Train your brain :) Find the width of a rectangular prism
-The volume is 546cm3
- The height is 7cm
- The length is 13cm.

To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.

Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.

E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.

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Answer:

angle 8 is congruent to angles 3, 6, and 1

Step-by-step explanation:

If n and q are parallel then corresponding and vertical angles would be congruent. So: angle 8 is congruent to angles 3, 6, and 1.

Answer:

1. 5200

2. 0.000965

3.0.085

4.27100

Step-by-step explanation:

The table that represents the relationship between Lemon poppy and Bran muffins is as under:

Lemon poppy Muffins                    Bran Muffins

22                                                             2

66                                                             6

88                                                             8

Given that a backery sells 22 Lemon Poppy Muffins for every 2 Bran Muffins.

We are required to find the table that represents the relationship between lemon poppy and Bran Muffins.

To find the table we need to just multiply 1,2,3,4,5,etc.

Table contain rows and columns which shows some relationship between variables.

Table which shows represents the relationship between lemon poppy and Bran Muffins is as under:

Lemon Poppy Muffins                     Bran Muffins

22                                                            2

44                                                            4

66                                                            6

88                                                            8

Hence the table that represents the relationship between Lemon poppy and Bran muffins is as under:

Lemon poppy Muffins                    Bran Muffins

22                                                             2

66                                                             6

88                                                             8

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==========================================================

Explanation:

There are 12 choices for the first topping and 11 for the next topping. The decrease is to account for the fact we cannot select a repeat topping.

That gives 12*11 = 132 permutations. If order of toppings mattered, then this would be our final answer.

However, the topping order doesn't matter. So we need to divide by 2 to correct for the double counting.

There are 132/2 = 66 combinations.

------------

Alternative Method:

n = 12 toppings are available and r = 2 selections are allowed

Order doesn't matter so we use the nCr combination formula

\(n C r = \frac{n!}{r!(n-r)!}\\\\12 C 2 = \frac{12!}{2!*(12-2)!}\\\\12 C 2 = \frac{12!}{2!*10!}\\\\12 C 2 = \frac{12*11*10!}{2!*10!}\\\\ 12 C 2 = \frac{12*11}{2!}\\\\ 12 C 2 = \frac{12*11}{2*1}\\\\ 12 C 2 = \frac{132}{2}\\\\ 12 C 2 = 66\\\\\)

There are 66 combinations

Notice the 2nd to last step involves 132/2 which was mentioned in the previous section.

Answer:

The answer is d

Answer:

\(7y-8x=-49\) or \(-8x+7y=-49\)

Step-by-step explanation:

Standard form is:

Ax+By=C

In this case, we can start by subtracting 8/7x from both sides:

\(y=\frac{8}{7}x-7\\y-\frac{8}{7}x=-7\)

Multiply both sides by 7 to remove the fraction:

\(7(y-\frac{8}{7}x)=-7(7)\\7y-8x=-49\)

Step-by-step explanation:

1. if to calculate the length of AB; AC and BC, then:

\(|AB|=\sqrt{(2-0)^2+(3-0)^2} =\sqrt{13}.\)

\(|AC|=\sqrt{(4-0)^2+(0-0)^2} =4.\)

\(|BC|=\sqrt{(2-4)^2+(0-3)^2}= \sqrt{13}.\)

2. if to compare the calculated lengths, then:

AB=BC. It means the given triangle is isosceles.

Answer:

7-cup carton of pineapple juice for $3.01

Step-by-step explanation:

2-quart carton of pineapple juice for $2.00

2.00 : 2 = 1.00

check your work:  1.00 x 2 = 2.00

so for the first offer you will be paying $1.00 per quart

7-cup carton of pineapple juice for $3.01

1 cups = 0.25 quarts

7 cups = 1.75 quarts

3.01 : 7 = 0.43

check your work: 0.43 x 7 = 3.01

for the second offer you will be paying $0.43 per quart of juice. 7-cup carton of pineapple juice for $3.01 is a better buy because you will be paying less than half of the price for each quart  than the first offer.

hope this helps!

The percentage improvement in reliability when test length is doubled is 15%

R(n) = 0.25n / (0.75 + 0.25n)

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(1) = 0.25(1) / (0.75 + 0.25(1))

R(1) = 0.25 / 1

R(1) = 0.25

when test length is doubled , n = 2

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(2) = 0.25(2) / (0.75 + 0.25(2))

R(2) = 0.5 / 1.25

R(2) = 0.4

Percentage improvement can be calculated thus ;

R(2)-R(1)/R(1) × 100%

(0.4-0.25)/0.25 × 100%

0.15 × 100%

=15%

Therefore, percentage improvement in reliability is 15%

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An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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Randy's error is in the first step of the division, where he subtracts 4x² instead of adding it. The correct subtraction should be: x³ + 2x² + 5x - 3

Randy made an error in the step where he subtracted (2x² - 2x + 1) from (2x² - 3x³ - 3x² + 7x - 3).

Instead of getting -x³ + 4x² + 6x - 4 as the result, he got 2x⁴ - 4x³ + 2x². This error occurred because he forgot to change the sign of all the terms in (x² - 2x + 1) when subtracting it from the polynomial.

It should be (3x³ - 2x² + 7x - 3) divided by (x² - 2x + 1).

Let me proceed with this corrected version of the question.

Randy divides (3x³ - 2x² + 7x - 3) by (x² - 2x + 1) as,
2x² + x + 3
____________
x² - 2x + 1) 3x³ - 2x² + 7x - 3
2x³ - 4x² + 2x
_____________
x³ - 2x² + 5x
x³ - 2x² + x
____________
-3x² + 4x - 3
-3x² + 6x - 3
___________
\(-2x^2\) + x - 3

3x³ - 2x² + 7x - 3
-(2x³ - 4x² + 2x)
______________
x³ + 2x² + 5x - 3

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Randy made an error while dividing (2x⁴ - 3x³ - 3x² + 7x - 3) by (x² - 2x + 1). He mistakenly subtracted intermediate results from zero instead of the original polynomial, leading to an incorrect division.

Randy made an error in his division of the polynomial (2x⁴ - 3x³ - 3x² + 7x - 3) by (x² - 2x + 1). Let's go through the division process step by step to identify the mistake:

Randy correctly started by dividing 2x⁴ by x², which gives him 2x² as the first term of the quotient.

He then multiplied (x² - 2x + 1) by 2x², which resulted in 2x⁴ - 4x³ + 2x². So far, so good.

Randy should have subtracted this result from the original polynomial (2x⁴ - 3x³ - 3x² + 7x - 3), but he mistakenly subtracted it from 0. The correct step should have been to subtract 2x⁴ - 4x³ + 2x² from (2x⁴ - 3x³ - 3x² + 7x - 3).

Here's the corrected division:

(2x⁴ - 3x³ - 3x² + 7x - 3) - (2x⁴ - 4x³ + 2x²) = -3x³ - 5x² + 7x - 3

Now, Randy should have continued the division by bringing down the next term, which is -3x², and repeated the process. However, he incorrectly moved to the next step without subtracting -3x³ - 5x² + 7x - 3 from (x² - 2x + 1).

So, Randy's error is that he failed to properly subtract the intermediate result from the original polynomial, causing the division process to go awry.

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Answer:

1. 29/16=1.8125

2. 59/32=1.84375

3. (word by word so make sure to kinda change it up) Solution found using graphing technology: 1.8453.

1.8453 - 1.84375 = 0.00155. This solution is very close to the solution found using graphing technology.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 29/16=1.8125

2. 59/32=1.84375

3. (word by word so make sure to kinda change it up) Solution found using graphing technology: 1.8453.

1.8453 - 1.84375 = 0.00155. This solution is very close to the solution found using graphing technology.

Answer:

37

Step-by-step explanation:

x=-4

=2(5-(-4)2+1

=2(5+4)2+1

=2(9)2+1

=18(2)+1

=36+1

=37

The money collected during the second week was :  840

Analysis:

Total number of persons.

number of persons that paid first week = 12

number that paid second week = 62 - 12 = 50

if each person is to pay 16.40, then 50 people would pay = 16.4 x 50 = 840 dollars.

Hence we can conclude that The money collected during the second week was :  840

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Answer:

a)27.5

b)3

c)-92

d)-0.53

e)-6.75

f) 17.59545396. Rounded version is 17.6

Step-by-step explanation:

Answer:

Letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.

Step-by-step explanation:

Since we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D, to determine in how many ways can this be done, if the order of the choices matters, and in how many ways can this be done, if the order of the choices does not matter, the following calculations must be performed:

If order matters =

(4 x 3 x 2 x 1) / 2 = X

24/2 = X

12 = X

If the order doesn't matter =

12/2 = X

6 = X

Therefore, letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.

Answer:

2 real solution

Step-by-step explanation:

3xghrur

Answer:

Alternative A - 972π cu units

Step-by-step explanation:

The volume of a sphere can be calculated as follows:

V = 4/3πr³

where

V=volume of the sphere

r = radius of the sphere

Since the radius of the sphere is 9:

V = 4/3π(9)³

V = 4/3π*729

V = (4*729)/3π

V = 972π cu units

Answer:

28.26

Step-by-step explanation:

The formula for calculating diameter is πd (pi times the diameter), so 3.14 times 9 is 28.26.

The number of sides of the polygon, is 5

The perimeter of an object is the outer boundary length, is calculated by adding all its sides.

Given that, the perimeter of a different regular polygon is 75b - 20 the length of one of its sides is 15b-4 we need to find the number of sides of the polygon,

Let the number of sides of the polygon be x,

Therefore,

(15b-4)x = 75b-20

x = 75b-20 / 15b-4

x = 5(15b-4) / 15b-4

x = 5

Hence, the number of sides of the polygon, is 5

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The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

\(z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\)

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16\)

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Answer:

please i can only give you tips on how to solve it

divide the shape into 3 i.e triangle rectangle and triangle using their formula

rectangle = l×b

triangle= 1/2b×h

then multiply the three soln