay $7.97 for your bagels!

is the sample valid? what percent of students prefer caramel popcorn?

Answers

Is the sample valid?
 First you must see if the number of students in the table corresponds to the number of students surveyed that was 75.
 We have then:
 33 + 15 + 27 = 75
 We have then that:
 The sample is valid.

 what percent of students prefer caramel popcorn? 
 We can make the following rule of three to answer this question:
 75 ---> 100%
 27 ---> x
 Clearing x we have:
 x = (27/75) * (100)
 x = 36%
 36% percent of students prefer caramel popcorn

The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $3, sales will reach 6000 Fun Noodles per day during the summer. Raising the price to $4 will cause the sales to fall to 5000 Fun Noodles per day.

a. Assume the the relationship between sales price, x, and number of Fun Noodles sold, y, is linear. Write an equation in slope-intercept form describing this relationship. Use ordered pars of the form (sales price, number sold).

The equation is?

b. Predict the daily sales of Fun Noodles if the price is $3.50.

? sales

? sales

Answers

PART A:
 The generic equation of the line is:
 y-yo = m (x-xo)
 First we look for the slope of the line:
 m = (y2-y1) / (x2-x1)
 m = ((5000) - (6000)) / (4-3)
 m = -1000
 Then, we substitute any point in the generic equation:
 (xo, yo) = (4, 5000)
 Substituting:
 y-5000 = (- 1000) (x-4)
 Rewriting:
 y = -1000x + 4000 + 5000
 y = -1000x + 9000
 The equation is:
 y = -1000x + 9000

 PART B: 
 For the price of 3.50 we have:
 y = -1000 * (3.5) +9000
 y = 5500

(a) The equation in slope-intercept form  for describing the relationship between sales price and quantity of the fun noodle is [tex]y=-1000x+9000[/tex].

(b) The daily sales of fun noodles is [tex]5500[/tex] when, the sales price is [tex]\$3.50[/tex].

(a) The general slope-intercept form of writing the equation of a line is [tex]y-y_1=m(x-x_1)[/tex] where, [tex]m[/tex] is the slope of the line.

According to the question,

[tex](x_1,y_1)\rightarrow (3,6000)[/tex] and [tex](x_2,y_2)\rightarrow (4,5000)[/tex]

Evaluate the value of the slope as-

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{5000-6000}{4-3}\\m=-1000[/tex]

Now, substitute the parameters in the equation [tex]y-y_1=m(x-x_1)[/tex]-

[tex]y-y_1=m(x-x_1)\\y-6000=-1000(x-3)\\y-6000=-1000x+3000\\y=-1000x+9000[/tex]

Hence, the equation in slope-intercept form  for describing the relationship between sales price and quantity of the fun noodle is [tex]y=-1000x+9000[/tex].

(b) Substitute [tex]x=\$3.50[/tex] in the slope-intercept equation  [tex]y=-1000x+9000[/tex] to evaluate the daily sales of fun noodles as-

[tex]y=-1000x+9000\\y=-1000(3.50)+9000\\y=-3500+9000\\y=5500[/tex]

Hence, the daily sales of fun noodles is [tex]5500[/tex] when, the sales price is [tex]\$3.50[/tex].

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This table shows the weekly rainfall, in inches, for two cities for ten weeks. City A 0.2 0 1.5 1.3 2.5 3 0.4 0.3 0.2 1 City B 0 0 0.4 0.2 0.3 1 1 1 0.1 0.1 Which conclusion can be drawn from the data?

WILL GIVE BRAINLISET

Answers

the choices for the question are as follows;
A. During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.
this is correct. rainfall of 1 inch was recorded on three days so it was the most often recorded rainfall. 

B. The range between the maximum and minimum values for City B is greater than the range between the maximum and minimum values for City A.
range for city A - 3 - 0 = 3
range for city B - 1- 0 = 1
this statement is incorrect as the range for city B is lesser than the range for city A.

C. For the ten weeks, City A received less rainfall, on average, than City B
the average rainfalls for;
City A - 1.04
city B - 0.41
city A received more rainfall on average than city B on average therefore this statement is incorrect.

D. The median for City A is less than the median for City B. 
city A - 0.7
city B - 0.25
median for city A is greater than median for city B therefore this statement is incorrect.

Therefore the conclusion that can be drawn from the data is During the 10 wk period, the rainfall amount recorded most often for City B was 1 in. - Statement A

Answer:

During the 10 wk period, the rainfall amount recorded most often for City B was 1 in

Step-by-step explanation:

Given this arithmetic sequence, find d. 3,_,_,15

Answers

[tex]a_1=3 \\ a_4=15 \\ \\ d= \frac{15-3}{4-1}= \frac{12}{3}=4 [/tex]

The answer is d=4

8.73e16 in simple form

Answers

8.73e16
= 8.73 x 10^16 ..............................scientific form 
= 87,300,000,000,000,000 ...........standard form

Solution:

we have been asked to write [tex]8.73e^{16}[/tex] in the simplest form.

This can be alternatively written as [tex]8.73*10^{16}[/tex]

And as we know that a number written in scientific notation can be re-written in the simple form by removing the "10 to the power" term by expanding the given number as below

[tex]8.73*10^{16}=8.73*1000,000,000,000,0000[/tex]

It can be further written by removing the decimal as below

[tex]8.73*10^{16}=87,300,000,000,000,000[/tex]

Hence the required simple form is 87,300,000,000,000,000


A square rug lies in the middle of a rectangular room. There are 7 feet of uncovered floor on 2 sides of the rug and 2 feet of uncovered floor on the other 2 sides. Find a polynomial expression for the area of the room in terms of x, the side length of the rug.

Answers

A = lw 


A=(x+10)(x+12) 


A=x²+22x+120

Polynomial expression of area of room in terms of x is A = x² + 9x + 14.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Area of rectangle(room) = Length × width

So,

A = (x + 7)(x + 2)

A = x² + 20x + 7x + 14

A = x² + 9x + 14

Hence "Polynomial expression of area of room in terms of x is A = x² + 9x + 14".

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Other Questions
12+34+23+9424482+398+42+489+92+12+3+423+1=? What is the most power in watts the ear can receive before the listener feels pain? While you are sleeping, approximately how much of the energy your cells use is derived from fats? (1) In New York, back in the nineteenth century, it was customary for politicians to host big events, called Beefsteaks, dedicated to the eating of beef. (2) They used the event to try to curry favor among the people and win their votes. (3) The organizers would rent an enormous hall. (4) People would sit down at long picnic tables. (5) The beef was always grilled tenderloin, brought straight from the grill. (6) In Australia they like to put shrimp on the grill. (7) The beef was then cut into small pieces and placed on a small piece of stale bread and served to the hungry guests. (8) Tradition dictated that no one ever ate the bread. (9) Rather, the bread was stacked on the table into towers as proof of how much beef has been consumed. (10) Also, there were no utensils allowed. (11) Everyone ate with their fingers, and washed down the beef with ale.(12) There was debate about whether any side dishes should be served. (13) Fried or baked potatoes, pickles, lamb, and even organ meats were served by some Beefsteaks. (14) Mostly, however, people just wanted beef. (15) After all, beef, it was expensive in those days and these events were all-you-can-eat.(16) Eventually in the twentieth century, when women could finally vote, the Beefsteak ceased to be an all-male event. (17) Later, the tradition faded away and survived only in a few union halls in Bergen and Passaic counties in northern New Jersey. (18) Today there is a Beefsteak revival in New York. (19) Not by politicians, but just by people who want to eat plenty of beef. In context, which is the best version of the underlined portion of the sentence reprinted below?After all, beef, it was expensive in those days and these events were all-you-can-eat.After all the beef, those days were expensiveIt, all the beef, was expensive in those daysAfter all, it was expensive in those daysAfter all beef, it was expensive in those daysAfter all, beef was expensive in those days The prefix nano- in the word nanoparticles means . Which of the following sentences would need to use the subjunctive mood when translated into Spanish? I know that she will come.It's true that she will come.It's certain she will come.It's doubtful she will come. Pablo: No. No recib nada de ella. y ____________? Five hummingbirds drink 7.5 ounces of sugar water a day. How much sugar water is needed for 14 hummingbirds? Fred pays 2/5 of his annual salary in federal, state, and local taxes. His annual salary is 102,000. How much of his salary does he get to keep after taxes are paid? 1) $61,000 2) $72,300 3) $61,200 4) $94,900 Economic sector that deals with the extraction of raw materials from the environment. Which of the binomials below is a factor of this trinomial? 3x2 + 18x + 24 A.x + 4 B.x - 4 C.x - 3 D.x + 3 Which is a correct way of evaluating the expression 25x + 40x for x = 4? Simon's water cooler can hold up to 4.2 gallons of water in it. Simons fills the cooler so that there is water in all but 25% of the cooler. How much more water would Simon need to add to fill the entire 100% of the cooler?A 1.05 gallonsB 3.95 gallonsC 3.15 gallonsD 1.7 gallons Which of the following usually occurs during a story's conclusion?A.The tension lessens.B.The story reaches its peak.C.The suspense increases.D.The conflict develops. Which specific attribute of a team player helps remove ambiguity from tasks? Which character is the antagonist in this excerpt from The Story of the Old Man Who Made Withered Trees to Flower by Yei Theodora Ozaki?After waiting several days, as the dog Shiro did not return, his master began to grow anxious. Day after day went by and the good old man waited in vain. Then he went to his neighbor and asked him to give him back his dog. Without any shame or hesitation, the wicked neighbor answered that he had killed Shiro because of his bad behavior. At this dreadful news Shiros master wept many sad and bitter tears. Great indeed, was his woeful surprise, but he was too good and gentle to reproach his bad neighbor. Learning that Shiro was buried under the yenoki tree in the field, he asked the old man to give him the tree, in remembrance of his poor dog Shiro.Even the cross old neighbor could not refuse such a simple request, so he consented to give the old man the tree under which Shiro lay buried. Shiros master then cut the tree down and carried it home. Out of the trunk he made a mortar. In this his wife put some rice, and he began to pound it with the intention of making a festival to the memory of his dog Shiro.Shiros masterShirothe neighborthe masters wife How could you rewrite sentence 2 to include a nonrestrictive element? My father picked me up because he was my instructor for the day. My father, my instructor for the day, picked me up. My father who was my instructor for the day, picked me up. My father, also my instructor picked me up. Cul de estas oraciones es correcta?A.Juan se lav el carro anoche.B.Juan se lav el cuerpo anoche.C.Juan lav el cuerpo anoche.D.Juan lava el carro anoche. QUIZ: JANE EYRE CHAPTERS 11-38Utter it, Jane: but I wish that instead of a mere inquiry into, perhaps, a secret, it was a wish for half my estate." "Now, King Ahasuerus! What do I want with half your estate? (chapter 24) Which of the following best describes the meaning of the allusion to King Ahasuerus?A) That Jane does not expect to share Rochester's wealth equally.B) That Rochester has an unstable personality.C) That Jane values virtue and justice over wealth.D) That Rochester's destiny is in Jane's hands. How did italy's location help it become the birthplace of the renaissance?