the product of two numbers is 7623 if one number is 77 the other number is​

Answers

Answer 1

Answer:

7623 divided by 77=99

99 x 77=7623

Step-by-step explanation:

Answer 2
The product of two numbers is 7623. If one number is 77, find the other number.Given:-

The product of the two numbers = 7623

One of the number = 77

To find:-

The other number.

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{red}{Solution⤵}}}}}∘\)

The other number is 99.

Step-by-step explanation:

Let the other number be \(x\).

As per the condition,

\(x \times 77 = 7623 \\ ✒ \: x = \frac{7623}{77} \\ ✒ \: x = 99\)

Hence, the two numbers are \(\sf\purple{77}\) and \(\sf\pink{99}\) respectively.

To verify:-

\(99 \times 77 = 7623 \\ ➪ \: 7623 = 7623\)

L. H. S = R. H. S.

Hence verified.

\(\large\colorbox{orange}{Happy\:learning.✌️}\)


Related Questions

Which of the following tables represents a linear relationship that is also proportional
Answer picture below ​

 Which of the following tables represents a linear relationship that is also proportionalAnswer picture

Answers

Answer:

c=200+0.4Yd find determine equlibirum level investment is =400

Answer:im pretty sure its D

Step-by-step explanation:it goes through the origin

Solve the equation. Please help

Solve the equation. Please help

Answers

\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)

So, to solve the equation we want to isolate y or in other words, have y (alone) on one side so that we can find out what y should have as a value.

Step 1: Add 3/4 on both sides
We get
2y/3 = 1/12+3/4
We add fractions by calculating a common denominator, adjusting the numerators accordingly and adding them. See this in action below:
12 and 4 have a common multiple in 12 which will be our common denominator. Now, 1/12 does not need to be adjusted, but 3/4 becomes 3*3 / 3*4 = 9/12.
In total 1/12 + 9/12 = 10/12

So, we have 2y/3 = 10/12

Now we multiply both sides by 3, so that the 3 will cancel out the 3 in the denominator on the left side:
2y =30/12

Now we just need to divide by 2 and get the solution:
y = 15/12 = 3*5 / 3*4 = 5/4

Therefore the final answer is A:
The solution set is {5/4}

find an equation that passes through (1 ,2) and is parallel y=3x-9

Answers

Answer:

A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (1, 2)

Substituting the values we get:

y - 2 = 3(x - 1)

Simplifying the equation we get:

y - 2 = 3x - 3

y = 3x - 1

Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .

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At summer camp, 40 students are divided in two groups for swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking.


Outcome Frequency
Swimming 12
Hiking 28


Compare the probabilities and determine which statement is true.
The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 28 over 40.
The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 12 over 40.
The theoretical probability of swimming, P(swimming), is 12 over 28, but the experimental probability is one half.
The theoretical probability of swimming, P(swimming), is 28 over 40, but the experimental probability is one half.

Answers

Answer:

Step-by-step explanation:

The theoretical probability of an event is the number of favorable outcomes over the total number of possible outcomes. In this case, the total number of possible outcomes is 2, since each camper can either swim or hike. The number of favorable outcomes for swimming is also 2 (heads on a coin flip). Therefore, the theoretical probability of swimming is 2/2 or 1/2.

The experimental probability of an event is the number of times the event occurred in the experiment divided by the total number of trials. In this case, there were 12 students who chose to swim out of 40 total students. Therefore, the experimental probability of swimming is 12/40 or 3/10.

Comparing the two probabilities, we see that the theoretical probability of swimming is 1/2 while the experimental probability of swimming is 3/10. Therefore, the statement "The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 12 over 40" is true.

The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 12 over 40.

The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 12 over 40. (option b)

The theoretical probability of an event is calculated based on the assumption of equal likelihood for all possible outcomes. In this case, since each student flips a fair coin, there are two equally likely outcomes: heads (swimming) and tails (hiking). Therefore, the theoretical probability of swimming (P(swimming)) is 1/2, and the theoretical probability of hiking is also 1/2.

However, the experimental probability is determined by the actual outcomes observed in the experiment. According to the data provided, out of the 40 students, 12 students got heads (swimming) and 28 students got tails (hiking). To find the experimental probability of swimming, we divide the number of students who swam by the total number of students:

12/40 = 0.3.

The theoretical probability of swimming, P(swimming), is one half (0.5), but the experimental probability is 28 over 40 (0.7).

The theoretical probability of swimming, P(swimming), is one half (0.5), but the experimental probability is 12 over 40 (0.3).

The theoretical probability of swimming, P(swimming), is 12 over 28 (~0.4286), but the experimental probability is one half (0.5).

The theoretical probability of swimming, P(swimming), is 28 over 40 (0.7), but the experimental probability is one half (0.5).

Out of these options, the correct one is the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 12 over 40. (option b).

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A box contains 54 coins which are either 20-cent coins or 50-cent coins. If the total value of all the coins is $20.70, find the number of 20-cent coins in the box. LOF 1 11.​

Answers

Number of 20-cent coins in the box are 33.

1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.

2. We can set up two equations based on the given information:

  - x + y = 54   (since the total number of coins in the box is 54)

  - 0.20x + 0.50y = 20.70   (since the total value of all the coins is $20.70)

3. We can multiply the second equation by 100 to get rid of the decimals:

  - 20x + 50y = 2070

4. Now, we can use the first equation to express y in terms of x:

  - y = 54 - x

5. Substitute the value of y in the second equation:

  - 20x + 50(54 - x) = 2070

6. Simplify and solve for x:

  - 20x + 2700 - 50x = 2070

  - -30x = -630

  - x = 21

7. Substituting the value of x back into the first equation:

  - 21 + y = 54

  - y = 33

8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.

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Rollaway Skates
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$0
$5
$10
$15
$20
$25
$30
$35
$40
Wheelie's Skates
and Stuff
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$100
$103
$106
$109
$112
$115
$118
$121
$124

Describe when Rollaway Skates is cheaper and when Wheelie's is cheaper.

Answers

Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

answer these 2 qns if possible or atleast one ​

answer these 2 qns if possible or atleast one

Answers

1. The percentage of maize flour is given as 16.7 %

2. The common ratio of the GP is r = 1.5.

How to solve for the common ratio

1. We have to set up equation

60x + 90(1 - x) = 85

60x + 90 - 90x = 85

now we have to solve for the value of x

-30x = -5

x = 5 / 30

x = 0.167

Hence percentage of maize flour is given as 16.7 %

2. a + ar = 20 (1)

ar + ar^2 = 30 (2)

We can rearrange equation (1) to get an expression for a:

a = 20 / (1 + r)

Now, we can substitute a into equation (2) to get an equation only in terms of r:

\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)

Solving this quadratic equation, we get:

We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.

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You and your friends decide to play video games online together on Saturday. One particular game charges a one-time fee of $10 to download and $3.50 per hour of play.



1) Write an equation to represent this situation.

2) How much will it cost you to play the game for 5 hours? Show your work.

Answers

Answer:

Step-by-step explanation:

1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)

2. Put in the value of x(substitute it).

$10+$3.50x

$10+$3.50(5)

$10+$17.50

Answer-$27.50

Hope it helps!

A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?

Answers

A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

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PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?

PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?

Answers

A. Alternate interior angles

9/19 is it closer to 0

Answers

Yes!!! 0-9 is 9! 9-19 is 10!

The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle

Answers

The length of the rectangle given the area as 12 is 6

What is the of the rectangle?

Area of a rectangle = Length × width

Area of the rectangle = 12Length of the rectangle = w + 4Width of the rectangle = w

Area of a rectangle = Length × width

12 = (w + 4) × w

12 = w² + 4w

w² + 4w - 12 = 0

Solve the quadratic equation using factorization

w² + 6w - 2w - 12 = 0

w(w + 6) - 2(w + 6) = 0

(w + 6) (w - 2) = 0

w + 6 = 0 or w - 2 = 0

w = -6 or w = 2

Hence,

width of the rectangle can not be negative.

Length of the rectangle = w + 4

= 2 + 4

= 6

Therefore, 2 is the length of the rectangle.

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Question 8 is the one I’m having trouble on it

 Question 8 is the one Im having trouble on it

Answers

Just multiply 30 times 2,000 and also multiply 30 times 700. The reason you will multiply it by 30 is because in 1 month there is 30 days. 30 x 2,000= 60000 30 x 700 = 21000 I’m only 9 btw so sorry if I didn’t give a lot of detail lol

A punter kicked a 41 yard punt. The pth of the football can be modeled by y=-0.035x2 + 1.4x + 1 where x is the distance in yards the football id kicked and y id the height in yards the football kicked

Answers

This means that the football’s height when it was kicked 41 yards away was -1.762 yards.

What is yard?

A yard is a unit of length measurement in the imperial and US customary systems of measurement. It is equal to 3 feet or 36 inches.

The equation given is a parabolic equation which models the path of the football. It is a quadratic equation in the form of y = ax² + bx + c, where a, b, and c are coefficients that determine the shape of the path. The coefficient a represents the rate of change in the football’s height as it moves away from the punter. In this equation, a is -0.035, which indicates that the football’s height decreases as it moves away from the punter. The coefficient b indicates the rate of change in the football’s height as it moves back toward the punter, and in this equation, b is 1.4, which means that the football’s height increases as it moves back towards the punter. Finally, the coefficient c is 1, which indicates the height of the football when it is kicked.

In this case, the football was kicked 41 yards, so plugging x = 41 into the equation gives us y = -0.035(41²) + 1.4(41) + 1 = -1.762.

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The table below represents the total cost of leasing a car at the end each month. Write an equation in slope-intercept form to represent the total cost, y, of leasing a car for x months.

The table below represents the total cost of leasing a car at the end each month. Write an equation in

Answers

Given

total cost of leasing a car at the end each month

Find

Write an equation in slope-intercept form

Explanation

Let y represent the total cost , of leasing a car for x months.

slope intercept form is given by

y = mx + b

from table , we get two equations ,

1859 = m + b ...............1)

2577 = 3m + b ...............2)

now solve these two equations by elimination method ,

subtract both equations

\(\begin{gathered} 1859-2577=m+b-3m-b \\ -718=-2m \\ m=359 \end{gathered}\)

put the value of m in equation 1 to find the value of b

\(\begin{gathered} 1859=359+b \\ 1500=b \end{gathered}\)

so , the equation becomes

y = 359x + 1500

Final Answer

Hence , the equation in slope-intercept form is y = 359x + 1500

Pedro vive cerca del bosque, el terreno de su propiedad ocupa 15 metros en total, su casa ocupa sólo 6 metros, tiene un huerto el cual ocupa 4 metros y el resto es un espacio donde puede disfrutar de la naturaleza ahí encuentra algunas clases de musgos que le dan un aspecto maravilloso al bosque.” ● Representa con fracciones el espacio que ocupa la casa, el espacio que ocupa el huerto y deduce qué fracción representa el resto del terreno, a lado de cada fracción realiza la representación gráfica de cada una, usando las herramientas como tablas o insertar formas en PowerPoint.

Answers

El espacio que ocupa la casa sería 6/15, el espacio que ocupa el huerto sería 4/15 y el espacio restante del terreno sería 5/15.

¿Cómo representar las fracciones del terreno?

Para representar en forma de fracciones el área de los diferentes espacios del terreno de Pedro debemos tener en cuenta que el total tiene 15 metros. Adicionalmente, cuando representamos una fracción estamos informando cuántas unidades de un número x de unidades estamos utilizando. Por ejemplo, en este caso del total (15 metros) del terreno que tiene Pedro, él esta utilizando 6 metros para su casa. Esta fracción se representaría así:

6 / 15

Por otra parte, la fracción para representar el área del huerto de Pedro debe seguir los mismos lineamientos que la anterior, es decir en el numerador (número de la parte de arriba) ponemos el número de unidades que utilizamos y en el denominador (número de la parte de abajo) ponemos el número total de unidades disponibles. Entonces la fracción del huerto sería:

4 / 15

Por ultimo, para saber cuántas unidades quedan disponibles del terreno de Pedro, debemos restarle al total de terreno la cantidad de espacio que usamos:

15 - 4 - 6 = 5

De acuerdo con lo anterior, el espacio disponible serían 5 metros, que expresado en fraccionarios sería:

5 / 15

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Please help me with work

Please help me with work

Answers

1. the equation is y=mx+b. m= slope and b= y-intercept so your answer should be y=2/3x+2

2. point-slope form is y-y1/x-x1=m answer is y+4=-1(x-1)

3. i give up im sorry my brain is fried ;-;

4.uhh i graphed it and attached an image lol

dang i- cant do no more math today lol sorry good luck

Please help me with work
Please help me with work
Please help me with work

Find the vertex of the function given below.
y= x^2-2x+1
A. (2,-3)
B. (-2, 13)
C. (1,1)
D. (1,0)

Find the vertex of the function given below.y= x^2-2x+1 A. (2,-3)B. (-2, 13)C. (1,1)D. (1,0)

Answers

The vertex is (1, 0)

What is the answers to Part A, B, and C ?

What is the answers to Part A, B, and C ?

Answers

Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

How to explain the information

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five number summary for prices based on a sample of major US airlines was: Min

Answers

Answer:

Between 100 and 125

Step-by-step explanation:

Given

\(Min =60\)

\(Q_1 = 100\)

\(Median = 110\)

\(Q_3 = 125\)

\(Max =150\)

Required:

Between which values will the box of the box plot will stretch

All box plots stretches between the lower quartile and the upper quartile.

From the question, we have:

\(Q_1 = 100\) ---- lower quartile

\(Q_3 = 125\) ---- upper quartile

Hence, the box will stretch between 100 and 125

Which equation represents a linear function?
A.
3
x
+
2
y
=
6
B.
y
=
x
2

3
C.
y
=
2
x
+
7
D.
x
y
=
5

Answers

Answer: y = lxl + 5. B) y = 1. 2 x + 3. C) y = x2 - 4. D) y = 3. 4 x2. Explanation: The solution ... y = x. B) y = |x|. C) y = x2. D) y = x. Explanation: A linear function has a degree of 1. ... 2. 4. B. x f(x). 1. 6. 2. 7. 3. 8. 4. 9. 5 10. C. x f(x). -2 -3. -1 -1. 0. 1. 1. 3. 2. 5. D. ... Since the x is cubed in y = −3x3, it graphs as a curve. y = 5 ...

Step-by-step explanation:

Is the relation shown in
the table a function?
Explain.

Is the relation shown inthe table a function?Explain.

Answers

The inputs 4 and 8 have more than one out, the relation is not a function.

Is the relation shown in the table a function?

A relation is said to be a function if one input is mapped to one output.

that is, each x-value can only have one y-value.

From the table;

Input, output

4 ----- 1

8 ----- 3

4 ------5

8 ----- 4

4  is an input, it has an output of 1.

4 appeared again as input but this time has an output of 5.

This means one input has more than one output.

Also, 8 is an input, it has an output of 3.

8 appeared again as input but this time has an output of 4.

Which also means one input has more than one output.

Therefore, the relation is not a function.

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A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 90 cm wide at the top, and has height 50 cm. If the trough is being filled with water at the rate of 0.1 m3/min, how fast (in m/min) is the water level rising when the water is 10 cm deep?

Answers

Answer:

Let's start by finding the volume of water in the trough as a function of its depth.

At a depth of h cm, the cross-sectional area of the water is an isosceles trapezoid with bases of length b1 = 40 + (h/5) cm and b2 = 90 + (h/2) cm, and height 50 cm. The average width of the trapezoid is (b1 + b2)/2 = 65 + (3h/10) cm. Therefore, the volume of water in the trough at this depth is:

V(h) = 10 m x [(65 + (3h/10)) / 100 cm] x h cm

Simplifying this expression, we get:

V(h) = (13/2000) h^2 m^3

Now, we can use the chain rule to find the rate of change of V with respect to time t, given that dV/dt = 0.1 m^3/min:

dV/dt = (dV/dh) x (dh/dt) = (26/2000) h (dh/dt)

At the moment when the water is 10 cm deep, we have:

h = 10 cm

dV/dt = 0.1 m^3/min

Plugging in these values, we get:

0.1 m^3/min = (26/2000) x 10 cm x (dh/dt)

Solving for dh/dt, we get:

dh/dt = 0.1 m^3/min / (26/2000) / 10 cm

dh/dt ≈ 0.192 m/min

Therefore, the water level is rising at a rate of approximately 0.192 m/min when the water is 10 cm deep.

1/10+1/10

^Fraction addition

Answers

The answer is 1/5

= 1+1/10

= 2/10

= 2÷2/10÷2

= 1/5

Answer:

2/5

Step-by-step explanation:

How many solutions does this equation have? Solve on paper and enter your answer on Zearn.
9x +7x+8=-4+4(3x+5)

No solutions

One solution

Infinitely many solutions

Answers

Answer: One solution

Step-by-step explanation:

Simplify to find x:

9x +7x+8=-4+4(3x+5)

16x + 8 = -4 +12x +20

4x = -4 +20 -8

4x = 8

x=2

Find the equation for the line that passes through the point (3,-2), and that is perpendicular to the line with the equation x = 2.

Find the equation for the line that passes through the point (3,-2), and that is perpendicular to the

Answers

Step-by-step explanation:

x = 2 is, as you can see, parallel to the y-axis.

perpendicular to this (= crosses the original line in an angle of 90 degrees) is then a line parallel to the x-axis.

that means y is constant. all points on that line will have the same y value.

and we know one point already : (3, -2)

so all points of the perpendicular line will have y = -2

and that is the equation of the perpendicular line :

y = -2

Check picture pls this is geometry work

Check picture pls this is geometry work

Answers

Answer:

45

scalene

acute

Step-by-step explanation:

Answer: The triangle classified by the sides is 59 degrees.  The triangle is classified by the angel is 1

Step-by-step explanation:

1815 + 0230 = subtract as n military time

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 20:45

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

2045

Step-by-step explanation:

what is the value of 3n +1 when n =4

Answers

Answer:

13

Step-by-step explanation:

since n is 4 substitute it where there's n in the equation

3(4)+1

12+1

13

I hope this helps

Answer:

13

Step-by-step explanation:

so you start with the equation 3n+1

since you know n=4 then u put it in place of n making the equation 3*4+1

then you multiply and it's 12+1 which equals 13

When a lilac bush is planted, it is 24 inches tall. Each month, it grows 6 inches taller. How tall will it get over time?

Answers

In a year it will grow 96 inches or 8 feet
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When water evaporates, the energy that was used to evaporate the water is stored as:._____. Solve for x|2x+1| + |3x-4| = 5 Suppose that the functions g and h are defined for all real # as follows. Why might the author use the word pouring to describe the snake action in paragraph 91? 1.how can we stop others from falling into fake news2.if you have been victimized by fake news how can you respend?can answer itauto report if the answer is not correctTHANKYOU I Sing the Body Electricby Walt WhitmanPart 1:I sing the body electric,The armies of those I love engirth me and I engirth them, They will not let me off till I go with them, respond to them, And discorrupt them, and charge them full with the charge of the soul.Was it doubted that those who corrupt their own bodies conceal themselves? And if those who defile the living are as bad as they who defile the dead?And if the body does not do fully as much as the soul?And if the body were not the soul, what is the soul?1855 A cart accelerating slower when mass was increased.1st Law - 3rd Law Food Safety - Potential Hazards (CORE) in a certain group of african people, 4% are born with sickle-cell disease, an autosomal recessive disorder. heterozygous individuals not only don't have sickle-cell disease, but also are resistant to malaria. if this group is in hardy-weinberg equilibrium, what percentage of the population is heterozygous and resistant to malaria? List any THREEshopping skill that you will follow. is it possible to speak in a frantic way Enola wants to invest $8,600.00 in a savings account that pays 5.1% simple interest.How many years will it take for this investment to triple in value? Round your answer to the nearest tenth of a year.years for this investment to triple in value.It will take _____ years for this investment to triple in value. In a flowchart, the ____ is used to represent processing. a. lozenge b. diamond c. parallelogram d. rectangle pleaseee CAN YALL HALP ME what does these lines imply about working in a skyscraper Preparation of the correct buffer is key to any good biological experiment and it is important that you understand how to calculate the mass of each chemical required to make that buffer and what the resulting concentration of those constituents will be in moles per litre. Your text book explains that moles are just a way to express the amount of a substance, such that one mole is equal to 6.02 x 1023 particles of that substance. These particles can be can be atoms, molecules, ions etc, so 1 mole of water is equal to 6.02 x 1023 water molecules, or 1 mole of Na+ is equal to 6.02 x 1023 Na+ ions. Since different chemicals have different molecular weights (based on the number of protons and neutrons each atom contains) 1 mole or 6.02 x 1023 atoms of oxygen (O) will have a mass of 16g whereas 1 mole or 6.02 x 1023 atoms of sodium (Na) will have a mass of 23g. If you need more information on moles, please read Encyclopedia Britannica's Moles website. Although you may sometimes see it written as g/litre, the concentration of solutions is more often described in term of molarity since it better defines the chemical properties of a solution because it is proportional to the number of molecules or ions in solution, irrespective of molecular mass of its constituents. However, it is not possible to measure moles on a laboratory balance, so in the first instance chemicals are measured by mass (milligrams, grams, kilograms etc) and the number of moles is calculated using the known molecular mass (often called molecular weight and abbreviated to M.W.) of the chemical. As indicated earlier, the molecular mass of a chemical is based on the number of protons and neutrons that is contained in each atom (eg NaCl is made up of one molecule of Na, M.W. = 22.99g and one molecule of Cl, M.W. = 35.45g, so the M.W. of NaCl is 58.44g). These values can be found in the periodic table however the molecular mass of chemicals is generally provided by any vendors of the products and so can also be found on various suppliers websites. For the reaction 2NO(g) + Cl2(g) --->2NOCl(g) if the concentration of NO is tripled, the rate of the reaction increases by a factor of nine. if the concentration of Cl2 is cut in half, the rate of the reaction is decreased to half the original rate. Find the order of reaction for each reactant and write the rate expression for the reaction. Populism and progressivism Give an example of charging more for short trips than for longer ones:NO FILES how is the theme guilt shown in the book Long Way Down by jason Reynolds A company sells sets of kitchen knives. A Basic Set consists of 2 utility knives and 1 chef's knife. A Regular Set consists of 2 utility knives, 1 chef's knife, and 1 slicer. A Deluxe Set consists of 3 utility knives, 1 chef's knife, and 1 slicer. The profit is $20 on a Basic Set, $30 on a Regular Set, and $80 on a Deluxe Set. The factory has on hand 1200 utility knives, 600 chef's knives, and 300 slicers. (a) If all sets will be sold, how many of each type should be made up in order to maximize profit? What is the maximum profit? (b) A consultant for the company notes that more profit is made on a Regular Set than on a Basic Set, yet the result from part (a) recommends making up more Basic Sets than Regular Sets. She is puzzled how this can be the best solution. How would you respond? (a) Find the objective function to be used to maximize profit. Let x 1be the number of Basic Sets, let x 2be the number of Regular Sets, and let x 3be the number of Deluxe Sets. What is the objective function? z=20x 1+30x 2+80x 3(Do not include the $ symbol in your answers.) (a) To maximize profit, the company should make up Basic Sets, Regular Sets, and Deluxe Sets. (Simplify your answers.)