Determine the intervals on which the function is increasing, decreasing, and constant.

A. Increasing x>0; Decreasing x<0

B. Decreasing on all real numbers

C. Increasing on all real numbers

D. Increasing x<0; Decreasing x>0

Determine The Intervals On Which The Function Is Increasing, Decreasing, And Constant. A. Increasing

Answers

Answer 1

Answer:

Option A, increasing x>0; decreasing x<0


Related Questions

work out the surface area of this solid quarter cylinder in terms of pi. r 10cm.h 16​

Answers

9514 1404 393

Answer:

  (320 +130π) cm²

Step-by-step explanation:

The perimeter of the base will be the sum of two radii and the arc length of a quarter circle:

  P = 2r +r(π/2) = r(2+π/2)

For a radius of 10 cm, the perimeter of the base is ...

  P = (10 cm)(2+π/2) = (20+5π) cm

The lateral area of the quarter-cylinder is the product of this perimeter and the height:

  LA = Ph = ((20 +5π) cm)(16 cm) = (320 +80π) cm²

__

The total base area is the area of a half-circle of radius 10 cm, so is ...

  BA = 1/2πr² = (1/2)π(10 cm)² = 50π cm²

The total surface area is the sum of the base area and the lateral area:

  SA = BA +LA = (50π +(320 +80π)) cm² = (320 +130π) cm²

Expand -11(5-p) can someone answer that please

Answers

Answer:

-55 +11p

Step-by-step explanation:

-11(5-p)

Distribute

-11*5 -11*(-p)

-55 +11p

I need help with this ​

Answers

Answer:

C

Step-by-step explanation:

In the graph given, we can expect the x axis to be horizontal and the y axis to be vertical. This means that the arm span represents y and the height represents x.

Therefore, if a girl on her team is 63 inches tall, we can say that y=x+2, and since height is x, y = 63 + 2 = 65

Nicole was shopping at a local department store and had a budget of $60. She was
buying shorts (s) priced at $10 and t-shirts (t) priced at $8. She was heading to the
checkout stand when she saw a sign that said all t-shirts are 40% off. Write and simplify
an equation that Nicole could use to find the possible combinations of shorts and t-shirts
she could buy for $60.

Answers

Answe YEAH BOIIIIII!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

1. The equation of a circle is x^2 + y^2 + 6x - 4y + 4 = 0. What are the center and the radius of the circle? Show ALLLLLL your work

Answers

Answer:

(2, -3) and r = 3.

Step-by-step explanation:

you can also plug this equation in desmos but I guess it's good to know how to do it also:

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

Now in order to make a perfect square on both sides, we need to do this:

First add 9 to both sides:

x^2 + 6x + 9 + y^2 -4y +4 = 9.

I purposely shifted it to show the perfect square created when you add 9 to both sides. Factor:

(x+3)^2 + y^2 - 4y + 4 = 9.

now the second bolded part is allso a perfect square. Factor:

(x+3)^2 + (y-2)^2 = 9

Based on the equation of a circle, the center must be at (2, -3) and the radius is the square root of 9 which is 3.

:)

relative extrema of f(x)=(x+3)/(x-2)

Answers

Answer:

[tex]\displaystyle f(x) = \frac{x + 3}{x - 2}[/tex] has no relative extrema when the domain is [tex]\mathbb{R} \backslash \lbrace 2 \rbrace[/tex] (the set of all real numbers other than [tex]2[/tex].)

Step-by-step explanation:

Assume that the domain of [tex]\displaystyle f(x) = \frac{x + 3}{x - 2}[/tex] is [tex]\mathbb{R} \backslash \lbrace 2 \rbrace[/tex] (the set of all real numbers other than [tex]2[/tex].)

Let [tex]f^{\prime}(x)[/tex] and [tex]f^{\prime\prime}(x)[/tex] denote the first and second derivative of this function at [tex]x[/tex].

Since this domain is an open interval, [tex]x = a[/tex] is a relative extremum of this function if and only if [tex]f^{\prime}(a) = 0[/tex] and [tex]f^{\prime\prime}(a) \ne 0[/tex].

Hence, if it could be shown that [tex]f^{\prime}(x) \ne 0[/tex] for all [tex]x \in \mathbb{R} \backslash \lbrace 2 \rbrace[/tex], one could conclude that it is impossible for [tex]\displaystyle f(x) = \frac{x + 3}{x - 2}[/tex] to have any relative extrema over this domain- regardless of the value of [tex]f^{\prime\prime}(x)[/tex].

[tex]\displaystyle f(x) = \frac{x + 3}{x - 2} = (x + 3) \, (x - 2)^{-1}[/tex].

Apply the product rule and the power rule to find [tex]f^{\prime}(x)[/tex].

[tex]\begin{aligned}f^{\prime}(x) &= \frac{d}{dx} \left[ (x + 3) \, (x - 2)^{-1}\right] \\ &= \left(\frac{d}{dx}\, [(x + 3)]\right)\, (x - 2)^{-1} \\ &\quad\quad (x + 3)\, \left(\frac{d}{dx}\, [(x - 2)^{-1}]\right) \\ &= (x - 2)^{-1} \\ &\quad\quad+ (x + 3) \, \left[(-1)\, (x - 2)^{-2}\, \left(\frac{d}{dx}\, [(x - 2)]\right) \right] \\ &= \frac{1}{x - 2} + \frac{-(x+ 3)}{(x - 2)^{2}} \\ &= \frac{(x - 2) - (x + 3)}{(x - 2)^{2}} = \frac{-5}{(x - 2)^{2}}\end{aligned}[/tex].

In other words, [tex]\displaystyle f^{\prime}(x) = \frac{-5}{(x - 2)^{2}}[/tex] for all [tex]x \in \mathbb{R} \backslash \lbrace 2 \rbrace[/tex].

Since the numerator of this fraction is a non-zero constant, [tex]f^{\prime}(x) \ne 0[/tex] for all [tex]x \in \mathbb{R} \backslash \lbrace 2 \rbrace[/tex]. (To be precise, [tex]f^{\prime}(x) < 0[/tex] for all [tex]x \in \mathbb{R} \backslash \lbrace 2 \rbrace\![/tex].)

Hence, regardless of the value of [tex]f^{\prime\prime}(x)[/tex], the function [tex]f(x)[/tex] would have no relative extrema over the domain [tex]x \in \mathbb{R} \backslash \lbrace 2 \rbrace[/tex].

Which of the following equations expresses the relationship between x and y in the table below ?

Answers

the answer is y = 3x + 5
explanation : if you substitute the x in the equation for 0 and the y for 5 then solve/simplify. if you’re still not sure you can try the next one and substitute x for 2 and y for 11. you’ll see that y and x will equal each other. hope this helps:)

Answer:

y = 3x + 5

Step-by-step explanation:

just by going through the options and plugging in values from the chart, you can guess and check

y = 3x + 5 is the only answer that works

5 = 0 + 5

11 = 6 + 5

23 = 18 + 5

etc.

hope this helps!

How to divide 6,558 by 4 in long division

Answers

This is the solution to your question.

the following 3 shapes are made up of square, circles, and semi circles. Find the Area and perimeter of the shaded area. Write your answer as a completely simplified exact value in terms of pi

Answers

Answer:

Perimeter = 18 + 9pi

Area = 81 - 20.25*pi

Step-by-step explanation:

Perimeter = 9 + 9 + 2(2 pi r)/2     The twos cancel out.

Perimeter = 18 + 9*pi

Area of the square = 9 * 9 = 81 cm^2

Area of the 2 semicircles = 2 * pi * r^2/2

r = d/2

d = 9

r = 9/2 = 4.5

Area of the 2 semicircles = 2 (pi * 4.5^2)/2

Area of the 2 semicircles = 20.25 pi

Area of the blue figure = 81 - 20.25 pi

1. Suppose you have a variable X~N(8, 1.5). What is the probability that you have values between (6.5, 9.5)

Answers

Answer:

0.6826 = 68.26% probability that you have values in this interval.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

X~N(8, 1.5)

This means that [tex]\mu = 8, \sigma = 1.5[/tex]

What is the probability that you have values between (6.5, 9.5)?

This is the p-value of Z when X = 9.5 subtracted by the p-value of Z when X = 6.5. So

X = 9.5

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

[tex]Z = \frac{9.5 - 8}{1.5}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.8413.

X = 6.5

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

[tex]Z = \frac{6.5 - 8}{1.5}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that you have values in this interval.

A pizza is to be cut into fifths. Each of these fifths is to be cut into thirds. What fraction of the pizza is each of the final pieces?

Answers

Answer:

3/5

Step-by-step explanation:

If a pizza was able to cut into fifths
each piece would count as 1/5
and for fifths to be cut into thirds it would be 1/15s

1/5 divided by 1/3 = 3/5

Hope this helps

How many terms are in 2(a^3)b - 2a(b^3) + (a^2)b - b^3

Answers

Answer:

2

Step-by-step explanation:

Identify a pattern in the given list of numbers. Then use this pattern to find the next number.​ (More than one pattern might​ exist, so it is possible that there is more than one correct​ answer.)
​27,-9 ​,3 ​,-1 ​,___

Answers

It’s being divided by -3, so that means the next number is 1/3, or one third
Answer:
Divide by - 3
Step-by-step explanation:

The given list of numbers isn’t provided but the pattern will be divided by - 3

Two camp counselors take 5 kids to the movies and sit in a row of 7 seats. if the counselors must sit in consecutive seats (in either order), how many seating arrangements are possible?

Answers

Answer:

the total number of arrangements possible is 1,440 ways

Step-by-step explanation:

Given;

total number of kids = 5

total number of counselors, = 2

Since the counselors must sit together in any order, first treat them as a single option. This gives 6! possible arrangements for all the participants.

Also, If they can sit in any order, then the total possible arrangements = 2(6!)

                                            = 2( 6 x 5 x 4 x 3 x 2 x 1)

                                            = 1,440 ways

Therefore, the total number of arrangements possible is 1,440 ways

Seating arrangement is unique way in which people can sit. The number of seating arrangements possible in this case is 2520

What is the rule of product in combinatorics?

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex]  ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

How to find the number of seating arrangements?

In such situations, we need to model the situation with the view point which can be evaluated mathematically.

For give case, we can see that there are in total 7 seats. And 5 kids are to sit on them, with 2 camp counselors.

So 7 people have to sit on 7 seats.

But it is given that two counselors must sit together.

Now firstly, two counselors can choose 2 seats out of 7 seats in [tex]^7C_2 = \dfrac{7 \times 6}{2 \times 1} = 21[/tex] ways.

Then , in the rest of the 5 seats, 5 kids can arrange themselves in 5! ways(using permutations).

We have:

[tex]n! = n \times (n-1) \times (n-2) \times ... \times 2 \times 1\\\\5! =5\times 4\times 3\times 2\times 1 = 120[/tex]

Since each of this 120 arrangement is for each of 21 ways of counselors sitting, thus, there are 120 times 21 ways of those 7 people to sit (using rule of product), or total [tex]120 \times 21 = 2520[/tex]

Thus,

The number of seating arrangements possible in this case is 2520

Learn more about seating arrangements here:

https://brainly.com/question/13605688

A clients rash measures 5cm x 4cm how much does this measure in inches

Answers

Given:

A clients rash measures 5 cm × 4 cm.

To find:

The measure in inches.

Solution:

We know that,

2.54 cm = 1 inch

1 cm [tex]=\dfrac{1}{2.54}[/tex] inch

1 cm [tex]\approx 0.3937[/tex] inch

Using this conversion, we get

5 cm [tex]=5\times 0.3937[/tex] inches

5 cm [tex]=1.9685[/tex] inches

4 cm [tex]=4\times 0.3937[/tex] inches

4 cm [tex]=1.5748[/tex] inches

Therefore, the measure in inches is 1.9685 inches × 1.5748 inches.

Integration 4t√t+adt

Answers

Answer:

Step-by-step explanation:

Integration (4t√t+a)dt

[tex]\int \left ( 4 t\sqrt t +a \right )dt\\\\=\int\left ( 4 t^{(\frac{3}{2})} +a\right ) dt\\\\= 4\times 2\times \frac{t^{\frac{5}{2}}}{5} + a t\\\\= 8 \frac{t^{\frac{5}{2}}}{5} + a t[/tex]

2. The two equal sides of an isosceles triangle each have a length of 4x + y - 5. The perimeter of the triangle is
10x + 4y - 18. Determine the length of the third side. Explain how you found your answer. (4 marks)

Answers

9514 1404 393

Answer:

  2x +2y -8

Step-by-step explanation:

If the equal sides are 'a' and the third side is 'b', then the perimeter is ...

  P = a +a +b = 2a +b

The length of the third side is then ...

  b = P -2a . . . . . . subtract 2a from both sides

Substituting the given expressions, we find ...

  b = (10x +4y -18) -2(4x +y -5)

  b = 10x +4y -18 -8x -2y +10

  b = 2x +2y -8 . . . . the length of the third side

uppose cattle in a large herd have a mean weight of 1158lbs and a standard deviation of 92lbs. What is the probability that the mean weight of the sample of cows would differ from the population mean by less than 12lbs if 55 cows are sampled at random from the herd

Answers

Answer:

Hence the probability that the mean weight of the sample of 55 cows would differ from the population mean by less than 12 lbs is 0.66545.

Step-by-step explanation:

Leo is running in a 5-kilometer race along a straight path. If he is at the midpoint of the path, how many kilometers does he have left to run?

Answers

Answer:

2.5 km left

The midpoint is half of 5, which is 2.5, so he'll still have 2.5 km left to complete

A study by researchers at a university addressed the question of whether the mean body temperature of an animal is 98 6°F Among other data, the researchers obtained the body temperatures of 109 healthy animals. Suppose you want to use those data to decide whether the mean body temperature of healthy animals is less than 98.6°F.

Required:
a. Determine the null hypothesis
b. Determine the alternative hypothesis

Answers

Answer:

H0 : μ ≥ 98.6

H1 : μ < 98.6

Step-by-step explanation:

The population mean temperature, μ = 98.6

The null hypothesis takes up the value of the population mean temperature as the initial truth ;

The alternative hypothesis on the other hand is aimed at using a sample size of 109 to establish if the mean temperature is less than the population mean temperature.

The hypothesis ;

Null hypothesis, H0 : μ ≥ 98.6

Alternative hypothesis ; H1 : μ < 98.6

leave your answer in simplified radical form.

Answers

Answer:

The .jpeg file is the answer. Others are formulas that I use to solve.

Verify if : (-30) x ( 13.+ (-3)] =[(-30) x 13] + [(-30) (-3)] ​

Answers

The answer is:
T= 10/13

For a certain company, the cost for producing x items is 40x+300 and the revenue for selling x items is 80x−0.5x2. The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit!



Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)



Part b: Find two values of x that will create a profit of $300.



The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x−1). The order of the list does not matter. To enter a−−√, type sqrt(a).

Part c: Is it possible for the company to make a profit of $15,000?

Answers

Answer:

The profit is maximum when x = 40.

Step-by-step explanation:

Cost function, C = 40 x + 300

Revenue function, R = 80 x - 0.5 x^2

The profit function is

[tex]P = R - C\\\\P = 80 x - 0.5 x^2 - 40 x - 300\\\\P = - 0.5 x^2 + 40 x - 300\\\\\frac{dP}{dx} = - x + 40\\\\So, \frac{dP}{dx} = 0\\\\-x + 40 = 0 \\\\x = 40[/tex]

So, the profit is maximum when x = 40 .

Wich is equivalent to 64^1/4.

Answers

Answer:[tex]2\sqrt[4]{4}[/tex]

Step-by-step explanation:

[tex]64^{\frac{1}{4} }= \sqrt[4]{64}=\sqrt[4]{(2)(2)(2)(2)(4)}=2\sqrt[4]{4}[/tex]

A test is divided into 4 sets of problems with the same number pf problems in each set. Alice correctly solves 35 problems. How many problems are on the test if Alice solved more than 60 percent of all the problems, but less than 65 percent of all problems? Give all possible answers.

Answers

Answer:

54, 55, 56, 57, 58

Step-by-step explanation:

Answer:

56 problems

Step-by-step explanation:

Set up an equation.

[tex]\frac{3}{5}x<35<\frac{13}{20}x[/tex]

Why do we do this? We are told that she solved MORE than 60%, or [tex]\frac{3}{5}[/tex], and LESS than 65%, or [tex]\frac{13}{20}[/tex]. Therefore, if we set the TOTAL number of problems to x, we have an equation we can solve.

[tex]\frac{3}{5}x<35<\frac{13}{20}x\\[/tex]

Multiply all parts of the inequality by 20 to get rid of the denominators.

[tex]20*\frac{3}{5}x<20*35<20*\frac{13}{20}x\\ \\12x<700<13x[/tex]

Now we can solve TWO individual inequalities to isolate the x variable.

[tex]12x<700\\x<\frac{700}{12}\\x < 175/3\\x<58[/tex]

We can approximate 175/3 to about 58 (rounding down). We will sometimes round down when we have to deal with whole numbers.

The second inequality is as follows.

[tex]13x>700\\x>700/13\\x>53[/tex]

Therefore, we can combine the two inequalities.

[tex]53<x<58[/tex]

There were in between 53 and 58 questions. Since the number of questions must be a whole number, there can be 54, 55, 56, 57, OR 58. Why does 58 also work? When you plug 58 back into the original equation, you get that it STILL works. This is due to the fact that inaccuracies in computations allow you to round UP.

However, the last thing to keep in mind is that there are four sections with an equal number of questions. Meaning, the final answer has to be a multiple of four. The only multiple of 4 is 56; therefore, the final answer is 56.

Deandre can paint a small room in 6 hours. Deandre and Casey together can paint the same room in 4 hours. How long would it take for Casey to paint the room alone? Express your answer as a decimal. If necessary, round to the nearest tenth of hour.

Answers

Answer:

Step-by-step explanation:

If D can paint the room in 6 hours, in 1 hour she gets [tex]\frac{1}{6}[/tex] of the room painted;

If C can paint the room in x hours, in 1 hour she gets [tex]\frac{1}{x}[/tex] of the room painted.

It takes 4 hours to paint it together. Setting up the classic work equation gives us

[tex]\frac{1}{6}+\frac{1}{x}=\frac{1}{4}[/tex] and we need to solve for x. Multiply everything through by the LCM which is 12x:

[tex]12x(\frac{1}{6}+\frac{1}{x}=\frac{1}{4})[/tex] making our equation simplify to

2x + 12 = 3x and solve for x:

12 = x

C can paint the room alone in 12 hours.

Dodi bicycles 14mph with no wind. Against the wind, Dodi bikes 10mi in the same time it takes to bike 20mi with the wind. What is the speed of the wind?

Answers

Answer:

4.67 mph

Step-by-step explanation:

Speed with no wind = 14 mph

Let wind speed = w mph

Thus;

Speed with wind = 14 + w

Speed against the wind = 14 - w

Now, we are told that against the wind he bikes 10 miles.

Thus, from; time = distance/speed, we have;

Time = 10/(14 - w)

Also, we are told he biked 20 miles with the wind. Thus;

Time = 20/(14 + w)

We are told the times he used in both cases are the same.

Thus;

10/(14 - w) = 20/(14 + w)

Divide both sides by 10 to get;

1/(14 - w) = 2/(14 + w)

Cross multiply to get:

1(14 + w) = 2(14 - w)

14 + w = 28 - 2w

w + 2w = 28 - 14

3w = 14

w = 14/3

w = 4.67 mph

the surface area of three dimonsensed face is the sum of all the the surface areas of each of the face given below are the nets of some solid derive the formula for calculating its curved surface area and total surface area
Please answer the question it's very urgent​

Answers

Answer:

cylinder:

curved sa = 2πrh

=> rectangle, breath = h, width = perimeter of circle =  2πr

total sa = 2πrh+2πr^2

=> curved sa + area of 2 circles

cone:

curved sa = πrl

=> treated as a triangle, base = circumference of circle, height = slant height

total sa = πr^2+πrl

=> curved sa + area of base (circle)

If f(x) = x³ - 2, find f(3)

Answers

Answer:

25

Step-by-step explanation:

Assuming the equation is f(x) = x³ - 2

Plug in 3 for x

f(3) = 3³-2

= 27-2

=25

Answer:

25!

I hope it's helpful

Work out the length x. 14 cm 7 cm Х​

Answers

Answer:

If you want the area of something with the sides 14cm and 7cm then it would be 98 cm.

Step-by-step explanation:

Area = length * width

Area = 14 cm * 7 cm

Area = 98 cm

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Which of the following is the number of sides for a regular polygon that willnot form a regular tessellation?A. 6B. 4C. 7D. 3 What is the second integral of [tex] \frac{1}{x} [/tex]? arrange the resistance r1 r2 and r3 in increasing order. 5. Find the area of the shaded part in this figure. A state of economic scarcity exists when consumers: A. do not have enough resources to satisfy all of their wants.B. save their money in banks instead of spending it. C. borrow too much money to buy unnecessary products. D. have their economic freedoms restricted by the government. The following refers to units processed by a breakfast cereal maker in August. Compute the total equivalent units of production with respect to conversion for August using the weighted-average inventory method. Tons of Product Percent of Conversion Added Beginning Work in Process 230,000 60%Goods started 570,000 100%Goods completed 620,000 100Ending Work in Process 180,000 70%a. 758,000b. 800,000c. 620,000d. 746,000 Cox Engineering performs cement core tests in its laboratory. The following standards have been set for each core test performed:Standard Hours or Quantity or Rate Standard PriceDirect materials 3 pounds $0.75 per poundDirect labor 0.4 hours $12 per hourVariable manufacturing overhead 0.4 hours $9 per hourDuring March, the laboratory performed 2,000 core tests. On March 1 no direct materials (sand) were on hand. Variable manufacturing overhead is assigned to core tests on the basis of standard direct labor-hours.The following events occurred during March:[1] 8,600 pounds of sand were purchased at a cost of $7,310.[2] 7,200 pounds of sand were used for core tests.[3] 840 actual direct labor-hours were worked at a cost of $8,610.[4] Actual variable manufacturing overhead incurred was $3,200.REQUIRED: (NOTE: You must show your computations)(a) The materials price variance for March is:(b) The materials quantity variance for March is:(c) The labor rate variance for March is:(d) The labor efficiency variance for March is:(e) The variable overhead efficiency variance for March is: Omg who can help me? Its due tomorrow Based on how they each acted to the trials,witch substance (s)would most likely be metallic Which area appears only on the posterior part of the body? a)scapular b)patellar c)umbilical d)sternal D. He no longer thinks about her. Can you do this question? A particular strain of bacteria triples in population every 45 minutes Assuming you start with 50 bacteria in a Petri dish how many bacteria will there be in 4.5 hours Noelle has containers that each hold one gallon of liquid. She used these containers to dispose of waste from the chemistry laboratory. She collected 3 quarts 1 pint of liquid from the first table, 4 quarts from the second table, 2 quarts from the third table , and 3 quarts 1 pint from the fourth table. What is the least number of containers Alyssa needed to collect the waste ? ( 4 quarts = 1 gallon , 2 pints = 1 quart ) Please help 50 points! Maricopa's Success scholarship fund receives a gift of $ 160000. The money is invested in stocks, bonds, and CDs. CDs pay 4.5 % interest, bonds pay 5.8 % interest, and stocks pay 8.4 % interest. Maricopa Success invests $ 15000 more in bonds than in CDs. If the annual income from the investments is $ 10450 , how much was invested in each account What is the most effective method interest groups have for achieving their legislative and judicial goals If the length of a leg of a right triangle is 25 and the length of the hypotenuse is 35, what's the length of the other leg, to the nearest tenth? Are human beings lazy...if yes give reasons Sue, Jane, and Alice share 213 paper clips equally among themselves. if Alice gives 24 paper clips to Sue, how many paper clips does Sue have altogether?