Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought.

How much did the bag weigh before it was opened?

Answers

Answer 1
Answer:
There were 16 ounces of Cat Food after 24 days.
Step-by-step explanation:
From the graph attached,
For an ordered pair (x, y) lying on the graph,
x-coordinate represents the number of days since bag was bought and y- coordinate represents the ounces of cat food required.
Now the value x = 24 on x-axis shows the number of days since the bag was bought.
For x = 24, ounces of cat food in the bag ( y ) = 16 ounce
Therefore, 16 ounces of Cat Food were in the bag after 24 days since it was bought.
Answer 2

Answer:

There were 16 ounces of Cat Food after 24 days.


Related Questions


Instructions: Given the vertex, fill in the vertex form of the quadratic function..
Vertex: (2,-6)

Answers

Answer:

[tex]\implies y=(x-2)^2-6[/tex]

Step-by-step explanation:

Vertex form of a quadratic equation:

[tex]y=a(x-h)^2+k[/tex]

where:

(h, k) is the vertexa is some constant

Given vertex:  (2, -6)

⇒ h = 2 and k = -6

Substitute the values of h and k into the formula:

[tex]\implies y=a(x-2)^2+(-6)[/tex]

[tex]\implies y=a(x-2)^2-6[/tex]

As we have not been given a value for the constant [tex]a[/tex], assume this is 1.

Therefore, the vertex form of the quadratic function with vertex (2, -6) is:

[tex]y=(x-2)^2-6[/tex]

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(h,k)=(2,-6)

Vertex form

y=a(x-h)²+k

a=1

Put values

y=(x-2)²-6

From atop a 15 m lighthouse, a man spots a dolphin 50 m out to sea. Find the angle of depression from the man to the dolphin, to nearest degree.

Answers

Answer:

16.7 degrees

Step-by-step explanation:

Diego Company manufactures one product that is sold for $70 per unit in two geographic regions—the East and West regions. The following information pertains to the company’s first year of operations in which it produced 53,000 units and sold 48,000 units.



Variable costs per unit:
Manufacturing:
Direct materials $ 21
Direct labor $ 10
Variable manufacturing overhead $ 2
Variable selling and administrative $ 4
Fixed costs per year:
Fixed manufacturing overhead $ 1,060,000
Fixed selling and administrative expense $ 557,000


The company sold 36,000 units in the East region and 12,000 units in the West region. It determined that $270,000 of its fixed selling and administrative expense is traceable to the West region, $220,000 is traceable to the East region, and the remaining $67,000 is a common fixed expense. The company will continue to incur the total amount of its fixed manufacturing overhead costs as long as it continues to produce any amount of its only product.

15. Assume the West region invests $43,000 in a new advertising campaign in Year 2 that increases its unit sales by 20%. If all else remains constant, what would be the profit impact of pursuing the advertising campaign?

Answers

The 53,000 units produced and the increase in sales of 50,400 - 48,000 = 2,400 units, give an impact (increase) in profit of $168,000

How can the impact in profit be found?

Price per unit = $70

Number of units produced = 53,000

Number of units sold = 48,000

Material cost per unit = $21

Labour cost per unit = $10

Manufacturing overhead = $2

Selling and administrative overhead = $4

Fixed cost = $1,060,000

Administrative expenses = $557,000

Advertising cost = $43,000

Percentage increase in sales = 20%

Number of units sold in Year 2 = 1.2 × 12,000 = 14,400

Total cost = 53000×(21+10+2+4) + 1,060,000 + 557,00 = 3,578,000

Total revenue in Year 1 = 70 × 48,000 = 3,360,000

Profit = Revenue - Cost

Profit in Year 1 = 3,360,000 - 3,578,000 = -218,000

Total revenue in Year 2 = 70 × (36,000+14,400) = 3,528,000

Profit in Year 2 = 3,528,000 - 3,578,000 = -50,000

The impact on the profit is therefore;

-50,000 - (-218,000) = 168,000

The profit impact is an increase in profit of $168,000

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Determine the point where the lines x=4t+1,y=t-9,z=2t+1 and x=5s+1, y= -s, z= 5s -9 intersect.
(Write your answer in the form of a point, (*,*,*). Enter DNE if the lines do not intersect.)

Answers

By reduction to the absurd, the two lines do not intercept each other because of the following absurd: 5 = - 4.

How to find the point of intersection between two lines in space

From statement we have two lines in space, whose vector forms are described below:

(x, y, z) = (1, - 9, 1) + t · (4, 1, 2)     (1)

(x, y, z) = (1, 0, - 9) + s · (5, - 1, 5)     (2)

The point of intersection satisfies the following condition:

(1, - 9, 1) + t · (4, 1, 2) = (1, 0, - 9) + s · (5, - 1, 5)

(1, - 9, 1) - (1, 0, - 9) = s · (5, - 1, 5) + t · (- 4, - 1, - 2)

s · (5, - 1, 5) + t · (- 4, - 1, - 2) = (0, - 9, - 8)

There is a point of intersection if the resulting system of linear equations has at least a solution:

5 · s - 4 · t = 0      (2)

- s - t = - 9      (3)

5 · s - 2 · t = - 8     (4)

By (2):

s = 4 · t/5

(2) in (3):

- 4 · t/5 - t = - 9

- 9 · t/5 = - 9

t/5 = 1

t = 5

(2) in (4):

5 · (4 · t/5) - 2 · t = - 8

4 · t - 2 · t = - 8

2 · t = - 8

t = - 4

By reduction to the absurd, the two lines do not intercept each other because of the following absurd: 5 = - 4.

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8⁄9 ÷ 1⁄3 what is the answer please

Answers

Answer:

8/3

Step-by-step explanation:

8/9

Solve for x.
BC = 2
CD =2x-6
BD X+2

Answers

Answer:

6

Step-by-step explanation:

Assuming C lies on segment BD, we know that by the segment addition postulate,

[tex]BC+CD=BD \\ \\ 2+2x-6=x+2 \\ \\ 2x-4=x+2 \\ \\ x=6[/tex]

The values of BC = 2, CD = 2x - 6 and BD = x + 2 then the value of x = 6.

How to find the value of x?

The algebraic expression should be any one of the conditions such as addition, subtraction, multiplication, and division.

In mathematics, an algebraic expression exists as an expression built up from integer constants, variables, and algebraic operations. For example, 3x² − 2xy + c exists as an algebraic expression.

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

Given: BC = 2, CD = 2x - 6 and BD = x + 2 then

BC+CD= BD

2+2x-6=x+2

Simplifying,

2x-4=x+2

Thus,

x=6

Therefore, the value of x = 6.

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Expand 4(6)to the 8th power
4(6)^8​

Answers

The expanded form of the given exponential equation is 6718464

Exponential equations

Exponential equations are inverse of logarithmic equations. The standard exponential equation is expressed as. y = ab^x

where

a is the base

x is the exponent

Given the expression below;

a = 4(6)^8​

Expand to have:

a = 4 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6

a = 4 * 1679616
a = 6718464

Hence the expanded form of the given exponential equation is 6718464

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A teacher designs a test so that 93% of students who study will pass and 9% of students who don't study will pass. 88%
of students study for a test. What is the probability that a randomly selected student passes?

A. 1.057
B. 0.833
C. 0.084
D. 0
E. 0.829

Answers

Answer:

Step-by-step explanation:

First find the percentage of the ones that pass that study

.93 *(88)=88.84%

next find the ones that pass that did not study

.09*(100-88)=1.08

sum these to get the total passing percentage

88.84+1.08=82.92%

The probability is 82.9 per 100 or .8292 for student

E is the answer

I THINK THE ANSWER IS ALSO E BC I DID THE TEST

None of the pots in the kitchen have a lid.
For each statement below, determine whether it is a negation
All pots in the kitchen have a lid.
Not every pot in the kitchen has a lid.
At least one pot in the kitchen has a lid.
Some pots in the kitchen have a lid.
Yes
No
O
O

Answers

The first three statements are not a negation. Only the last statement is a negation.

What is negation?

The opposite of the given mathematical statement is the negation of a statement in mathematics. If "P" is a statement, then "P" is the statement's negation. The words negation is used to denote a statement's denial.

It's vital to know the opposite of a given mathematical statement from time to time in mathematics. This practice is known as "negating" a statement. Remember that if a statement is true, then its negation must be false (and if a statement is false, then its negation is true).

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11) Find the mode of the data set.
O a.) 9
Ob.) 8
Oc.) 7
O d.) 6

Data:
5, 8, 12, 6, 7, 10, 14, 6, 13
4

Answers

4,5,6,6,7,8,10,12,13,14
Since 6 has the most occurring data, it is 6.

Answer:

6

Step-by-step explanation:

The mode is the number that is repeated the most in the data set. 6 is the only number that is repeated twice, so it is the mode.

Brainliest, please :)

Solve the following:
3 x 10³ - 7000
(8 × (−5)) + (4² +2²)
Give your answer in simplest form.
Enter can you help me solve this I was doing very good up to now

Answers

Answer:

3x(10x10x10): 3x(1000): 3000-7000: -4000. (8x(-5)): -40. (4x4) +(2x2): (16 +4): 20

Oliver and Layla each built a rectangular prism with centimeter cubes. Both prisms have a volume of 24 cubic centimeters but they do not look the same. Give possible dimensions for each prism.

Answers

Possible Dimensions of one prism are; 2cm, 3 cm and 4cm

Possible Dimensions of second prism are; 1 cm, 4 cm, 6 cm

How to find the dimensions of a rectangular Prism?

We are told that volume of both rectangular prisms is; V = 24 cm³

Now, formula for Volume of a rectangular prism is;

V = lwh

where;

l is length

w is width

h is height

Thus, to solve this, we have to look for multiples of 24 which are;

1, 2, 3, 4, 6, 8, 12, 24.

Now, we must pick 3 numbers from the above in which their products will be equal to 24.

Thus;

Possible Dimensions of one prism are; 2cm, 3 cm and 4cm

Possible Dimensions of second prism are; 1 cm, 4 cm, 6 cm

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use long division to convert 3/10 into decimals.​

Answers

Answer:

3/10 as a decimal is expressed as 0.3.

Answer showing long division in attachment
.3 is the answer

add the different of 9/16 and 5/4

Answers

Adding the difference between [tex]$\frac{9}{16}[/tex] and [tex]$\frac{5}{4}[/tex] we get [tex]$1 \frac{13}{16}[/tex].

How to estimate the sum of 9/16 and 5/4?

Find the least common denominator or LCM of the two denominators:

LCM of 4 and 16 exist 16.

Subsequently, estimate the equivalent fraction of both fractional numbers with denominator 16.

For the 1st fraction, since 16 × 1 = 16,

9/16 = (9 × 1) / (16 × 1) = 9/16

For the 2nd fraction, since 4 × 4 = 16,

5/4 = (5 × 4) / (4 × 4) = 20/16

Add the two like fractions, then we get

(20/16) + (9/16) = (20 + 9)/16 = 29/16

So, [tex]$\frac{5}{4}+\frac{9}{16} =\frac{29}{16}[/tex]

In mixed form: [tex]$1 \frac{13}{16}[/tex].

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Points A, B and C make the triangle triangle ABC and are at the coordinates A(- 4, 3) , B(- 48, 17) and C(22, - 53) . Point D is the midpoint of BC and AD is a median of triangle ABC . What is the equation of the median in standard form?

PLEASE HELP ASAP

Answers

The equation of the median in standard form is; 9y - 38x = 179.

What is the equation of the media in standard form?

It follows from the task content that the point D is the midpoint of segment BC; Hence, the coordinates of point D given the coordinates of B and C above are given as; D(-13, -35).

The equation of the median which is the line joining points A and D is therefore determined as follows;

Slope = (-35-3)/(-13-(-4)) = 38/9

38/9 = (y-3)/(x+4)

9y -27 = 38x + 152

9y - 38x = 179.

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Carter and Isabella run a carwash business. They split the revenue 50/50. They are deciding on if they should join forces with Carla's carwash. If they join with Carla, the combined carwash will make $2400 more per month, but they'll have to split revenue equally (33.3/33.3/33.3). On an average month, Carter and Isabella's carwash makes $6000. How much more or less would Carter or Isabella individually make if they merged with Carla's carwash?

Answers

we can see that when they join with Carla, Carter and Isabella will get $200 less (individually).

How much more or less would Carter or Isabella individually make if they merged with Carla's carwash?

When Carter and Isabella work together, they have a revenue of $6000, which is split in 50/50, so each one gets:

$6000/2 = $3000

Carter wins $3000 and Isabella wins $3000.

If they join with Carla, the revenue increases by $2400, so now the total revenue is:

$6000 + $2400 = $8400

And now they split it between 3, so each one gets:

$8400/3 = $2800

The difference of Carter's (Or Isabella's) part is:

$3000 - $2800 = $200

Then we can see that when they join with Carla, Carter and Isabella will get $200 less (individually).

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How do I scale a landscape drawing that is half an acre

Answers

The steps to carry out scaling of a landscape drawing are; as detailed below

How to do landscape drawings?

The steps to carry out if we want to scale landscape drawings are;

1) Measure the half acre area that you want to draw.

2) Write down your notations. Convert the measurements to inches so you can draw your rendition on a piece of standard paper.

3) Scale the items by use of ratios. Set up your fraction as the length of the paper divided by the measured length.

4) Divide the fraction answer by the measured length  and reduce the fraction by dividing the top and bottom by the fraction answer.

5) Scale everything you are going to draw accordingly.

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Value of x after the statement "if P(x) then x 1" is executed where P(x): > 1

and x = 0 when the statement is reached:

Answers

The values of x after the statement are:

b) If x=1, then the statement P(1)="1>1" is false, and thus the value of x is equal to 1 after the statement "P(x) then x := 1".c) If x=2, then the statement P(2)="2>1" is true, and thus the value of x is equal to 1 after the statement "if P(x) then x := 1".

What is Discrete Mathematics?

This refers to the field of mathematics that studies mathematical structures and views them as discrete, rather than continuous and they include integers, statements, etc.

Therefore, if we consider the statement "if P(x) then x:=1" which is equivalent to "if x>1 then x:=1", then we can see that If x=1, then the statement P(1)="1>1" is false

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Decide whether the conditions create a unique triangle, multiple triangles, or no triangle m∠A=65∘ m∠B=75∘ m∠C=40∘

Answers

Answer:

multiple triangles

Step-by-step explanation:

add the numbers up it adds to 180 which is the sum of a triangle and could create other triangles

Burger Corp has $468,500 of assets, and it uses only common equity capital (zero debt). Its sales for the last year were $778,500, and its net income after taxes was $25,000. Stockholders recently voted in a new management team that has promised to lower costs and get the return on equity up to 15%. What profit margin would Burger need in order to achieve the 15% ROE, holding everything else constant?
Answer in % without units (i.e. 17.11% -> 17.1 )

ANSWER: 9.0
BUT I WANT TO KNOW HOW TO SOLVE

Answers

The profit margin required to achieve 15% targeted ROE is 9.0%

The ROE means return on equity, it is the return earned on shareholders fund or shareholders equity.

Based on the three-way DuPont approach to computing the ROE, the below formula is very relevant to this analysis:

ROE=net profit margin*assets turnover*equity multiplier

ROE=15%

net profit margin=the unknown now(assume it is X)

assets turnover=sales/total assets

assets turnover=$778,500/$468,500

assets turnover=1.6616862326574200

equity multiplier=total assets/total equity

Note the company is entirely financed by equity(zero debt) which means that total assets is the same as total equity

equity multiplier=$468,500 /$468,500

equity multiplier=1.00

15%=X*1.6616862326574200*1.00

15%=X*1.6616862326574200

X=15%/1.6616862326574200

X=9.0%

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Q3 The grade-point averages of 20 college seniors selected at random from the graduating class are as follows:
3.2 1.9 2.7 2.4 2.8 2.9 3.8 3.0 2.5 3.3
1.8 2.5 3.7 2.8 2.0 3.2 2.3 2.1 2.5 1.9
a) Evaluate the Median of grade point
b) Calculate the highest marks of bottom 30% students
d) Calculate Q1 & Q3.

Answers

Answer:

Step-by-step explanation:

A) The median number is just the middle number so it should be 2.8

B) Bottom 30% are the six lowest amounts. The highest of the bottom six numbers is 2.3. Not sure what it means by calculating them. 1.8, 1.9, 1.9, 2.0, 2.1, and 2.3 are the lowest six. If you need to add them up the answer is 12.
C) I don’t know what your Q1 is.

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

The energy is compared based on the information given below.

How to illustrate the energy?

Energy released by burning 1 kilogram of element A = EA = 5.1 * (10)8

Energy released by fission of hydrogen in 1 kilogram of element B = EB = 1.3 * (10)10

Therefore,

Ratio = EB / EA = 1.3 * (10)10 / 5.1 * (10)8 = 25

Thus, the fission of 1 kg of element B releases 25 times as much energy as burning 1 kilogram of element A.

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The other part of the question:

Energy released by burning 1 kilogram of element A = 5.1 times 10 Superscript 8

Energy released by the fission of hydrogen in 1 kilogram of element B = 1.3 times 10 Superscript 10

It rains 4 days in a week and is dry for 3 days. What fraction of the week is dry?

Answers

it’s dry for 3/7 of the week

Answer:3/7

Step-by-step explanation:There are total 7 days in a week. 3 days were dry so the fraction is 3/7 . The dry days over the total days of the week

W
If 15 cans of food are needed for 7 campers for 2 days,
the number of cans needed for 4 campers for 7 days
is? (round up to nearest whole number)

Answers

Answer:

30 cans

Step-by-step explanation:

cross multiply

14x = 28 * 15

14x = 420

x = 420/14

x = 30 cans

Find the area between the two functions

Answers

The area between the two functions is 0

How to determine the area?

The functions are given as:

f₁(x)= 1

f₂(x) = |x - 2|

x ∈ [0, 4]

The area between the functions is

A = ∫[f₂(x) - f₁(x) ] dx

The above integral becomes

A = ∫|x - 2| - 1 dx (0 to 4)

When the above is integrated, we have:

A = [(|x - 2|(x - 2))/2 - x] (0 to 4)

Expand the above integral

A = [(|4 - 2|(4 - 2))/2 - 4] - [(|0 - 2|(0 - 2))/2 - 0]

This gives

A = [2 - 4] - [-2- 0]

Evaluate the expression

A = 0

Hence, the area between the two functions is 0

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A room has a floor dimension of 30 feet by 50 feet. The height of the basement is 6 feet. What is the total area of all four walls?

Answers

Answer:

960 feet

Step-by-step explanation:

30×6=180

180×2=360

50×6=300

300×2=600

360+600=960

What is the value of a?
O 5 units
05/
units
6 units
O 7 units

Answers

From the Δ YWZ we get c = 5 then the value of  [tex]$a= 5 \frac{1}{3}[/tex].

How to estimate the value of a?

In the given Δ YWZ

WZ² = YW² + YZ²

c² = 4² + 3² = 16 + 9 = 25

c = 5

In the Δ XYW

b² = 4² + a²-----(1)

In the right-angle Δ WXZ

(a + 3)² = b² + c²

a² + 9 + 6a = b²+ c²

By putting the value of b² from (1)

a² + 9 + 6a = 16 + a² + 25

Simplifying the above equation, we get

6a + 9 = 41

6a = 41 - 9

6a = 32

[tex]$a = \frac{32}{6} = \frac{16}{3}[/tex]

[tex]$a= 5 \frac{1}{3}[/tex]

Therefore, the value of [tex]$a= 5 \frac{1}{3}[/tex].

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The weight of toys a toddler owns has a population mean of 15.8kg and a population standard deviation of 4.2kg. What is the probability a toy store owner could select a sample of 49 toddlers and find the sample mean to be

(a) 15.1kg or less? (answer?)

(b) 15.1kg or more? (answer?)

Leave all answers to 4 decimal places.

Answers

The weight of toys a toddler owns has a population mean of 15.8kg and a population standard deviation of 4.2kg. then the probability a toy store owner could select a sample of 49 toddlers and find the sample mean to be 15.1kg or less is 0.121 and 15.1kg or more is 0.879.

Given Information:

Population mean, μ = 15.8 kg

Population standard deviation, σ = 4.2 kg

For finding the probability for the sample mean, we first need to find the standard score.

(a) For sample mean to be 15.1kg or less,

z = (x - μ) / (σ/√n)

Here, x = 15.1

⇒ z = (15.1 - 15.8) / (4.2/√49

z =-0.7 / (4.2/7)

z = -1.17

Now, we can use the z-table to find the probability of the sample mean to be 15.1kg or less.

∴ P(x ≤ 15.1) = 0.121

(b) Now, to find the probability of sample mean to be 15.1kg or more, we can simply subtract P(x ≤ 15.1) from 1.

⇒ P(x ≥ 15.1) = 1 - P(x ≤ 15.1)

P(x ≥ 15.1) = 1 - 0.121

P(x ≥ 15.1) = 0.879

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If f(x) = -4x-8 and g(x)=3x²+x, then f(-1)g(2) =​

Answers

Answer:

b

Step-by-step explanation:

(-4(-1)-8)(3(2)^2+2=4-8×12+2

-4×14=-56

if f x is a linear function, f(-1)=3, and f(1)=5, find an equation for f(x)

Answers

The equation of f(x) is f(x) = x + 4

How to determine the equation?

The given parameters are

f(-1) = 3 and f(1) = 5

Start by calculating the slope (m) using:

[tex]m = \frac{f(1) - f(-1)}{1 - -1}[/tex]

This gives

[tex]m = \frac{5 - 3}{1 + 1}[/tex]

Evaluate

m = 1

The equation is then calculated as;

f(x) = m(x - x1) + f(-1)

This gives

f(x) = 1(x + 1) + 3

Expand

f(x) = x + 4

Hence, the equation of f(x) is f(x) = x + 4

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true or false in a typical cell the area of the endoplasmic reticulum membrane far excueeds thwee area of the plasma membrane Tonya brought a jacket for $34.23 a pillow for $11.75 and a baseball cap for $16.25 she paid $50 and the rest ship out for my friend is Tonia got $7.77 in change from the cashier how much did she fall from Friend to pay for all the items Calculate (CaWO4) the mass of scheelite that contains a trillion (1. 000x10 12) oxygen atoms. Be sure your answer has a unit symbol if necessary, and round it to 4 significant digits the difference between the actual hours used and the standard hours allowed for the actual output is used in the calculation of the labor __ variance. when an nlb cluster has been configured to operate in multicast mode, each nlb network adapter has how many mac addresses? An air turbine has an isentropic efficiency equal to 0.82. If the turbine expands 3 kg/s from 2000 kPa and 1000 K to 400 K. The change in entropy per unit of mass of air flowing is most nearly equal to:a) -0.97576 kJ/kg-Kb) 0.97576 kJ/kg-Kc) 0.43625 kJ/kg-Kd) 0.14542 kJ/kg-Ke) 1.30875 kJ/kg-K a laser pulse contains roughly 0.851 moles of photons. what is the energy contained in a single pulse of green light (525 nm)? provision of adequate energy and nutrients to the very preterm infant requires _____, followed by slow transition to _____. the electrical force on a 2-c charge is 60 n. the electric field where the charge is located isthe electrical force on a 2-c charge is 60 n. the electric field where the charge is located is there are many factors that contribute to emotional tension. in the healthcare setting factors are: _____ Thomas is available on Monday and Tuesday from 10:30 AM to 2:30 PM. Samir is available on Tuesday and Wednesday from 11:30 AM to 3:30 PM. Whitney is available on Monday, Tuesday, and Wednesday from 1:00 PM to 5:00 PM. When are all three people available for a 30-minute meeting? Select all that apply. a Monday at 1:00 PM b Tuesday at 11:30 AM c Tuesday at 1:30 PMd Tuesday at 2:00 PM e Wednesday at 1:00 PM f Wednesday at 3:00 PM Why did the communes in New Mexico disappear after just a few years?O A. Members moved on.B. Hippies became farmers.OC. State leaders kicked them out.OD. Actors bought the communes. The function of the carbonic acid-bicarbonate buffer system in the blood is to ______O aid in the moving O into the bloodO aid in expelling CO from the bloodO help stabilize arterial blood pH Which of the following is a possible unit for the volume of a cone? T/F : relaxation guided imagery is a technique that involves directing the imagination to connect with the subconscious mind to activate the relaxation response. 1.)Estimate the length of a typical hot shower (in minutes)2.) Estimate the flow rate of a typical shower head (in gallons/minute)3.) Estimate the number of gallons used in a typical hot shower A mailbox has thedimensions shown.What is the volumeof the mailbox?2 in.8 in.L8 in.12 in. Aluminum ions react with the hydroxide ion to form the precipitate Al(OH)3(s), but can also react to form the soluble complex ion Al(OH)4. In terms of solubility, Al(OH)3(s) will be more soluble in very acidic solutions as well as more soluble in very basic solutions.a. Write equations for the reactions that occur to increase the solubility of Al(OH)3(s) in very acidic solutions and in very basic solutions.b. Lets study the pH dependence of the solubility of Al(OH)3(s) in more detail. Show that the solubility of Al(OH)3, as a function of [H+], obeys the equationS = [H+]3 Ksp/Kw3 + KKw/[H+]where S = solubility = [Al3+] + [Al(OH)4] and K is the equilibrium constant forc. The value of K is 40.0 and Ksp for Al(OH)3 is 2 1032. Plot the solubility of Al(OH)3 in the pH range 412. according to marquis what is the essential standoff in the debate between anti- abortionists and pro-choice people, and what is his strategy for getting past it Which of the following is a nonproteinaceous, yet toxic, compound found in all gram-negative bacteria. type iv pili.