Compare and contrast these two forms of government:
- Autocracy
- Democracy

Answer:

E) y + 1 = -3 (x - 2)

Step-by-step explanation:

y-y1=m(x-x1)

Use this equation to solve a question like this. Just plug in the numbers you have to get the equation.

Answer:

(x^2 - 4y)( x^4 +  4x^2y + 16y^2)

Step-by-step explanation:

x^6−64y^3

- using the identity a^3 - b^3 = (a - b)(a^2 + ab + b^2)  with a = x^2 and b = 4y we have:-

(x^2 - 4y)( x^4 +  4x^2y + 16y^2)

Factored form of x6−64y3 is (x^2-4y)(x^2+2xsqrt(y)+4y)(x^2-2xsqrt(y)+4y)

What is factorisation?

#x^6-64y^3#

#=(x^2)^3-(4y)^3#

#=(x^2-4y))(x^4+4x^2y+16y^2)#

#=(x^2-4y)[(x^2)^2+(4y)^2+4x^2y)]#

#=(x^2-4y)[(x^2+4y)^2-2*x^2*4y+4x^2y)]#

#=(x^2-4y)[(x^2+4y)^2-8x^2y+4x^2y)]#

#=(x^2-4y)[(x^2+4y)^2-(2xsqrt(y))^2]#

#=(x^2-4y)(x^2+2xsqrt(y)+4y)(x^2-2xsqrt(y)+4y)#

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See the attached picture:

This expression would equal to 8.

Answer:

8

Step-by-step explanation:

t+4 / t-2 = 1/4

t=-6 for your answer!

Answer:

6*8 / (4-2) = 24

4*8 - (6+2) = 24

Step-by-step explanation:

For the first equation the parentheses are calculated first . Then the operations are done from left to right.

For the second the parentheses are worked out first , then the operations are done from left to right..

A point extending forever in one direction

A ray is a portion of a line which starts at a point and goes off in a particular direction to infinity.

41/6 = - 41/6 = - 6 5/6 = - 6.833333333333; Result written as a negative improper fraction, a mixed number (also called a mixed fraction) and a decimal number. Ordinary (simple, common) math fraction reducing to lowest terms (simplifying), answer with explanations below.

I believe it is 5/6 but I am not sure

The answer is q - 10 times 6

21 miles per hour would be her miles per hour.

B. Is true. Because if you were to multiply the number you would get these answers.

Option: D is the correct answer.

The k-value is: [tex]\dfrac{-1}{4}[/tex]

The table of values of x and y are given as follows:

    x        y

   -4        1

    8       -2

    12      -3

    20      -5

We know that x and y are said to be in proportional with constant of proportionality k if there is a constant k such that:

       [tex]y=kx[/tex]

for different ordered pair (x,y)

Here for ordered pair (-4,1) we have:

[tex]1=k\times (-4)\\\\i.e.\\\\k=\dfrac{-1}{4}[/tex]

Similarly for all the  other ordered pair we get:

k is a constant and

[tex]k=\dfrac{-1}{4}[/tex]

    Hence, the answer is:

          Option: D

Well I think that the answer is B because if you add all those up you'll get ten.

The equation that represents this situation is 1.05c + 0.76b = 10.

The equation that represents this situation is option A, which is 1.05c + 0.76b = 10.

To understand why this is the correct equation, let's break it down. The equation represents the total cost of the broccoli and cauliflower Tawny needs to buy. The cost of broccoli is given as $1.05 per pound, so we multiply this cost by the number of pounds of broccoli (b) Tawny wants to buy. Similarly, the cost of cauliflower is given as $0.76 per pound, so we multiply this cost by the number of pounds of cauliflower (c) Tawny wants to buy. The sum of these two costs should be equal to $10, which is Tawny's desired spending amount.

Look at where the line crosses the X axis.

Here we see it crosses -2

So your answer is A (-2, 0)

The [tex]x[/tex]-intercept of the graph using the definition of intercepts is [tex](-2,0)[/tex].

Thus, option [tex]1[/tex] is correct.

A point on the y-axis, through which the slope of the line passes, is called as intercept . The point at which the line crosses [tex]x[/tex]- axis is called [tex]x[/tex] intercept and the point at which the line crosses [tex]y[/tex] - axis is called [tex]y[/tex]  intercept .

According to the information provided by the graph,

The line crossed [tex]x[/tex]- axis at [tex]x = -2[/tex].

So, the intercepts of  [tex]x\\[/tex] axis will be [tex](-2,0)[/tex].

The [tex]x[/tex]-intercept of the graph using the definition of intercepts is [tex](-2,0)[/tex].

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An example that has no real solution could be an equation like:

-11x+4=-11x-11

Your answer would be the very first one since t would represent time(minutes) which is the x-axis, that's how you find the domain. And since your domain starts as a closed dot at 0 and ends as a closed dot at 14 t- 0<= t <= 14

Hope this was helpful :)

The answer would be 177.4

The division of 32,111 by 181 gives a quotient of 177 and a remainder 104. In essence, when 32,111 is divided by 181 completely, there is left an undivided 104.

In Mathematics, to determine the remainder of a division problem, you perform the division operation as usual and then observe the residual value. That residual value is the remainder. In your case, when 32,111 is divided by 181, the result is 177 with a remainder of 104. Therefore, the answer to your question '32,111 ÷ 181, what is the remainder?' is 104, this is the amount that can't be evenly divided over 181. It is known as the remainder of the division operation.

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Answer:

Given:

What Ms. Rochelle is trying to do is to divide. So, to solve the problem we divide, but this division is not exact.

[tex]\frac{29}{6}=4\frac{5}{6}[/tex]

This means that there will be 4 groups of 6 students each, and one remaining smaller groups of 5 students, that's the meaning of the mixed number.

Therefore, Ms. Rochelle will have 4 groups of 6 students and 1 groups of 5 students, which sum 29 students in total.

0.001 = 1 thousandth = 1/1000

We can write 1000 as 10^3. Note how 1000 has 3 zeros and the exponent for 10^3 is 3

So, 1/1000 = 1/(10^3) = (1/10)^3 = (0.1)^3

Therefore, 0.001 = (0.1)^3

0.001 rewritten as a cube = (0.1)³.

Given,

0.001 can written as

0.001 = 1/1000

We can write 1000 as 10³.

Note how 1000 has 3 zeros and the exponent for 10³ is 3

So,

1/1000 = 1/(10³) = (1/10)³ = (0.1)³

Therefore, 0.001 = (0.1)³

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Let the person's arm length be = x

Condition is : sleeve lengths available from 20 inches to 40 inches and the length of the sleeves should be about 1.2 times a person's arm length.

So, the inequality equation becomes:

[tex]20\leq1.2x\leq40[/tex]

This gives x=[tex]\frac{20}{1.2}=16.66[/tex] or [tex]16\frac{2}{3}[/tex]

or x=[tex]\frac{40}{1.2}[/tex]=33.33 or [tex]33\frac{1}{3}[/tex]

Hence, the shop does not provide tuxedos to people with arm length less than 16.66 inches and greater than 33.33 inches.

Answer:

Step-by-step explanation:

Let the arm length of tuxedo be x which varies from 20 inches to 40 inches.

If length of the sleeves is about 1.2 times a person's arm length.

Then the arm length of a person will be 1.2x.

Inequality for the arm length will be

20 < 1.2x < 40

Now we divide this inequality by 1.2

[tex]\frac{20}{1.2}<x<\frac{40}{1.2}[/tex]

16.67 < x < 33.33

This inequality represents the arm length of people having arm length between 16.67 and 33.33 inches.

tuxedo rental shop does not provide tuxedos to the persons having arm length less than 16.67 and greater than 33.33.

Solution: We are given:

Predicted Sales by Sameera [tex]=38[/tex]

Actual Sales by Sameera [tex]=28[/tex]

Now to find the Percent error, we have to use the below formula:

[tex]Percent-Error= \frac{|Predicted-value - Actual-value|}{Actual-value} \times 100 \%[/tex]

                       [tex]=\frac{|38-28|}{28} \times 100 \%[/tex]

                       [tex]=\frac{10}{28}\times 100 \%[/tex]

                       [tex]=35.71 \%[/tex]

Therefore, the percent error is [tex]35.71 \%[/tex]      

Answer:

c

Step-by-step explanation:

The large bag of pretzels is the better buy as it has a lower cost per ounce at $0.1993 compared to $0.2475 per ounce for the small bag.

To determine which bag of pretzels is the better buy, we need to calculate the cost per ounce for each bag. For the small bag, we divide $0.99 by 4 ounces to get the cost per ounce. For the large bag, we divide $2.99 by 15 ounces to find its cost per ounce. Once we have both costs per ounce, we can compare them to see which bag offers the lower cost per ounce and hence the better value.

For the small bag:

$0.99 / 4 ounces = $0.2475 per ounce

For the large bag:

$2.99 / 15 ounces = $0.1993 per ounce

Comparing the two, we can see that the large bag of pretzels offers a lower cost per ounce and is therefore the better buy.

To write an expression that shows 9 * 475 multiply using expanded form an distributive property we break 475 into three numbers

475 can be break into 400 + 70 + 5

Now we multiply by 9

9 x 475

9 x (400 + 70 + 5) (expanded form of 475)

We use distributive property here.

We distribute 9 inside the parenthesis

9 x 400 + 9 x 70 + 9 x 5

3600 + 630 + 45

4,275

[tex]2^{-10} = \frac{1}{2^{10}} = \frac{1}{1024}[/tex]

A negative power is equal to 1/that to the positive power.

Final answer:

2 to the -10th power equals 1/1024 or 0.0009765625 in decimal form. It is calculated by taking the reciprocal of 2 raised to the 10th power, following the rules of negative exponents.

Explanation:

The student is asking about 2 to the -10th power, which is a mathematical expression involving negative exponents. When dealing with negative exponents, it's important to remember that a negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. Therefore, to calculate 2 to the -10th power, we use the following steps:

Identify the base (2) and the negative exponent (-10).

Understand that a negative exponent means the reciprocal is taken.

Calculate the reciprocal of the positive exponent: 2¹⁰.

Since 2¹⁰ is 1024, the reciprocal is 1 divided by 1024.

So, 2 to the -10th power equals 1/1024, which can also be written as 0.0009765625 in decimal form. This concept is crucial for understanding scientific notation, where negative exponents represent small numbers.

Given

A laboratory technician needs to make a 117-liter batch of a 20% acid solution.

 How much the  technician combine  an acid solution that is pure acid with another that is 10% to get the desired concentration.

To proof

let us assume that the solution that is pure acid = x liters

let us assume that the anthor solution that is 10% = y liters

Than

the  equation becomes

x + y = 117

As given in the question

technician needs to make a 117-liter batch of a 20% acid solution

laboratory technician combine  an acid solution that is pure acid with another that is 10% to get the desired concentration

Convert 20% in the simpler form

[tex]=\frac{20}{100}[/tex]

= 0.2

Convert 10% in the simpler form

[tex]=\frac{10}{100}[/tex]

= 0.1

Than the equation becomes

0.2 × 117 = x + 0.1y

234 = 10x + y

Than the two equation are  

x + y = 117

234 = 10x + y

subtracted x + y = 117 from 234 = 10x + y

10x+y -x -y = 234 -117

9x = 117

x= 13

put this in the equation x + y = 117

13 + y =117

y = 117 - 13

y = 104

Therefore

The solution that is pure acid be 13 liters.

than the other solution that is 10% is 104 liters.

Hence proved

I will try my best to assist you with your question.

4/9 to -2/9 = -2/3

Show work!

_____________________________

4/9 -4/9 = 0/9

0/9 + (-2/9) =-2/9

-4/9+-2/9= -6/9

-6/9=-2/3

The answer is -2/3

Hope I helped!

Good Luck!

Answer:

29.31 cubic inches

Step-by-step explanation:

The dimension of the cylindrical mold is:

Radius (r) = 2 inches

Height of the cylinder (h)= 5 inches

The dimension of the sphere is:

Radius (r) = 2 inches

Lets calculate the amount of wax needed for the cylindrical candle:

A [tex]=\pi \times r^2\times h[/tex]

[tex]A=3.14\times 2^2\times 5=3.14\times 4\times 5=62.8[/tex] cubic inches

Now, lets calculate the amount of wax needed for the spherical mold:

[tex]A=\frac{4}{3}\times \pi \times r^3=\frac{4}{3}\times 3.14 \times (2)^3=\frac{4}{3}\times 3.14\times8=33.49[/tex] cubic inches

So the approximate difference in the amount of wax needed to make a candle from each of these molds is given by:

Amount of wax for the spherical mold subtracted by the amount of wax for cylindrical mold:

[tex]62.80-33.49=29.31[/tex] cubic inches

So the approximate difference in the amount of wax is 29.31 cubic inches.

Answer:

29.31

Step-by-step explanation:

30x + 30y = 450

20x + 25y = 345

answer: 3 square ft per minute

To determine the number of rows and the number of each type of plant Stacy can have, we need to find the greatest common factor (GCF) of the plant counts. The GCF represents the number of plants in each row. The GCF of 27, 45, and 54 is 9, so Stacy can have 9 rows with 3 tomato plants, 5 bean plants, and 6 carrot plants in each row.

To determine the greatest number of rows that Stacy can have in her vegetable garden while still using all of her plants, we need to find the greatest common factor (GCF) of the numbers 27, 45, and 54. The GCF will represent the number of plants Stacy can have in each row.

First, we can find the GCF of 27 and 45 by listing their factors:

27: 1, 3, 9, 27

45: 1, 3, 5, 9, 15, 45

The greatest common factor of 27 and 45 is 9.

Next, we find the GCF of 9 and 54:

9: 1, 3, 9

54: 1, 2, 3, 6, 9, 18, 27, 54

The greatest common factor of 9 and 54 is 9.

Therefore, Stacy can have 9 rows in her garden, and each row will have 3 tomato plants, 5 bean plants, and 6 carrot plants.

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g - 3/7 = 2/7   is an equation.

[tex]\displaystyle\bf\\g-\frac{3}{7}=\frac{2}{7}\\ \\g=\frac{2}{7}+\frac{3}{7}=\frac{2+3}{7}=\frac{5}{7}\\\\\boxed{\bf g=\frac{5}{7}}[/tex]