What is the volume of a cereal box that measures 2 inches by 7 inches by 11 inches?

The value of x in the statement negative 3 less than 4.9 times a number x is the same as 12.8 is 2.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given a statement negative 3 less than 4.9 times a number, x, is the same as 12.8 this can be numerically expressed as,

4.9x - (- 3) = 12.8.

4.9x + 3 = 12.8

4.9x = 12.8 - 3.

4.9x = 9.8.

x = 9.8/4.9.

x = 2.

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Answer:

You should study for about 30-60 minutes and make sure your somewhere quite so you can focus. While you take your assessment you want water, and maybe some gum.

Answer:  In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

Step-by-step explanation:

A = {1, 2, 5, 7}

B = {3, 4, 6, 7}

C = {0, 5, 8, 9}

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

Answer:

Step-by-step explanation:

x = 5

Solution of 1/4 (x-3) ≤ -2 is x ≤ 5 . The value of x will be less than or equal to 5 .

Graph is attached below.

Given,

1/4 (x-3) ≤ -2

Now,

Inequality : 1/4 (x-3) ≤ -2

Solve for x,

x - 3 ≤ -8

Take -3 from LHS to RHS.

-3 will be converted to 3 in RHS .

x ≤ -8 + 3

x≤ -5

The value of x will be less than or equal to -5.

The graph of inequality is attached below and represents the the value of x is less than or equal to 5 .

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Answer:

this will probably help

Step-by-step explanation:

Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

The dimensions of the box if it is to use the minimum possible amount of metal are,

⇒ 2.714 m, 2.714 m, 1.358 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A container with an open top is to have 10 m³ capacity.

Now,

Let the dimensions are x, y and z.

Since, Volume of box = 10 m³

Hence, We get;

⇒ xyz = 10

⇒ z = 10/xy

Since, A container is open in top.

Hence, The surface area = 2xz + 2yz + xy

Substitute z = 10/xy;

⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy

          = 20/y + 20/x + xy

For minimum metal;

⇒ d (S.A)/ dx = 0

⇒ - 20/x² + y = 0

⇒ y = 20/x²  ..(i)

And, d (S.A) / dy = 0

⇒ - 20/y² + x = 0

⇒ x = 20/y²   ..(ii)

Divide equation (i) and ((ii);

⇒ x = y

Hence, We get;

⇒ xyz = 10

⇒ x³ = 10

⇒ x = 2.714

And, y = 2.714

So, The value of z is,

⇒ z = 10/xy

⇒ z = 10 / 2.714×2.714

⇒ z = 1.358 m

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The total flops as a function of the number of equations n for the LU decomposition version of Gauss elimination is given by (n^3 + 3n^2)/3.

The LU decomposition version of Gauss elimination involves 3 phases which are :

The flops in decomposition phase is (n^3)/3, forward-substitution phase is n^2 and back-substitution phase is 2n^2. By adding all the flops for these 3 disinct phases we get (n^3 + 3n^2)/3 as total flops as a function of the number of equations n for the LU decomposition version of Gauss elimination.

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\( x - 7 = 10 \\ \\ x = 10 - 7 \\ \\ x = 3\)

Considering the given discrete probability distribution, the probability of a randomly selected purchase having at most three tickets is P(X ≤ 3) = 0.92.

From the table, the distribution for the number of tickets bought in the purchase is given by:

The probability of a randomly selected purchase having at most three tickets is:

P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.55 + 0.20 = 0.92.

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Answer:

The third one

Step-by-step explanation:

Answer:

8/20 and 15/20 and then you add to get 23/20 AKA       1   3/20

Step-by-step explanation:

Since you multiply 5 by 4 to get the LCD, apply the same method to the top: 2 times 4 is 8

Next do the same for the other fraction: 4 times 5 is 20 so apply that to get 3 times 5 is 15

Your final fractions will be 8/20 and 15/20

Then add and reduce to get 1 3/20

Answer:

M = 165.66

Step-by-step explanation:

Given the proportion, \( \frac{M}{178} = \frac{188}{202} \), gif ind the value of M, start by multiplying both sides by 178

\( \frac{M}{178} \times 178 = \frac{188}{202} \times 178 \)

\( M = \frac{188 \times 178}{202} \)

\( M = \frac{188 \times 178}{202} \)

M = 165.66 (nearest hundredth)

The freighter is approximately 164.33 miles from the city.

We can use the Law of Cosines to solve this problem. Let's label the distances as follows:

d: distance between the city and the freighter

x: distance between the city and the island

y: distance between the island and the freighter

First, we need to find x using the given coordinates:

N23°38'W is equivalent to S23°38'E, so we have:

cos(23°38') = x/48

x = 48cos(23°38') ≈ 42.67 miles

Next, we can use the coordinates of the freighter to find y:

N11°26'E is equivalent to E11°26'N, and N12°16'W is equivalent to S12°16'E. This means that the angle between the island and the freighter is:

23°38' + 11°26' + 12°16' = 47°20'

cos(47°20') = y/d

We can rearrange this equation to solve for y:

y = dcos(47°20')

Now we can use the Law of Cosines to solve for d:

d² = x² + y² - 2xy cos(90° - 47°20')

d² = 42.67² + (d cos(47°20'))² - 2(42.67)(d cos(47°20')) sin(47°20')

d² = 1822.44 + d² cos²(47°20') - 2(42.67)(d cos(47°20')) sin(47°20')

d² - d² cos²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² (1 - cos²(47°20')) = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² sin²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² = (1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')) / sin²(47°20')

d ≈ 164.33 miles

Therefore, the freighter is approximately 164.33 miles from the city.

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Answer:

Step-by-step explanation:

inorder to solve the area of the shaded area;°/360ñRsquared

arc length you use ;°/360ñD

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

Answer:

Step-by-step explanation:

The closer together the points are to a line that can be drawn, the stronger the association.

1.  weak is B, the points are all over the place and a clear line can't even be drawn

2.  moderate is A, if you drew a line between the points, a line can be drawn and they points are somewhat close to the line

3. strong is C because you can draw a line through points are they are pretty closely clustered near the line.

Answer:

in 8 days

Step-by-step explanation:

soln

given,

total days=120

department=15

we know,

120/15

=8

•°•8days are given to each department.

Answer: The sum of rational and irrational number is always irrational...

Answer:

When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite recurring decimals, such as 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite non-recurring decimals, such as √ 2=1.414213562…………According to this point, people define irrational numbers as infinite non-recurring decimals. 2. All rational numbers can be written as the ratio of two integers; irrational numbers cannot.

(Rational number): A number that can be accurately expressed as the ratio of two integers. 　　 Such as 3, -98.11, 5.72727272..., 7/22 are all rational numbers. 　　 Integers and fractions are all rational numbers. Rational numbers can also be divided into positive rational numbers, 0 and negative rational numbers. 　　 Irrational numbers refer to infinite and non-recurring decimals such as: π 　　·The difference between irrational and rational numbers: 　　 1. When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite cyclic decimals. 　　 For example, 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite and non-cyclic decimals. 　　 For example, √2=1.414213562…………According to this point, people define irrational numbers as infinite and non-cyclic decimals. 　　2, all rational numbers can be written as the ratio of two integers; irrational numbers cannot. Based on this, some people suggested that irrational numbers should be removed from the "irrational" hat, and rational numbers should be called "comparative numbers" and irrational numbers should be called "irrational numbers". Originally, irrational numbers are not unreasonable, but people don't know much about it at first. 　　Using the main difference between rational and irrational numbers, we can prove that √2 is irrational. 　　Proof: Assume that √2 is not an irrational number, but a rational number.Since √2 is a rational number, it must be written as the ratio of two integers: √2 = p / q Since p and q do not have a common factor to be reduced, p / q can be considered to be the reduced fraction, the simplest form of fraction. Put √2 = p / q squared on both sides Get 2 = (p ^ 2)/(q ^ 2) Is 2 (q ^ 2) = p ^ 2 Since 2q ^ 2 is an even number, p must be an even number, so set p = 2m From 2 (q ^ 2) = 4 (m ^ 2) Get q ^ 2 = 2m ^ 2 Similarly, q must be an even number, let q = 2n Since p and q are both even numbers, they must have a common factor of 2, which contradicts the previous assumption that p/q is a reduced fraction. This contradiction is caused by the assumption that √2 is a rational number. Therefore √2 is an irrational number.

.

9 x (46+70) 5 - 32 (40 - 219) = 11428

Using the BODMAS rule, we solve the brackets first,

9 x (46+70) 5 - 32 (40 - 219)

= 9 x 116 x 5 - 32 x -179

Next, we solve the multiplication signs

9 x 116 x 5 - 32 x -179

= 5520 - ( -5728)

Solving the subtraction sign, we get

5520 - ( -5728)

= 11428

Hence, the answer is 11428

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Answer:

i think this correct

Step-by-step explanation:

3.24=(1+9.4/100) x

then x= 2.961 $

Answer:

A) 65

B) 5

C) 242

D) 531

E) 36

Step-by-step explanation:

A) Let the unknown term be x.

Difference between 5 & 9 = 4

Difference between 9 & 17 = 8 = 4×2

Difference between 17 & 33 = 16 = 8×2

It is observed that the difference between two terms is getting doubled. So,

Difference between 33 & x = 16×2 = 32

∴ x = 33 + 32 = 65

B) Let the unknown term be x.

Difference between 20 & 12 = 8

Difference between 12 & 8 = 8/2 = 4

Difference between 8 & 6 = 4/2 = 2

It is observed that the difference between two terms is getting halved.

Difference between 6 & x = 2/2 = 1

∴ x = 6 - 1 = 5

C) Let the unknown term be x.

Difference between 2 & 8 = 6

Difference between 8 & 26 = 18 = 6×3

Difference between 26 & 80 = 54 = 18×3

It is observed that the difference between two terms is getting tripled.

Difference between 80 & x = 54×3 = 162

∴ x = 80 + 162 = 242

D) Let the unknown term be x.

Difference between 36 & 69 = 33

Difference between 69 & 135 = 66 = 33×2

Difference between 135 & 267 = 132 = 66×2

It is observed that the difference between two terms is getting doubled.

Difference between 267 & x = 132×2 = 264

∴ x = 267 + 264 = 531

E) Let the unknown term be x.

4 = 2²

9 = 3²

16 = 4²

25 = 5²

It is observed that all the terms in the sequence are squares of consecutive natural numbers.

So, x = 6² = 36

Answer:

Step-by-step explanation:

There's no image, so can't answer it.  If you upload an image, I will help :)

Answer:

Step-by-step explanation:

Need a picture or we can't solve so yes please post another one.

y = 1.61x - 17.70

To calculate the line of best fit from a table, follow the following steps:

Step 1:Caculate the means of x and y

Step 2: Calculate the slope of the line of best fit

Step 3: Calculate the y-intercept, c, using the formula below:

Step 4: Substitute the values of m and c into the slope - intercept form of the equation of a line:

y = mx + c

y = 1.61x - 17.70

The equation of the line of best fit is y = 1.61x - 17.70

Answer:

3.5 seconds

Step-by-step explanation:

h(t) = 112t - 16t^2

we can re-write it: h(t) = -16t^2 + 112t

with a = -16 and b = 112

the formula -b/(2a) corresponds to x-coordinate of the maximum.

-112/(2 x -16) = 3.5

Answer:

c = 8

Step-by-step explanation:

Using the Intersecting Chords Theorem, we can form the following equation and solve for c:

\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)

Answer:

8+f

Step-by-step explanation:

The SUM of 8 and f

Pls tell me if Im wrong

Hope this helps

Answer:

No, the difference is -2.

Step-by-step explanation:

As the sequence progresses, the numbers get smaller(1, -1, -3, ...), and they get smaller by 2. Hence, the change in every number in the sequence as it progresses is -2.