pls help questions 5-7

Pls Help Questions 5-7

Answers

Answer 1

Answer: 0.032, 18, 4224, 7.58

Step-by-step explanation:

5. 5 L = 5000 mL = 5000 [tex]cm^{3}[/tex]

5000/(6*6*6) = 23 r 32 so 5 L of water can fill up 23 cubic tanks length 6 cm and is left with 0.032 L

6. There is (13 - 11) x 20 x 10 = 400 [tex]cm^{3}[/tex] left unoccupied in the box

400/23 = 17.4 so it takes 18 balls to overflow the water

7. 1 mL = 1 [tex]cm^{3}[/tex]

(a) 22 x 12 x 16 = 4224 [tex]cm^{3}[/tex] = 4224 mL

(b) 2 L = 2000 mL = 2000 [tex]cm^{3}[/tex]

22 x 12 = 264

2000/264 = 7.58 cm


Related Questions

pls help summer hw hurts my brain

Answers

Answer:

1. (3, 1)
2. (4, 4)
3. No solution

Hope this helps!

Answer:

1) (3,1)

2) (4,1)

3) No solution

Step-by-step explanation:

The solution is point where the graphs cross.  It is a little hard to see the pictures, but I think that I have the right ordered pairs.  The ordered pairs are in the order (x,y).  The x tells you how far (in these cases), the point is right of the origin (0,0 the middle of the whole graph).  The y tells us (in these cases) how high the point is from the origin (0,0).

The last answer has no solution because the lines are parallel and they do not cross.

( a^5 ⋅ 2^3 )^3 = ?
Please help and explain.

Answers

Answer: [tex]512a^{15}[/tex]

Step-by-step explanation:

[tex](a^5*2^3)^3[/tex]

First, lets solve the inside of the parenthesis

[tex](a^5*8)^3[/tex]

Now, distribute the power of 3 to both terms. Remember taking a power of an exponent is like multiplying them (in this case [tex](a^5)^3=a^{15}[/tex]

[tex]a^{15}*512[/tex]

Simplify

[tex]512a^{15}[/tex]

Q2. A train travels at a constant speed of 45 m/s. a) Calculate the distance travelled by the train in:
i) 30 s
ii) 2 minutes.​

Answers

the train travels at 45 meters per each second

this question can be rewritten into the equation d = 45t, where d represents the distance traveled and t represents the time elapsed.

we are given two seperate times, so we can replace the variable t with each respective time. this leaves us with only one missing variable, so we can successfully isolate to find the other.

for i), we substitute t for 30 seconds, shown as follows

d = 45t

d = 45(30)

d = 1350m

for ii), we know that there are 60 seconds in every minute, so in multiplying 60 seconds by two we get the total amount of seconds in two minutes, which is 120.

we can now use 120 to substitute t in our equation

d = 45t

d = 45(120)

d = 5400m

hope this helps!!

Answer:

i) 1350 m

ii) 5400 m

Step-by-step explanation:

To calculate the distance traveled by the train, we can use the formula:

[tex]\large\boxed{\sf Distance=Speed \times Time}[/tex]

[tex]\hrulefill[/tex]

Question (i)

Given values:

Speed = 45 m/s (meters per second)Time = 30 seconds

Substitute the given values into the formula for distance:

[tex]\begin{aligned}\sf Distance&= \sf 45\; m/s \times 30\;s\\& = \sf 1350\:m\end{aligned}[/tex]

Therefore, the train travelled a distance of 1350 meters in 30 seconds.

[tex]\hrulefill[/tex]

Question (ii)

Given values:

Speed = 45 m/s (meters per second)Time = 2 minutes

As the time is given in a different unit of time than the speed, we must first convert the time into seconds. As 1 minute = 60 seconds, then:

[tex]\sf 2\; minutes = 60 \;s \times 2 = 120 \;s[/tex]

Substitute the given values into the formula for distance:

[tex]\begin{aligned}\sf Distance&= \sf 45\; m/s \times 120\;s\\& = \sf 5400\:m\end{aligned}[/tex]

Therefore, the train travelled a distance of 5400 meters in 2 minutes.

A circle is shown. The shelf is represented by a chord and the brace goes from the chord to to a point on the circle. The brace line is extended up to form a diameter.

Custom drapes are being fitted for a large circular window. It is difficult to get these measurements, but the window has an 8 ft horizontal shelf with a 2 ft brace that sits in the frame. If the brace is extended upward, it would go through the center of the shelf and the circle. What is the diameter of the window?

Diameter = feet

Answers

The length of the diameter formed is in the image given is: 10 ft.

What is a Diameter of a Circle?

The diameter of a circle is the line segment that divides the circle into two equal halves. The diameter divides the circle into semicircles. Also, the diameter of a circle is twice the length of the radius of a circle.

If we know the length of the radius, we can determine the length of the diameter of a circle by multiplying the radius by two. On the other hand, if we know the length of the diameter, to find the length of the radius, divide the diameter by 2.

The image of the circle showing the shelf and the brace line, which is the diameter are shown below.

To find the diameter of the window, add the length of the horizontal shelf and length of the brace. Thus:

Length of the diameter of the window = 8 + 2

Length of the diameter of the window = 10 ft

Thus, the length of the diameter formed is: 10 ft.

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Answer:

10 ft

Step-by-step explanation:


BC is tangent to circle A at point B.


Find m/CAB if m/ACB=62".


Enter your answer in the box.


m/CAB

Answers

Answer:

ACB=90-62

ACB=28

Therefore we say CAB is 28.

Answer:

28

Step-by-step explanation:

Tangent is a line that touches the circle at one point and is perpendicular to the radius. Circle A has radius AB and tangent CB, so AB is perpendicular to CB. Therefore triangle ABC is a right angle, with angle B measuring 90 degrees. Since interior angles of a triangle add up to 180 degrees, measure of angle A is 180 - 90 - 62 = 28 degrees.

please answer my question

Answers

Considering the box-plots, the means for the data-sets are given as follows:

Data-set A: 5.5Data-set B: 5.

What does a box-plot shows?

Each shows the number of times each measure appears.

Hence, the mean of data-set A is given as follows:

mA = (3 + 4 x 3 + 5 x 2 + 6 x 2 + 7 x 3 + 8)/(1 + 3 + 2 + 2 + 3 + 1) = 5.5.

For data-set B, the mean is:

mB = (2 x 4 + 2 x 5 + 2 x 6)/(2 + 2 + 2) = 5.

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2. (01.01 LC)
Which of the following is a defined term? (6 points)
Angle
Line
Point
Plane

Answers

Answer:

is there a picture I can look at?

Answer: Line

Step-by-step explanation:

What is the area of the parallelogram shown above

Answers

The area of the parallelogram is 55 square feet

How to determine the area of the parallelogram?

From the figure, we have the following dimensions:

Height = 5 ft

Base = 11 ft

The area of the parallelogram is calculated as:

Area = Base * Height

This gives

Area = 5ft * 11ft

Evaluate the product

Area = 55 square feet

Hence, the area of the parallelogram is 55 square feet

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130 The perimeter of the sector is 1m. Find the length of y, the radius of the circle.

Answers

Answer: 16.63 cm

Step-by-step explanation:

The length of the arc = [tex]\frac{360-130}{360}[/tex] * 2[tex]\pi[/tex]y = [tex]\frac{23}{18}[/tex][tex]\pi[/tex]y

The perimeter = [tex]\frac{23}{18}[/tex][tex]\pi[/tex]y + y + y = y([tex]\frac{23}{18}[/tex][tex]\pi[/tex] + 1 + 1) = 6.01y = 1 m

y = 16.63 cm

Find the surface area of the prism.

Answers

First find the areas of the rectangular pieces: 8x8=64, 64x3= 192
The find the area of the triangles: 8x6= 48
Then add to get an area of 240 yd^2

Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total employee benefits are _____% of his gross pay.
a.
4.9
b.
8.5
c.
14.6
d.
17.1

Answers

The equation be x/100 [tex]*[/tex] 28,600 = 33,500, then we get 17%.

Trevor's total employee benefits exists 17.1% of his gross pay.

Therefore, the correct answer is option d. 17.1.

How to find Trevor's total employee benefits?

If you would like to know Trevor's total employee advantages, you can estimate this utilizing the subsequent steps:

To find the percentage of the total employee benefits x% of $28,600 exists $33,500.

To estimate the value of x, bring the variable to the left side and bring all the remaining variables to the right side. Simplify the values to estimate the result.

x/100 [tex]*[/tex] 28,600 = 33,500

x = 33,500 [tex]*[/tex] 100 / 28,600

x = 117.13% = 117%

117% - 100% = 17%

x = 17%

The correct result would be 17%.

Trevor's total employee benefits exists 17.1% of his gross pay.

Therefore, the correct answer is option d. 17.1.

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Answer:

It is D

Step-by-step explanation:

Guess my number when i tripple my number snd add five,i get 26 what is my number

Answers

Answer:7
Do the opposite
26-5=21
21/3(triple)=7

If a member states, "i don’t know what to say to my father" during a role play. The best response from the leader will be?

Answers

The sentence "If this is the last chance you have to speak to him, what do you want to tell him" will be the best response from the leader.

What is a role play?

This refers to the act of imitating the character and behaviour of someone who is different from yourself which an example is a training exercise which involves imitating of another people.

Sometimes, during the role play, the member of the group can run out of words while presenting a role, hence, as the member states, "i don’t know what to say to my father", the sentence "If this is the last chance you have to speak to him, what do you want to tell him" will be the best response from the leader to induce the member to talk.

Therefore, the Option C is correct.

Missing word "a. What or whom do you want to get away from? b. What made you come if you didn't want to be here today? c. If this is the last chance you have to speak to him, what do you want to tell him? d. What do you imagine will happen if you don't talk about it?"

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RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include Mrs. Vera(only)?

Answers

There are 680 combinations of four teachers include Mrs. Vera(only)

How to determine the number of combination?

The given parameters are

Teachers, n = 18

Selected teachers. r = 4

The selection must include Mrs. Vera.

So, the remaining parameters are:

Teachers, n = 17

Selected teachers. r = 3

The combination is then calculated as:

Ways = nCr

This gives

Ways = 17C3

Apply the combination formula

Ways = 17!/(14!3!)

Evaluate the expression

Ways = 680

Hence, there are 680 combinations of four teachers include Mrs. Vera(only)

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_______ 2. Find the length of PQ

A. 4.5π units
B. 9π units
C. 54π units
D. 12π units

Answers

Answer:

D

Step-by-step explanation:

Pq=opp/hyp

(135+12)=180

The answer is D
12 twelve

A binomial experiment consists of 500 trials. the probability of success for each trial is. 4. what is the probability of obtaining the number of successes indicated in problems 51–58?

Answers

The probability of obtaining the number of successes indicated in problems 51–58 is 0.42.

Probability is absolutely how in all likelihood something is to happen. every time we're unsure about the final results of an occasion, we can talk about the chances of sure results—how in all likelihood they may be. The analysis of occasions ruled by using probability is called facts.

The opportunity of an event may be calculated with the aid of the opportunity formula by means of truly dividing the favorable wide variety of results by way of the overall variety of feasible effects.

Probability is the department of mathematics regarding numerical descriptions of ways possibly an occasion is to occur, or how likely it's miles that a proposition is actual. The chance of an event is more than a few between zero and 1, in which, roughly talking, 0 shows the impossibility of the event and 1 suggests fact.

Cells x doute the no of surrell and

"p' denotes the probability of turrets

D= 5

H=pkin = 50-xo-5 = 250

σ = SD(X) = √√rbg

= √√5=x05x=5 = 14.№33

The probability of obtaining $45-26

= P(-5-250 < x-M 22605-250)

14.233

= P(-03864 < 2 2 0-7332)

8.4200

0.42

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Find the surface area of the prism

Answers

Area of the base = 60 inches²

Height of the prism = 4 inches

perimeter of the base = 34 inches

Surface area of the rectangular prism =  256 inches²

How to find the surface area of a rectangular prism?

The surface area of a rectangular prism can be calculated as follows;

area of the base = B = 12 × 5 = 60 inches²

Height of the prism = 4 inches

Perimeter of the base is the sum of the whole side of the base of the rectangular prism.

Therefore,

perimeter of the base = 12 + 12 + 5 + 5 = 34 inches

Surface area of the rectangular prism = 2B + ph

where

B = base areap = perimeter of the baseh =height of the rectangular prism

Therefore,

Surface area of the rectangular prism = 2(60) + 34(4)

Surface area of the rectangular prism = 120 + 136

Surface area of the rectangular prism =  256 inches²

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Instructions: Find the circumference of the circle and round to the nearest tenth.
Circumference = 43
4 yd.

Answers

Answer:

8 pi yd.

Step-by-step explanation:

The circumference of a circle can be calculated as follows:

c = [tex]2 \cdot \pi \cdot r[/tex]

Where r is the radius of the circumference.

So in our case:

c = [tex]2 \cdot \pi \cdot 4yd = 8\cdot \pi[/tex] yd.

The circumference of the circle, in the attached image is approximately 25.1 yards.

How to calculate the circumference of the circle

To find the circumference of a circle, you can use the formula:

Circumference = 2 * π * radius

where π = 3.14159.

Given the radius of the circle is 4 yards, the circumference can be calculated as follows:

Circumference = 2 * 3.14159 * 4 yards ≈ 25.13272 yards

Now, rounding to the nearest tenth, the circumference of the circle is approximately 25.1 yards.

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The given decimal is 0.571

Convert the decimal into fraction :
Write down the decimal divided by1
:
0.571

1



Multiply both top and bottom by1000
:
0.571

1
×1000

1000
=571

1000

Answers

0.571 as a fraction equals 571/1000 Steps to convert 0.571 into a fraction. Multiply both the numerator and denominator by 10 for each digit after the decimal

Joseph paid $105,000 for his home twenty years ago. since then, his house has increased its property value by 2.0% every year. in addition, joseph has made renovations and improvements to the house which will increase its sale value by $28,700. if joseph sells his home, how much profit will he make, to the nearest hundred dollars? a. $79,700 b. $84,700 c. $93,700 d. $122,400

Answers

If joseph sells his home,  profit will he make = (a)  $79720

What is profit and its example?

Profit is a term that often describes the financial gain a business receives when revenue surpasses costs and expenses. For example, a child at a lemonade stand spends one quarter to create one cup of lemonade. She then sells the drink for $2. Her profit on the cup of lemonade amounts to $1.75.

Profit earned on the house if he sells = $79720

Amount paid by Joseph for his home = $105000

His house has increased its property value by 2.0% every year

So, Property cost after 20 years :

[tex]Cost = 105000 * (1.02)^{20}[/tex]

Cost = 105000 × 1.4859

Cost = 156020

Also, Due to renovations and improvements to the house, the property cost is increased by $28700

So, Total cost of the house after 20 years = 156020 + 28700

                                                                     = $184720

So, Profit earned on the house if he sells = 184720 - 105000

                                                                      = $79720

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Answer:a)  $79720

Step-by-step explanation:edge

Please help.

Match the graph of the function with the function rule.

Answers

The exponential function represented on the graph is defined by the following rule:

[tex]y = 3 \times 2^x[/tex]

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex]

In which:

a is the initial value, which is also the y-intercept, that is, the value of y when x = 0.b is the rate of change.

From the graph, we get that when x = 0, y = 3, hence the initial value is of a = 3. Then the temporary definition is:

[tex]y = 3b^x[/tex]

Also from the graph, when x = 1, y = 6, hence we can apply to the definition to find b.

[tex]6 = 3b^1[/tex]

3b = 6

b = 2.

Hence the function is:

[tex]y = 3 \times 2^x[/tex]

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What is the Value of x

Answers

Answer:

x = 11

Step-by-step explanation:

A segment parallel to a side of a triangle cuts off proportional segments on the sides.

48/6 = (3x + 7)/5

8 = (3x + 7)/5

3x + 7 = 40

3x = 33

x = 11

what is the volume of a triangular pyramid that is 5 feet tall and has a base area of 9 square feet

Answers

The volume of the triangular prism as described is; 15 cubic foot.

What is the volume of the triangular pyramid?

A triangular pyramid simply refers to any geometric solid with a triangular base, and all three lateral faces are also triangles with a common vertex

It follows from the formula for calculating the volume of a triangular prism that;

Volume = (1/3) × base area × height.

Consequently,

volume of the prism is; = (1/3) ×9 × 5

Volume = 15 cubic foot

Therefore, volume of the triangular prism as described is; 15 cubic foot.

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Find the midpoint between the pair of points.
(-4, 10) and (14, 0)

Answers

Answer:

( 5 , 5 )

Step-by-step explanation:

→ Add 2 the x coordinates together

- 4 + 14 = 10

→ Divide answer by 2

10 ÷ 2 = 5

→ Add the 2 y coordinates together

10 + 0 = 10

→ Divide answer by 2

10 ÷ 2 = 5

Answer:

(5, 5 )

Step-by-step explanation:

given points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (- 4, 10 ) and (x₂, y₂ ) = (14, 0 ) , then

midpoint = ( [tex]\frac{-4+14}{2}[/tex] , [tex]\frac{10+0}{2}[/tex] ) = ( [tex]\frac{10}{2}[/tex] , [tex]\frac{10}{2}[/tex] ) = ( 5, 5 )

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In rectangle ABCD, what is the length of BD¯?

Answers

Answer:

  BD = √97 cm ≈ 9.849 cm

Step-by-step explanation:

Diagonal BD of rectangle ABCD is the hypotenuse of right triangle ABD. Opposite sides of the rectangle are the same length, so we have ...

  AB = 4 cm

  AD = 9 cm

The sides are related to the diagonals by the Pythagorean theorem.

Pythagorean theorem

The Pythagorean theorem tells you the relation between sides and hypotenuse of a right triangle:

  AB² +AD² = BD²

  4² +9² = BD² = 16 +81 . . . . . evaluating the squares

  BD = √97 . . . . . take the square root

The length of BD is √97 cm, about 9.849 cm.

Write 7.21 as a mixed number in simplest form. 7.21 =​

Answers

Answer:7 21/100

Step-by-step explanation: We will covert 7.21 into a fraction. .21 = 21/100. Since 21 can only be divided by 3 and 7, the simplest form of 21/100 is 21/100. So, the mixed number is 7 and 21/100

Answer:

7 and 21/100

Step-by-step explanation:

Since .01 is 1/100, 7.21 will be 7 and 21/100. There is no way to further simplify this, therefore, it is our final answer. Hope this helps! :)

The equation of a circle is x2 y2 cx dy e = 0. if the radius of the circle is decreased without changing the coordinates of the center point, how are the coefficients c, d, and e affected?

Answers

While E will increase, C and D won't change.

What is coordinate geometry?

A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.

Due to the fact that the circle's equation is,

Nevertheless, we are aware of the circle's equation.

                           [tex]x^{2}+y^{2}+C x+D y+E=0[/tex]

(By figuring out the circle's equation[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex], where r is the radius and (h,k) is the center)

                         [tex]x^{2}+y^{2}+2 h x+2 k y+\left(h^{2}+k^{2}-r^{2}\right)=0[/tex]

The following equation is compared to the generic equation above.

Our results are C = 2h, D = 2k, and E [tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]

As a result, C will be unchanged if r lowers ( because C is free from r)

D won't be effected ( because D is also free from r)

E will, however, rise if r falls.

E[tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]

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What is the solution of square root 1-3x = x+3?
O x = -8 or x = -1
O x=-8
O x=-1
O no solution

Answers

Answer: x =   -1

Step-by-step explanation:

To remove the radical on the left side of the equation, square both sides of the equation.

√1−3x2=(x+3)2

Simplify each side of the equation.

1−3x=x2+6x+9

Solve for x

x=−1−8

Exclude the solutions that do not make true

√1−3x=x+3

x=−1

the graph of y=-3x+ 2 is:

Answers

Your equation is already in one of the standard form. Specifically, the slope intercept form.

y=mx + b.

m is the slope, b is the intercept.

Start with the intercept y= 2, the point (0,2).

A slope of 3 would give you (1,5) as a second point for your line.

Get a ruler and draw a line through the two points.

UV has endpoint U(21.6, -8.2) and midpoint M(15.8, -17). What are the coordinates of the other endpoint, V?
(7, -22.8)
(10, -25.8)
(18.7, -12.6)
(27.4, 0.6)

Answers

Using the midpoint formula, the coordinates of the other endpoint, V is: B. (10, -25.8).

What is the Midpoint Formula?

To find the coordinates of the midpoint of a segment, the midpoint formula is used, which is expressed as: M(x2 + x1/2, y2 + y1/2).

Given one endpoint of UV as, U(21.6, -8.2), and a midpoint of M(15.8, -17), let:

U(21.6, -8.2) = (x1, y1)

V(x, y) = (x2, y2)

Plug in the values into M(x2 + x1/2, y2 + y1/2):

M(15.8, -17) = (x2 + 21.6/2, y2 + (-8.2)/2)

Solve for x2

15.8 = (x2 + 21.6)/2

Multiply both sides by 2

2(15.8)= (x2 + 21.6)/2 × 2

31.6 = x2 + 21.6

Subtract both sides by 21.6

31.6 - 21.6 = x2 + 21.6 - 21.6

10 = x2

x2 = 10

Solve for y2:

-17 = (y2 + (-8.2))/2

Multiply both sides by 2

2(-17) = (y2 + (-8.2))/2 × 2

-34 = y2 + (-8.2)

-34 = y2 - 8.2

Add 8.2 to both sides

-34 + 8.2 = y2 - 8.2 + 8.2

-25.8 = y2

y2 = -25.8

The coordinates of the other endpoint, V is: B. (10, -25.8).

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Answer: B

Step-by-step explanation: edge2023

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Since 1900, music became......non-existent, because all music and instruments were destroyed during wars....strongly unified, organized, and standardized: all composers followed the same formal and tonal models....very individualized: one composer, or small groups of them, developed their own style(s)....entirely improvised: no music was ever written down anymore. Rewrite 2x = 128 as a logarithmic equation.Ologx128=2O log2x = 128O log128 = xOlog128x = 2 In your future capacity as a healthcare worker, your patients' may depend upon youconveying essential facts to them and their advocates. In a well-thought-outparagraph, share two (2) ways that you can ensure that the medical information youprovide is credible (reliable and trustworthy). Explain how you would communicatethis credibility to your patient and/or their advocate. If you said that fold f2 was a plunging fold, what is the direction of plunge? Describe how the mass spectrometry readout is consistent with the chemical structure of hydrochloric acid. A telescope mirror is part of a sphere with a radius of 3 m. what is the focal length of the mirror? Why is it important to keep personal finances separate from business finances? Whereas ________ business embodies individualism, achievement, competition, and informality, ________ business stresses collectivism, continuity, cooperation, and formality Chapter 26: Is He Serious? And Other Ironies Select a significant instance of irony in Purple Hibiscus. What makes it ironic? How does the irony affect the readers sense of its significance and meaning? (Were looking for you to show that you genuinely understand irony.) You may discuss a scene or episode that youve already discussed above, as long as you focus on the irony here. What is the smallest positive integer having eactly 5 different positive integer divisors? ____________ refers to the deficient production of all cellular elements of the blood. Which carboxylic acid derivative can be made from another carboxylic acid derivative by a dehydration reaction? During an experiment a thermometer was placed in a beaker containing hydrogen peroxide. The following observations were recorded when yeast granules were added to hydrogen peroxide.Observation 1: Fizzing and bubbling took place.Observation 2: The temperature began to rise.Based on the observation, justify the type of change (physical or chemical) that took place Which person was not known as being active in the education of native americans? The first contingent of u. S. Combat troops that president johnson sent to vietnam consisted of. A client has been purging to maintain weight loss. Which would be an important goal immediate for this client (2x+1)/(x-3) simplified Which of the following could beconsidered an example of physicalcontamination?a. Pesticide contamination in foodb. Copper leeching into food during thecooking processc. A bandage falling into a prepared dishd. Sanitizer getting onto a food product duringpreparation A 0. 462 g sample of a monoprotic acid is dissolved in water and titrated with 0. 180 m koh. what is the molar mass of the acid if 28. 5 ml of the koh solution is required to neutralize the sample? Find the area between the following curves.y=x^3-x^2+x+8 ; y=5x^2-7x+8