Mathematics College

Suppose (b − c)d = 0, where b and c and m × n matrices and d is invertible. show that b =
c.

Answers

Answer 1
If [tex]\mathbf D[/tex] is invertible, then

[tex](\mathbf B-\mathbf C)\mathbf D=\mathbf 0\implies(\mathbf B-\mathbf C)(\mathbf D\mathbf D^{-1})=\mathbf0\mathbf D^{-1}[/tex]
[tex]\implies(\mathbf B-\mathbf C)\mathbf I=\mathbf 0[/tex]
[tex]\implies\mathbf B-\mathbf C=\mathbf 0[/tex]
[tex]\implies\mathbf B+(-\mathbf C+\mathbf C)=\mathbf 0+\mathbf C[/tex]
[tex]\implies\mathbf B+\mathbf0=\mathbf C[/tex]
[tex]\implies\mathbf B=\mathbf C[/tex]

Related Questions

IMPORTANT

[how do you]Find sin theta if tan theta = 3/4

Answers

[tex]\bf tan(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{adjacent}{4}}\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{3^2+4^2}\implies c=5 \\\\\\ sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{hypotenuse}{5}}[/tex]

bear in mind that, though the square has two valid roots, one negative and one positive, the hypotenuse is just a radius distance, and therefore is never negative.

Please the question is on the picture

Halves of the following
12
10
13
15
8
5

Answers

The question in the picture is very different from the question before the picture.

Half of 12 is ____
is a different question than
12 is ____ halves

When you say, "Halves of 12, 10, ..." it looks like you're asking the first version.

One of something is 2 halves. That is, the number of halves is exactly two times the number of "somethings." Hopefully, you can multiply each of these numbers by 2.

12*2 = 24
10*2 = 10
13*2 = 26
15*2 = 30
8*2 = 16
5*2 = 10

(Will give Brainliest/5 stars for correct answer)

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.

B = 46°, a = 12, b = 11

A) A = 38.3°, C = 95.7°, c = 8; A = 141.7°, C = 84.3°, c = 8
B) A = 51.7°, C = 82.3°, c = 8; A = 128.3°, C = 5.7°, c = 8
C) A = 38.3°, C = 95.7°, c = 15.2; A = 141.7°, C = 84.3°, c = 15.2
D) A = 51.7°, C = 82.3°, c = 15.2; A = 128.3°, C = 5.7°, c = 1.5

Answers

By asking on Brainly, you clearly don't care how you get the answer.

The part of interest is the law of sines tells you
.. A = arcsin((12/11)*sin(46°)) = 51.7° . . . or . . . 180°-51.7° = 128.3°
.. c = 11*sin(82.3°)/sin(46°) ≈ 15.2 . . . or . . . sin(5.7°)/sin(46°) ≈ 1.5

Selection D is appropriate.

help me plssssssssssssssssssssssssssssssssssssssss

Answers

 First, let's give the variable a name:
 Let
 x = gallons of water to be added
 For the 10% solution we have:
 0.1 * 8 = 0.8
 Then, for 5% we have:
 (0.8 / x + 8) = 0.05
 Rewriting:
 (0.8 / x + 8) = (5/100)
 Answer:
 An equation can be used to find x, the humber of gallons of water he should add is:
 (0.8 / x + 8) = (5/100) 

6 + w = -8. What is w?

Answers

The answer to solving for w is:
w = -14

Happy to help and just let me know if ya need extra help.
~Brooke❤️
Hi!

The answer would w = -14 because you take -8 and switch the sign to positive +8 and add 6, so 8 + 6 = 14 then you take 14 and make it a negative number and putting it in the place of w, therefore 6 + (-14) = -8

For Anya's birthday her father gave out colorful birthday hats that were cone shaped. The opening of the bottom of the hat was 3 cm and the height of the cone was 7 cm. Anya fills her hat with candy. What is the exact volume of candy?

J. 65.97 cubic centimeters

K. 20.36 cubic centimeters

L. 16.49 cubic centimeters

M. 56.48 cubic centimeters

Answers

Formula
V = (1/3) pi * r^2 h

pi = 3.14
d = 3 cm. (very small)
r = d/2 = 3/2 = 1.5 cm
h = 7 cm

V= (1/3) 3.14 * 1.5^2 * 7
V = 1.04 * 1.5^2 * 7
V = 16.485 cm^3

L <<<<==== answer.

Answer:

Step-by-step explanation:

For the florist problem you would do 6 assistance

Ms.jones has a decorative pyramid that sits on her fireplace mantle .the base is an equilateral triangle with an area of 6 square inches. The height of the pyramid is 15 inches. What is the volume?

Answers

The volume is given by
.. V = (1/3)Bh
Fill in the given values and do the arithmetic.
.. V = (1/3)(6 in^2)*(15 in)
.. V = 30 in^3

The volume is 30 cubic inches.

Final answer:

To find the volume of Ms. Jones's pyramid with an equilateral triangle base area of 6 square inches and a height of 15 inches, we use the volume formula for a pyramid, V = [tex]\frac{1}{3}[/tex] × base area × height, resulting in a volume of 30 cubic inches.

Explanation:

To calculate the volume of the pyramid, we use the formula for the volume of a pyramid which is V = [tex]\frac{1}{3}[/tex] × base area × height. The base of Ms. Jones's decorative pyramid is an equilateral triangle with an area of 6 square inches, and the pyramid's height is 15 inches. First, we need to find the volume using the given base area and height.

Substituting the values into the formula, we get:

V = [tex]\frac{1}{3}[/tex] × 6 in² × 15 in

V = 2 in² × 15 in

V = 30 in³

Therefore, the volume of Ms. Jones's pyramid is 30 cubic inches.

Tony is building a dog house, and the front view of the roof is shown below

Answers

Answer:

The height is 21 inches.

Step-by-step explanation:

We can find the height by using Pythagoras theorem.

As we know it is an isosceles triangle. So, the base can be divided equally in 2 parts for both triangles.

So, we can take the hypotenuse as 29 inches and base as 20 inches.

Now applying Pythagoras theorem, we get;

[tex]29^{2} =20^{2} +x^{2}[/tex]

[tex]841=400+x^{2}[/tex]

=>[tex]841-400=x^{2}[/tex]

=>[tex]x^{2} =441[/tex]

[tex]x=\sqrt{441}[/tex]

x=[tex]\sqrt{3*7*3*7}[/tex]

=> [tex]x=21[/tex]

Hence, the height is 21 inches.

A company sells boxes that are 2 3/8 feet high, 3 5/8 feet long, and 1 7/8 feet wide. John has a storage room that is 8 feet wide, 10 feet deep, and 12 feet high. You may rotate the boxes so that the width and length are interchanged, but the boxes may not be laid on their sides. a. What is the maximum number of boxes that he may stack on top of one another? b. How much room will there be left between the top of the stack of boxes and the ceiling?

Answers

a) (12 ft)/(2 3/8 ft) = 5 1/19

The maximum height of a stack of boxes is 5 boxes.


b) (1/19)*(2 3/8 ft) = 1/8 ft is the room left at the top of the stack.

Give a big-o estimate for the number of operations (where an operation is an addition or a multiplication) used in this segment of an algorithm. t := 0 for i := 1to3 for j := 1to4 t := t + ij

Answers

We have a "rectangular" double loop, meaning that both loops go to completion.
So there are 3*4=12 executions of t:=t+ij.

Assuming two operatiions per execution of the innermost loop, (i.e. ignoring the implied additions in increment of subscripts), we have 12*2=24 operations in all.

Here the number of operations (+ or *) is exactly known (=24). 

Big-O estimates are used for cases with a varying scale of operations, governed by a variable (usually n) to indicate the sensitivity of the number of operations relative to a change in the size of n.

Here we do not have a scale, nor n is defined.  The number of operations is constant and known at 24.   So a variable is required to find the big-O estimate.

Find the 29th term of the following sequence. 19.5, 19.9, 20.3, 20.7, . . .

Answers

This is the concept arithmetic sequence;
the nth value is given by:
nth=a+(n-1)d
where:
a=first term
d=common difference
n=number of  terms
From the series:
19.5, 19.9, 20.3, 20.7,.....
a=19.5
d=0.4
n=29
thus
29th=19.5+(29-1)0.4
29th=30.7 

solve for y: when 3x + 2x+3y =180

Answers

y = - 5x / 3 + 60

that's your answer!

If mc019-1.jpg and n(x) = x – 3, which function has the same domain as mc019-2.jpg?

Answers

We know that m o n(x) = m(n(x))

This means           

                                     (x-3) + 5       x+2
                   m(n(x)) =  ------------- = --------
                                     (x-3) -1         x-4

The domain of this function is all real numbers - {4}

The function with the same domain is h(x) = 11/x-4

Answer:

It's C to save you time.

Step-by-step explanation:

Sabah has $450 to pay for college textbooks. She expects to pay about $75 per book. Her friend told her that 4 of them can be checked out of the library for free.

Complete the equation below to find the total number of books that Sabah can get for her classes. Use b to represent the total books.

Answers

450 is the total amount of money and it is divided by 75 to get the total number of books possible under that amount per book. The reason four is added is that it is stated that four of the books necessary are to be taken from a library for free. Therefore, when solved, b is equal to 10
 

You run around the perimeter of a baseball field at a rate of at least 11 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field?

Answers

1) we have to calculate the lenght of the baseball field.
perimeter of the baseball field=2(radius)+lenght of a semicircle.
2(radius)=2(175 ft)=350 ftlenght of a semicircle=40% of a circumference=(40/100)(2πr)
Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)==350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,

2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.
10 ft------------------------1 second789,82 ft-----------------    x
x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s

Answer: 79 seconds.

PLEASE MARK ME AS THE BRAINLEIST
 

The correct answer for your question is 79 seconds.

What is the period of the function y = 3 csc x?

Answers

since csc(x) is the reciprocal identity of sin(x), they both have the same period, and since sin(x) has a period of 2π, so does csc(x).

The period of the function is 2π.

What is period of the function?

The time interval between two waves is known as a Period whereas a function that repeats its values at regular intervals or periods is known as a Periodic Function.

Given:

y = 3 csc x

As, csc(x) carry the reciprocal identity of sin(x).

So, they both have the same period

The period of sin(x) is 2π.

Hence, the period of csc(x) is 2π.

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Find the length of the chord of a circle of radius 100 feet subtended by an angle of 75◦ ?

Answers

1. By definition, the chord of a circle is a segment that joins the two points of an arch and if it passes through the center of the circle, is called "diameter". There is a formula that you can use to find the chord lenght. This is:

 Chord lenght=2rSin(A/2)

 2. Let's convert the angle from degrees to radians:

 75°π/180°=5π/12

 3. So, you have:

 r: It is the radius of the circle (r=100 feet).
 Sin: It is the sine function.
 A: It is the angle subtended at the center by the chord (A=5π/12).
 

 4. When you substitute these values into the formula (Chord lenght=2rSin(A/2)), you obtain the chord lenght:

 Chord lenght=2rSin(A/2)
 Chord lenght=2(200 feet)(Sin(5π/12/2))

 5. Therefore lenght of the chord is:
 Chord lenght=18.2706 feet

Find the value of z such that 0.96420.9642 of the area lies between −z−z and z. round your answer to two decimal places.

Answers

If z represents the variable of the standard normal distribution curve N(0,1), which is symmetrical about z=0, then we look for
P(z)-P(-z)=0.9642=1-2P(-z) => P(-z)=(1-0.9642)/2=0.0179
=>
-z=-2.099192
=> z=2.099192
Check:
P(2.099192)-P(-2.099192)=0.9642  ok

Final answer:

The value of z where 0.9642 of the area lies between -z and z is found by looking up the area 0.4821 (half of 0.9642) in a Z-table or using the invNorm function with 0.4821 on a normal distribution calculator. This will provide the z-score to be rounded to two decimal places.

Explanation:

You are looking for the value of z such that 0.9642 of the area under the normal distribution curve lies between −z and z. To find this, you'll need to use the properties of the standard normal distribution, commonly represented by a Z-table.

For a symmetrical distribution, half of the area you are interested in would be to the left of 0 and half to the right. Since 0.9642 is the total area between −z and z, we need to find the z-score that corresponds to half of this area from the mean to one end. Specifically, you're looking for the z-score where the area to the left is 0.4821 (0.9642 divided by 2).

Using a Z-table or an inverse normal function on a calculator, you can find the z-score that corresponds to an area of 0.4821. If you're using a Z-table, look up the closest area in the body of the table and find the corresponding Z-score. If you're calculating it (such as with the invNorm function on a calculator like the TI-83 or 84), input the left-tail area. The answer should be rounded to two decimal places.

The calculation would be something similar to invNorm(0.4821, 0, 1), where 0 and 1 are the mean and standard deviation of the standard normal distribution, respectively.

If z represents the variable of the standard normal distribution curve N(0,1), which is symmetrical about z=0, then we look for

P(z)-P(-z)=0.9642=1-2P(-z) => P(-z)=(1-0.9642)/2=0.0179

=>

-z=-2.099192

=> z=2.099192

Check:

P(2.099192)-P(-2.099192)=0.9642

1. You are visiting Baltimore, MD and a taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile.

A. Write an equation that you could use to find the cost of the taxi ride in Baltimore, MD. Let x represent the number of. miles and y represent the total cost.
B. How much would a taxi ride for 8 miles cost?
C. If a taxi ride cost $15, how many miles did the taxi travel?

Answers

A)    y=0.75X+3.00

B) $9.00

C) 16 miles 

hope that helps 

Answers to all parts are as follows -

The equation to find the cost will be y(x) = 0.75x + 3 For 8 miles of travel, the total cost would be $9.For a total fare of $15, we can ride for 16 miles.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile.

PART - A

Assume that [x] represent the number of miles and [y] represent the total cost. Therefore, the equation that you could use to find the cost of the taxi ride in Baltimore can be written as-

y(x) = 0.75x + 3

or

y(x) = 3x/4 + 3

PART - B

For [x] = 8 miles, the total cost will be -

y(8) = (3 x 8)/4 + 3

y(8) = 6 + 3

y(8) = 9

For 8 miles of travel, the total cost would be $9.

PART - C

For a total fare of $15 -

15 = 3x/4 + 3

12 = 3x/4

x = (12 x 4)/3

x = 16

For a total fare of $15, we can ride for 16 miles.

Therefore -

The equation to find the cost will be y(x) = 0.75x + 3 For 8 miles of travel, the total cost would be $9.For a total fare of $15, we can ride for 16 miles.

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The equation of straight lines L1 And L2 are .....
see the photo

Answers

Very interesting and inspiring problem.  Wish there are more of these.

First, we know that a possible equation of L2 is  y=1, then c=-1 => -y=-1 or y=1.
Of course, c could be just any negative number so that L2 lies above the x-axis.
=> c<0 ..........................................(III)  is true

Next, we note that L1 has a negative intercept, that meant that when x=0, y<0.  Go back to the original equation
ax+by=-1 => when x=0, by=-1, so b>0 in order for y to be negative.  So
b>0.   
We already know that c<0, so
b>c .....................................................................(II)  is true

Further, we note that L2 has a negative slope.  From the definition of slope, m, where m=-a/b 
=>
m=-a/b<0 => a/b>0.
We already know that b>0, so for a/b>0, a>0.  Therefore
a>0  ...................................................................(I)  is true

So we have established the truth values of (I), (II) and (III).
It will be up to you to select the answer choices.

Do check and understand all the arguments.  If in doubt, please post your queries.

use the proportion to convert millimeters to centimeters. 10mm/1cm=47mm/x

Answers

- The centimeter is defined as a unit of lenght. Its symbol is: "cm".

 - 1 centimeter=10 milimeters.

 - The milimeter is defined as a unit of lenght and its symbol is "mm".

 1. If you want to convert 47 milimeters to centimeters by using proportions, you have:

 10 mm/1 cm=47mm/x

 2. Then, you only have to clear the "x":

 (10 mm)x=(47mm)(1 cm)
 x=(47 mm)(1 cm)/10 mm

 3. Therefore, the result is:

 x=4.7 centimeters

last year, a married couple had their first child. should they file their federal income tax return using the 1040EZ form instead of the 1040 form?

A. No, partly because they will be able to claim a dependent.
B. No, partly because they will not be able to claim a dependent
C. Yes, partly because they will not be able to claim a dependent.
D. Yes, partly because they will be able to claim a dependent.

Answers

Answer:

A

Step-by-step explanation:

Apex just did the quiz:))

Option A is correct,  No, partly because they will be able to claim a dependent.

What is Income tax?

An income tax is a tax imposed on individuals or entities in respect of the income or profits earned by them. Income tax generally is computed as the product of a tax rate times the taxable income.

Having a dependent usually makes the 1040EZ form insufficient for most taxpayers, as the 1040EZ form is only recommended for those with simple tax situations.

In this case, the couple can claim their dependent as a tax credit, which is not possible on the 1040EZ form.

They should file a 1040 or 1040-SR form instead.

Hence, Option A is correct,  No, partly because they will be able to claim a dependent.

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Find the general solution of the differential equation x^2y′′+xy′−y=2x for x>0 by first showing that the function yp=−12x+x ln(x)is a particular solution for the differential equation.

Answers

[tex]x^2y''+xy'-y &=2x\\ x^2y''+2xy'-xy'-y &=2x\\ (x^2y')'-(xy)' &=2x\\ (x^2y'-xy)' &=2x\\ x^2y'-xy &=x^2+C_1\\ xy'-y &=x+\frac{C_1}{x}\\ x^2\left(\frac{y}{x}\right)' &=x+\frac{C_1}{x}\\ \left(\frac{y}{x}\right)' &=\frac{1}{x}+\frac{C_1}{x^3}\\ \frac{y}{x} &=\ln{x}-\frac{C_1}{2x^2}+C_2\\ y &=x\ln{x}-\frac{C_1}{2x}+C_2x[/tex]

find the surface area of the composite solid round your answer to the nearest tenth and explain your answer

Answers

I did most of it for you-
Volume of the cone is 13.1
Volume of the cylinder is 18.9
Now, you just subtract two of the flat circular surfaces, because the two shapes are attached, therefore those parts are not surface area. And there is your answer.
The surface area is calculated based on the surfaces which are visible from the outside. In this case, you only need to calculate the surface of lateral side on the cone, the surface of lateral side on the cylinder, and the circle on the lower base of cylinder.

Write the expression to find the surface area
sa = lateral side of cone + lateral side of cylinder + circle
sa = (π × r × s) + (2 × π × r × t) + (π × r²)

Input the numbers
sa = (π × 1 × 3) + (2 × π × 1 × 2) + (π × 1²)
sa = 3π + 4π + π
sa = 8π
sa = 8 × 3.14
sa = 25.12

to the nearest tenth
sa = 25.1

The surface area of the composite solid round is 25.1 m²

A pack of six cans of coffee cost 12$ . How much would 15 cans of coffee cost

Answers

$30 because 12/6 = 2 so 15 x 2 = 30

The cost for 15 cans of coffee is found by first determining the cost per single can, which is $2, and then multiplying this cost by the number of cans, resulting in a total of $30 for 15 cans.

To calculate the cost of 15 cans of coffee when a pack of six cans costs $12, we first need to find the cost of a single can. To do this, we divide the cost of the pack by the number of cans in the pack:

Cost per can = Total cost of the pack / Number of cans in the pack

Cost per can = $12 / 6 = $2

Now that we know the cost of one can, we can calculate the cost for 15 cans:

Total cost for 15 cans = Cost per can * Number of cans

Total cost for 15 cans = $2 * 15 = $30

Your friend asks you to help him with his snow shoveling business and will pay you 3 3 pennies for the first job. You agree to help if he triples your payment for each job completed. After 2 2 shoveling jobs, you will receive 9 9 pennies, and after 3 3 shoveling jobs, you will receive 27 27 pennies. What is the exponent?

Answers

The exponent is 3

This is how it would look
3^1 (the "^" means 'to the power of')
3^2
3^3


3^1= 3
3^2=9
3^3=27



The following stem-and-leaf plot represents the scores earned by Mr. Roberts's class on their most recent science test.

What is the median of the scores?
78
80
81
86

Answers

The median of {78, 80, 81, 86} is the average of the middle two scores, 80.5.

_____
For the picture, ...

There are 7 scores above the row with stem=8, and 7 scores below that row. Thus the middle score will be the middle score of the row with stem 8.

The median of the scores in the figure is 81.

Answer:

81

Step-by-step explanation:

37.5 x 10 to the negative 6 in scientific notation?

Answers

The scientific notation is 37.5×10^-6

Write a function numberofpennies() that returns the total number of pennies given a number of dollars and (optionally) a number of pennies. ex: 5 dollars and 6 pennies returns 506.

Answers

What language are you writing this in? C? Javascript? Java? Are you allow to have parameters? 
The general idea should be the same. Since 1 dollar  = 100 pennies, we should write something like...

Java:
public static double numberofpennies(double dollars, double penny) {         
           double sum = 0;                  

           // The amount of pennies that dollar represents       
           double converted = dollars * 100.0;                  

           sum = converted + penny;
         
           return sum;   
}
Note: You should probably place this question under the category computer and technology instead of math. Also, this is just an example of what you could possibly write. What parameters you are allowed to use, what type (double? int? etc?) of pennies are you allowed to return, etc. depends on how you write it. 



Final answer:

The numberofpennies() function calculates the total number of pennies by converting dollars to pennies and adding any additional pennies. It multiplies the number of dollars by 100 and adds the extra pennies to find the total.

Explanation:

Function to Calculate Total Number of Pennies

The function numberofpennies() is used to calculate the total number of pennies for a given amount of dollars and optionally, additional pennies. To do this, it converts the dollars into pennies and then adds the additional pennies if they are provided.

Example Function in Python

Here is an example of how one might write the numberofpennies() function in Python:

def numberofpennies(dollars, extra_pennies=0):
   return (dollars * 100) + extra_pennies

# Example usage:
total_pennies = numberofpennies(5, 6)
print(total_pennies)  # This would print 506

In this example, the function takes two arguments: dollars, which is a mandatory argument representing the number of dollars, and extra_pennies, which is an optional argument representing additional pennies. The function then returns the total number of pennies by multiplying the number of dollars by 100 and then adding the extra pennies if any.

What happens when year on year percent change goes below 0%?

Answers

Whatever was being measured is lower for the second year than it was for the first.
Other Questions
Repeating items over and over in order to aid memory is known as ______ rehearsal Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song. King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same? Which group of musicians was important to the development and popularization of bebop music. a. Duke Ellington, Glenn Miller, Benny Goodman b. Scott Joplin, Louis Armstrong, Coleman Hawkinsc. Scott Joplin, Charlie Parker, Glenn Millerd. Dizzy Gillespie, Charlie parker, Miles Davis Why isostatic rebound slows down over time Zinc, an essential trace element for most organisms, is present in the active site of the enzyme carboxypeptidase. the zinc most likely functions as _____. I would like to sell 3 gallon cans of peaches. what would the diameter of the base of the can need to be for it to be 6 inches tall and able to hold 3 gallon(s) of liquid? (note: 1 gallon = 231 cubic inches) August is a senior at a very expensive private high school. his father is a successful stock broker and his mother is a partner in a manhattan law firm. august gets caught stealing a shirt and claims he was just seeking the thrill of stealing something. this example highlights what concept of deviance studied by jack katz? When you write $1.35 what does the decimal point means Jessie sorted the coins in her bank. She made 7 stacks of 6 dimes and 8 stacks of 5 nickels. She then found 1 dime and 1 nickel. How many dimes and nickels does Jessie have in all? In the lac operon, the repressor inhibits transcription when After giving in to her friends' request that she drink alcohol with them, 16-year-old jessica found thast she couldn't resist the pressure they exerted on her to snort cocaine. her experience best illustrates: The average age of instructors at a local college is 55, with a standard deviation of 6 years; the average salary is $37,000 with a standard deviation of $4100. which is more variable? Read the passage.[Franklin wants his descendants to know about their ancestor. His list of virtues is important to him. In fact, he says he owes the constant happiness in his life to it. He is now seventy-nine years old. He owes his good health to Temperance. He owes his fortune to Industry and Frugality. To Sincerity and Justice, he owes the confidence his country has in him.]. . . and to the joint influence of the whole mass of the virtues, even in the imperfect state he was able to acquire them, all that evenness of temper, and that cheerfulness in conversation, which makes his company still sought for, and agreeable even to his younger acquaintance. I hope, therefore, that some of my descendants may follow the example and reap the benefit.At the end of The Autobiography, what consolation does Benjamin Franklin offer himself when he realizes that he will never be perfect?He acknowledges that he grew wealthy with his inventions.He realizes the effort made him a better and happier man.He is pleased that he has become a well-known statesman. A common feature of new experimental treatments for major depressive disorder, such as deep brain stimulation (dbs), vagus nerve stimulation (vns), and transcranial magnetic stimulation (tms), is that: Which of the following was not an influence on the people in Latin America who sought independence in the 19th century? (5 points)A. The EnlightenmentB. The Mexican-American WarC. The American RevolutionD. The French Revolution Which of the following is NOT a characteristic of a strong acid and a strong base?Has a [H+] higher than waterCompletely dissociates in waterHas a pH at the extreme end of the scaleIs corrosive to most metals Ga2O3(s) + 3SOCl2(l) --> 2GaCl3(s) +3SO2 In a certain reaction, 71.8 g of Ga2O3 is reacted with 110.8 g SOCl2.The GaCl3 produced is collected and its mass founded to be 97.66 g. What is the theoretical yield of GaCl3? When dealing with a client who has impaired hearing, where would the nurse sit to facilitate lip reading? How did religious practices of ancient India influence the modern world? An enumerated power the president has is